All Research Areas
Dr. Linda J S Allen
Ph.D. 1981 University of Tennessee
Research Interests: Applied Mathematics, Mathematical Biology, Ordinary Differential Equations, and Stochastic Processes
Linda J. S. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral, and immune-system dynamics. The models may involve difference equations, ordinary differential equations, discrete-time or continuous-time Markov chains, branching processes, or stochastic differential equations. She is the author of two books: An Introduction to Stochastic Processes with Applications to Biology and An Introduction to Mathematical Biology.
Dr. Eugenio Aulisa
Ph.D. 2005 University of Bologna
Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations
Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007.
His primary research interests are in Computational fluid mechanics,
including modeling and simulation of multiphase flows and fluid-structure interaction problems,
non-linear analysis of fluid flow filtration in porous media, and
multigrid solvers with domain decomposition methods.
Dr. Harold Bennett
Ph.D. 1968 Arizona State University
Research Interests: Topology, Logic, and Set Theory
Harold R. Bennett received his B.S. from Idaho State University in 1963 and his M.A. and Ph.D. from Arizona State University in 1965 and 1968, resp. He came to Texas Tech as an assistant professor in 1968 and, in 1980, he was appointed as a professor.
Dr. Giorgio Bornia
Ph.D. 2012 University of Bologna
Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics; Applied Mathematics; Differential Equations; Mathematical Physics
Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013.
His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.
Dr. Lars Christensen
Ph.D. 1999 University of Copenhagen
Research Interests: Algebra
Lars Winther Christensen graduated from the University of Copenhagen in 1995 and obtained his Ph.D. from the same institution in 1999. After this he worked with telecommunications and crypto software development. In 2004 Lars went to University of Nebraska as visiting professor, and in 2007 he joined Texas Tech University.
Lars' research is in algebra; his interests focus an applications of homological and homotopical algebra to ring theory. Lars is the author of a monograph on Gorenstein homological dimensions and currently writing another book on derived category methods in commutative algebra.
Dr. Jay Conover
Ph.D. 1964 Catholic University of America, Washington D.C.
Research Interests: Statistics
Before getting his Ph.D. in mathematical statistics at Catholic University in Washington D. C., 1964, Dr. Conover taught as a TA at Iowa State University, and as an Instructor at the U.S. Naval Academy in Annapolis Maryland. His first tenure track position was at Kansas State University, where he taught in the Statistics Department for 9 ½ years before joining the Texas Tech Department of Mathematics and Statistics in 1973. His research interests are in applied statistics, and especially in nonparametric methods. He is a Highly Cited Researcher according to ISI, with over 30,000 citations to his books and papers. He has consulted with various pharmaceutical companies, and has done extensive consulting with several national laboratories including especially Los Alamos, Sandia in Albuquerque, Hanford Lab in Richland Washington, and Oak Ridge Lab in Tennessee. He has held visiting positions at the University of California at Davis, and the University of Zurich in Switzerland. He is listed in Whos Who in America, and Whos Who in the World.
Dr. Lance Drager
Ph.D. 1978 Brandeis University
Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and
received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership
at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor
in 1983, and became Associate Professor in 1990.
His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two
coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.
Dr. Leif Ellingson
Ph.D. 2011 Florida State University
Research Interests: Statistics and Geometric Shape Analysis
Leif Ellingson joined the department as an assistant professor in the fall of 2011. Prior to this, he completed a Ph.D. in statistics at Florida State University in the summer of 2011 and an M.S. from the same institution in 2009. Previously, he received a B.S. in mathematics from the University of Maryland in 2007.
Dr. Ellingsons dissertation research was in shape analysis with a focus on computationally efficient nonparametric methodology in application to the study of planar contours and structural proteomics. In addition to expanding upon those projects, his current research interests include statistics on manifolds and sample spaces with manifold stratification, as well as statistical applications in bioinformatics and computational biology.
Dr. Razvan Gelca
Ph.D. 1997 University of Iowa
Research Interests: Topology
Razvan Gelca received his Bachelor's Degree at University of Timisoara and his Masters Degree at University of Bucharest. After working for one year at the Institute of Mathematics of the Romanian Academy, he went for doctoral studies at University of Iowa. After graduation he had a three year postdoc at University of Michigan and then came to Texas Tech University.
Dr. Bijoy Ghosh
Ph.D. 1983 Harvard University
Research Interests: Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology
Bijoy K. Ghosh received the B.Tech. and M.Tech. degrees in Electrical and Electronics Engineering from BITS, Pilani, and the Indian Institute of Technology, Kanpur, India, and the Ph.D. degree in Applied Mathematics from the Decision and Control Group of the Division of Applied Sciences, Harvard University, Cambridge, MA, in 1977, 1979, and 1983, respectively. From 1983 to 2006, he has been a faculty member in the Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, as a professor, and directed the center for BioCybernetics and Intelligent Systems. Presently he is a Dick and Martha Brooks Endowed Professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, TX.
Bijoy received the American Automatic Control Council's Donald Eckman Award in 1988 in recognition of his outstanding contributions in the field of Automatic Control. He received the United Nations Development Program Consultancy in India under the TOKTEN program in 1993, the Japan Society for the Promotion of Science invitation fellowship for research in Japan in 1997. In the year 2000, he became a Fellow of the Institute of Electronics and Electrical Engineering for fundamental contributions to System Theory with applications to robust control, vision and multi sensor fusion.
Bijoy is a member of the editorial board of The IEEE Transactions on Computational Biology and Bioinformatics. He has held visiting academic positions at the Yale University, USA; Universita di Padova, Italy; Institut Mittag-Leffler and Royal Institute of Technology, Sweden; Tokyo Institute of Technology and Osaka University, Japan. He is a permanent visiting professor at the Tokyo Denki University, Saitama, Japan and Technical University of Munich, Germany.
Dr. Anthony Gruber
Ph.D. 2019 Texas Tech University
Research Interests: Differential Geometry, Discrete/Computational Geometry, applications to Physics, Biology and Data Science
Dr. Anthony Gruber received his Ph.D. in Mathematics from Texas Tech University in 2019. Before coming to Texas Tech Costa Rica, he was an NSF MSGI fellow at Oak Ridge National Laboratory in Oak Ridge, TN, where he helped develop a non-linear method for dimension-reduction in data-scientific applications. More recently, he has been interested in questions regarding the properties of Willmore surfaces and their generalizations, applying techniques from modern variational calculus and integrability theory to study their defining equations, and using ideas from conformal geometry to develop computational models for their geometric flows
Dr. Wei Guo
Ph.D. 2014 University of Houston
Research Interests: Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations
Wei Guo received his Ph.D. degree in applied mathematics from the University of Houston in 2014. He was a visiting assistant professor at Michigan State University before joining Texas Tech University. His research involves developing and analyzing efficient and high order accurate numerical algorithms and their applications to various fields, such as fluid dynamics and plasma physics. His recent work focuses on high order semi-Lagrangian methods for transport problems and high order sparse grid schemes for high-dimensional partial differential equations.
Dr. Alastair Hamilton
Ph.D. 2005 Bristol University
Research Interests: Algebra, Geometry, Mathematical Physics, and Topology
Alastair Hamilton joined the mathematics department in the fall of 2010. Prior to this, he spent three years at the University of Connecticut as a postdoctoral fellow and a year at the Max Planck Institut fur Mathematic in Bonn, Germany. He received his Ph.D. from the University of Bristol in 2005 and his master's degree from the same institution in 2002. His research interests lie in algebra and topology. His research explores the connections between these areas and parts of mathematical physics, such as quantum field theory.
Dr. Raegan Higgins
Ph.D. 2008 University of Nebraska-Lincoln
Research Interests: Applied Mathematics, Dynamic Equations, Ordinary Differential Equations, Time Scales, and Outreach Programs
Raegan Higgins research is in time scales; her interests focus on oscillation criteria for certain linear and nonlinear second order dynamic equations. She is also interested in applications of time scales to biology, economics, engineering, and statistics. Additionally, Dr. Higgins is involved in funded projects focused on STEM outreach with an emphasis in increasing minorities in STEM. She received her Bachelors Degree in Mathematics from Xavier University of Louisiana in 2002 and her Doctorate in Mathematics from the University of Nebraska-Lincoln in 2008.
Dr. Luan Hoang
Ph.D. 2005 Texas A&M University
Research Interests: Partial Differential Equations
Luan T Hoang received his Bachelor's degrees in Mathematics and in Information Technology from National University, Hochiminh city, Vietnam, in 1997. He received his Master's degree from Arizona State University in 2000, and Ph.D. degree from Texas A&M University in 2005. His research interests are partial differential equations, dynamical systems and fluid dynamics.
Dr. Victoria Howle
Ph.D. 2001 Cornell University
Research Interests: Applied Mathematics, Computational Mathematics, Numerical Analysis
Victoria Howle's research is in applied mathematics with a focus mainly on numerical linear algebra. Her main research interests have been in physics-based preconditioning for incompressible fluid flow problems, developing iterative methods and preconditioners for the solution of highly ill-conditioned systems that arise in faulted electrical power networks, and fault-tolerant linear algebra.
Dr. Akif Ibraguimov
Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow
Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics.
Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Sophia Jang
Ph.D. 1990 Texas Tech University
Research Interests: Applied Mathematics and Mathematical Biology
Sophia R.-J. Jang received her Ph.D. in 1990 from Texas Tech University. She joined Texas Tech as an associate professor in Fall of 2008. Before returning to Tech, she was a faculty member at the University of Louisiana at Lafayette. Her main research activities are in mathematical biology and applied mathematics.
Dr. Lourdes Juan
Ph.D. 2000 University of Oklahom
Research Interests: Computer Algebra, Differential Algebra, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization
Lourdes Juan received an undergraduate degree with honors (Titulo de Oro) in Mathematics from the University of Havana in 1991. From 1991-1995 she worked first as a trainee and then as a research resident in the department of Artificial Intelligence and Pattern Recognition of the Cuban Academy of Sciences. In 1995 she was granted the first student visa that the US government gave in Cuba since the 1960's to pursue doctoral studies at the University of Oklahoma. She graduated with a PhD in Mathematics in 2000 under the direction of Professor Andy Magid. She was a Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley during 2000-2001, and joined the Math Department of Texas Tech in the Fall of 2001 as an assistant professor. She is currently an associate professor with tenure.
Her research interests include the Galois Theory of differential and difference equations, algebraic groups and computer algebra.
Dr. Arne Ledet
Ph.D. 1996 University of Copenhagen
Research Interests: Algebra
Arne Ledet graduated from University of Copenhagen (Denmark) in 1992, and obtained his Ph.D. from the same institution in 1996. His subsequent postdoctoral employment included stays at Queen's University (Canada), MSRI (USA), Tokyo Metropolitan University (Japan), and University of Waterloo (Canada), before he came to Texas Tech in 2002 as Assistant Professor. His graduate and postgraduate work was in Galois theoretical embedding problems. Currently, his research is concerned with the related problem of constructing generic polynomials for Galois extensions. He is the co-author of a book on this subject, "Generic Polynomials" (with C. U. Jensen and N. Yui), published in 2002.
Dr. Jeffrey M Lee
Ph.D. 1987 University of California, Los Angeles
Research Interests: Differential Geometry, Geometric Analysis
Jeffrey M. Lee received his B.S. from Brigham Young University in 1982 and his M.A. and Ph.D. from University of California (Los Angeles) in 1984 and 1987, resp. He came to Texas Tech as an assistant professor in 1990 and, in 1996, he was appointed as an associate professor.
Dr. Wayne Lewis
Ph.D. 1977 University of Texas at Austin
Research Interests: Continuum Theory, Geometric Topology, and Topological Dynamics
Wayne Lewis received his Ph.D. from the University of Texas at Austin in 1977. He has been on the faculty of the Department of Mathematics at Texas Tech University since 1977 and Professor of Mathematics since 1989.
Dr. Lewis has research interests in continuum theory and in its relations to geometric topology and to topological dynamics. He has extensive results on hereditarily indecomposable continua, especially their structure, characterizations and mapping properties. He has given numerous short courses and workshops related to the subject.
Dr. W. Brent Lindquist
Ph.D. 1981 Cornell University
Research Interests: Oil Extraction is Matter of Mathematics, Physics, and Applied Math
Dr Lindquist is the Dean of the College of Arts and Sciences and an applied mathematician. His interests have included numerical methods for PDEs; flow in porous media; automated 3D image analysis for porous media, neuron, and fiber analyses; Riemann problems in 2D; hierarchy formation in social animal groups; and numerical solution of Feynman diagrams. He is a co-recipient of the Lee Segal prize from the Society of Mathematical Biology
Dr. Katharine Long
Ph.D. 1991 Princeton
Research Interests: Applied Mathematics, Computational Mathematics, and Numerical Analysis
Dr. Long's research is in scientific computing: ranging from work on developing efficient mathematical algorithms for large scale simulation and optimization, to the design of advanced software architectures for high-performance simulation, to application of computational simulation to problems in physics, engineering, biology, and national defense.
Dr. Long joined Texas Tech in 2007 after nine years in the computational mathematics research department at Sandia National Laboratories in Livermore, California. Previously, she worked in industry at Beam Technologies, was on the physics faculty at the State University of New York at Brockport, and was a postdoctoral researcher at the University of Massachusetts. Her undergraduate degree is in astronomy from the University of Maryland. Her graduate study was at Princeton University where she received a PhD in theoretical astrophysics in 1991.
Dr. Dermot McCarthy
Ph.D. 2010 University College Dublin
Research Interests: Number Theory and Special Functions
Dermot McCarthy joined the department in the fall of 2013. Prior to this, he spent three years in a visiting position at Texas A&M University. Dr. McCarthy received his Ph.D. in Mathematics from University College Dublin, Ireland, in 2010. His dissertation research was in the ways of the force and was completed under the direction of Mace Windu. His current research interests lie in number theory and special functions with particular focus on automorphic forms, hypergeometric functions and properties of algebraic varieties.
Dr. Chris Monico
Ph.D. 2002 University of Notre Dame
Research Interests: Algebra and Cryptography
Chris Monico received a B.S. in mathematics from Monmouth University, and the degrees of M.S. and Ph.D. from the University of Notre Dame. For the academic year 2002 Chris was a postdoctoral researcher at Notre Dame, before coming to Texas Tech in 2003. Dr. Monico's research has been primarily concerned with cryptology and certain computational algebra and number theoretic problems.
Dr. Dmitri Pavlov
Ph.D. 2011 University of California, Berkeley
Research Interests: Homotopy Theory, Higher Differential Geometry, D-modules and Mixed Hodge Modules, Factorization Algebras, Functorial Quantum Field Theory, Tomita—Takesaki Theory
Dmitri Pavlov joined the department as an assistant professor in 2017.
His research explores connections between quantum field theory, homotopy theory and higher category theory, and differential and algebraic geometry.
It includes areas such as model categories and abstract homotopy theory, differential, equivariant, and twisted cohomology theories, motivic homotopy theory, D-modules and mixed Hodge modules, factorization algebras, functorial field theory, and Tomita—Takesaki theory.
Dr. Angela Peace
Ph.D. 2014 Arizona State University
Research Interests: Mathematical Biology
Angela Peace received her PhD in Applied Mathematics from the School of Mathematical and Statistical Sciences, Arizona State University in 2014. Prior to coming to TTU, she was a postdoctoral fellow at the National Institute of Mathematical and Statistical Sciences in Knoxville, Tennessee. Her research in Mathematical Biology provides quantitative and qualitative improvements in the predictive power of theoretical and computational population ecology. She uses dynamical systems theory and tools to develop, analyze, and interpret mathematical models of biological systems, spanning the fields of ecology, toxicology, and epidemiology.
Dr. Stamatis Pouliasis
Ph.D. 2011 Aristotle University of Thessaloniki
Research Interests: Potential Theory and Complex Analysis
Stamatis Pouliasis received his Ph.D. in Mathematics from the Aristotle University of Thessaloniki, Greece in 2011. Since 2012 he has been working as a postdoctoral fellow in different universities across multiple continents. His main interests are in complex analysis and potential theory; in particular, capacity, harmonic measure, conformal and quasiconformal mappings, symmetrization, spaces of analytic functions. He started at Texas Tech University January 2018 working as postdoctoral fellow in the Department of Mathematics and Statistics.
Dr. Svetlozar Rachev
Ph.D. 1979 Lomonozov University, Moscow
Research Interests: Finance, Econometrics, Probability, Statistics, and Actuarial Sciences
Dr. Zari Rachev joined the department as a Visiting Professor in Spring 2017, and as a Full Professor with Tenure Fall 2017. Prior to coming to Texas Tech he was the Co-Director of the Quantitative Finance Program at Stony Brook University. He received his Ph.D. in mathematics from Lomonosov University, Moscow, Faculty of Mechanics and Mathematics, October 12, 1979. Dr. Rachev studies Quantitative Finance, Econometrics, Probability, Statistics, and Actuarial Sciences. As of February 2018, Dr. Rachev's Google Scholar Profile shows 13,759 citations, and an h-index of 56.
Dr. Lawrence Schovanec
Ph.D. 1982 Indiana University
Research Interests: Solid Mechanics, Boundary Value Problems, Differential and Integral Equations
Lawrence Schovanec joined the faculty of Texas Tech University
in 1982. He received a B.S. degree from Phillips
University, a M.S. degree from Texas A&M University, and his
Ph.D. from Indiana University. He has been a professor of mathematics
since 1996 and he served as chair of the Department of Mathematics and Statistics from 1999 to 2008.
His early research dealt
mainly with solid mechanics with an emphasis on dynamic fracture of
elastic and viscoelastic materials. More recently his work has dealt
with control theoretic aspects of biological systems and hybrid
parameter models of biomechanical systems.
In 2008 he was appointed as the Interim Dean of the College of Arts and Sciences and
in 2010 as the Dean. In 2012, he was appointed as the Interim President of Texas Tech University. In 2013, he served as Interim Provost. He is currently serving as President of the University.
Dr. Alexander Solynin
Ph.D. 1985 Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine
Research Interests: Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations
Alexander Solynin received his Diplom (with honors) in Mathematics in 1980 from the Kuban State University, Krasnodar, Russia and his Ph.D. in 1985 from the Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine, Donetsk. From 1983 to 1989, he was an assistant professor of mathematics and from 1989 to 1990, an associate professor at the Kuban State University in Krasnodar, Russia. In 1990, Dr. Solynin joined the Steklov Institute of Mathematics at St. Petersburg, Russia, where he was a senior research fellow from 1993 to 2004. He came to Texas Tech University in Fall 2004 as an associate professor.
Dr. Jingyong Su
Ph.D. 2013 Florida State University
Research Interests: Statistical Shape and Trajectory Analysis, Medical Imaging, Computational Statistics
Jingyong Su joined the department as an assistant professor in the fall of 2013. Prior to this, he completed a Ph.D. in statistics at the Florida State University in the summer of 2013. Previously, he received a M.S. in computer science from Harbin Institute of Technology Shenzhen Graduate School in 2008 and a B.S. in electrical engineering from Harbin Institute of Technology in 2006. His current research interests include statistical trajectory analysis on manifolds with different applications, statistical shape analysis and medical imaging.
Dr. James Surles
Ph.D. 1999 University of South Carolina
Research Interests: Applied Statistics, Reliability and Survival Analysis, and Statistics
James G. Surles received B.S. degrees in Mathematics and Computer Science from McNeese State University in 1995 and an M.S. and Ph.D. in Statistics from the University of South Carolina in 1997 and 1999, respectively.
Dr. Surles came to Texas Tech University in 1999, where he is currently an Assistant Professor. His main research interests are Reliability and the Exponentiated Weibull and Burr type X lifetime models, but he also enjoys working with researchers from around Texas Tech on a variety of research projects.
Dr. Magdalena Toda
Ph.D. 2000 University of Kansas
Research Interests: Geometry, Integrable Systems, Mathematical Physics, and Non-Linear Partial Differential Equations
Magdalena Toda came to the Texas Tech University in 2001 as an Assistant Professor. Her main research interests are in differential geometry and related integrable systems. She is especially interested in geometric solutions of partial differential equations, in particular non-linear PDEs which arise from integrable systems. Fluid flows, studied from a geometric view point, represent one of her research interests since 2004. Appointed to Departmental Chair as of March 1, 2016.
Dr. Hung Tran
Ph.D. 2014 Cornell University
Research Interests: Differential Geometry, Minimal Surfaces, Einstein Structures, 4-D Manifolds, Ricci flow, Harnack inequalities, and Applications of Geometry in Math Bio and Data Science
From a small village in Vietnam, Hung Tran obtained his bachelor degree from Berea College in Kentucky and in 2014 received his PhD degree in mathematics from Cornell University. He was a visiting assistant professor at the University of California at Irvine before joining Texas Tech University in 2017. His research lies at the interface of geometry and analysis with potential applications to mathematical physics, math bio, and data science. In other words, he utilizes analytical techniques (aka PDE) to investigate geometric equilibrium configurations. His recent work focuses on generalized Willmore and minimal surfaces , Einstein structures, and spectral analysis.
Dr. Alex Trindade
Ph.D. 2000 Colorado State University
Research Interests: Statistics
A. Alexandre Trindade earned a B.S. in Mathematics from the University
of Southampton (U.K.) in 1988. He left Europe shortly thereafter to
pursue graduate studies in the U.S., completing an M.A. in Mathematics
at the University of Oklahoma in 1992. He worked as a programmer for
the IBM Corporation in Dallas (Texas) for two years, before returning
to graduate school in 1995. In 2000 he received a Ph.D. in Statistics
from Colorado State University.
From 2000 to 2007, Dr. Trindade was an assistant professor in the
Department of Statistics at the University of Florida. He joined Texas
Tech's Department of Mathematics and Statistics in Fall 2007. His
main research interests include: time series; multivariate volatility
modeling; state-space models and longitudinal data; saddle point-based
bootstrap methodology and applications; asymptotic theory and
higher-order approximations.
His work on saddle point-based bootstrap has been funded by the
National Security Agency. Dr. Trindade has extensive consulting
experience; in 2003-04 he was the primary statistical consultant on a
reliability project with The Boeing Company funded by DARPA, and in
2005 was contracted by Encision, Inc., for a reliability study on
medical devices.
Dr. Dimitri Volchenkov
Ph.D. 1996 Saint Petersburg State University (Russia)
Research Interests: Applied Mathematics, Data Analysis
In 2007 in Marseille, France, Dr. Volchenkov was awarded l'Habilitation à diriger des recherches at the Centre de Physique Théorique, and habilitated at the University of Bielefeld in Germany in 2010. He is an applied mathematician working in the field of data analysis, stochastic non-linear dynamics, complexity and uncertainty in real-world systems. His interdisciplinary research agenda ranges from plasma turbulence and tsunami waves, to the distribution of urban poverty, human behavior and communication patterns, models of political and biological evolution, and decision making under uncertainty.
Dr. Alex Wang
Ph.D. 1989 Arizona State University
Research Interests: System and Control Theory
Alex Wang received his B.S. and M.S. from Northwest Telecommunication Engineering Inst. (China) in 1982 and 1984, resp. He received his Ph.D. from Arizona State University in 1989. He came to Texas Tech as an visiting assistant professor in 1989 and, in 2004, he was appointed as a professor.
Dr. Chunmei Wang
Ph.D. 2014 Nanjing Normal University
Research Interests: Applied Mathematics, Differential Equations, Computational Mathematics
Dr. Wangs research interests fall under the broad heading of numerical methods and scientific computing for problems in science and engineering governed by partial differential equations. Her research is interdisciplinary and addresses modeling and computation of applied problems in science and engineering. She has devised new finite element methods and established the corresponding convergence analysis for (1) linear hyperbolic equations, (2) elliptic Cauchy problems, (3) second order elliptic equations in nondivergence form, (4) Maxwell's equation, (5) linear elasticity and elastic interface problems, (6) div-curl systems, and (7) biharmonic equations.
Dr. David Weinberg
Ph.D. 1980 University of Wisconsin, Madison
Research Interests: Algebraic Geometry
David Weinberg received his Bachelor's Degree from the University of Chicago in 1974 and his Ph.D. from the University of Wisconsin, Madison, in 1980. He came to Texas Tech in 1980 and was promoted to Associate Professor in 1986. He held appointments at the Mathematical Sciences Research Institute in Berkeley, CA in 1987, 1988, 1989, and 2004.
His original research area was Fourier Analysis, but since the late 1980's his research areas have been Real Algebraic Geometry and Singularities of Plane Algebraic Curves.
Dr. Brock Williams
Ph.D. 1999 University of Tennessee, Knoxville
Research Interests: Analysis, Complex Analysis, Geometry, and Outreach Programs
Brock Williams came to Texas Tech in 1999 after earning a Ph.D. from the University of Tennessee and a B.S. from Mississippi State University.
Dr. Williams primary research interests are discrete conformal geometry and geometric function theory. In particular, he especially interested in the application of circle packing techniques to Riemann surfaces and quasiconformal maps. He is also involved in several funded projects involving STEM outreach and teacher preparation.
Dr. Kazuo Yamazaki
Ph.D. 2014 Oklahoma State University
Research Interests: Research Interests: Fluid PDE, Harmonic Analysis, Stochastic Analysis, Mathematical Biology
Dr. Yamazaki received a Ph.D. from Oklahoma State University in 2014. Prior to coming to TTU, he was a post-doc at Washington State University and the University of Rochester. His research consists of applications of harmonic and stochastic analysis tools to partial differential equations of fluid mechanics (e.g. Navier-Stokes equations) and infectious diseases (e.g. cholera).
Dr. Fangyuan Zhang
Ph.D. 2015 Ohio State University
Research Interests: Statistical Genetics and Epigenetics
Fangyuan Zhang joined the department as an assistant Professor in the fall of 2015. Prior to this, she received a B.S. degree in statistics at Beijing Normal University in China. In 2015, she received a PhD in Biostatistics from the Department of Statistics at The Ohio State University. Fangyuan Zhangs research interests are in statistical genetics and epigenetics. Her current research projects include developing parametric and nonparametric statistical methods to detect genomic imprinting and maternal effects under different study designs, and testing for association in a heterogeneous sample and its application to tumor clustering.
Dr. Wenjing Zhang
Ph.D. 2014 University of Western Ontario
Research Interests: Biomath, Applied Mathematics
Wenjing Zhang investigates disease dynamics, including recurrence and multiple stability, in parameter space through bifurcation theory, geometric singular perturbation theory and scientific computation. Her paper Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models was published in SIGEST section in SIAM Review in 2014.
All Research Areas
Dr. Linda J S Allen
Ph.D. 1981 University of Tennessee
Research Interests: Applied Mathematics, Mathematical Biology, Ordinary Differential Equations, and Stochastic Processes
Linda J. S. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral, and immune-system dynamics. The models may involve difference equations, ordinary differential equations, discrete-time or continuous-time Markov chains, branching processes, or stochastic differential equations. She is the author of two books: An Introduction to Stochastic Processes with Applications to Biology and An Introduction to Mathematical Biology.
Dr. Eugenio Aulisa
Ph.D. 2005 University of Bologna
Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations
Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007.
His primary research interests are in Computational fluid mechanics,
including modeling and simulation of multiphase flows and fluid-structure interaction problems,
non-linear analysis of fluid flow filtration in porous media, and
multigrid solvers with domain decomposition methods.
Dr. Harold Bennett
Ph.D. 1968 Arizona State University
Research Interests: Topology, Logic, and Set Theory
Harold R. Bennett received his B.S. from Idaho State University in 1963 and his M.A. and Ph.D. from Arizona State University in 1965 and 1968, resp. He came to Texas Tech as an assistant professor in 1968 and, in 1980, he was appointed as a professor.
Dr. Giorgio Bornia
Ph.D. 2012 University of Bologna
Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics; Applied Mathematics; Differential Equations; Mathematical Physics
Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013.
His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.
Dr. Lars Christensen
Ph.D. 1999 University of Copenhagen
Research Interests: Algebra
Lars Winther Christensen graduated from the University of Copenhagen in 1995 and obtained his Ph.D. from the same institution in 1999. After this he worked with telecommunications and crypto software development. In 2004 Lars went to University of Nebraska as visiting professor, and in 2007 he joined Texas Tech University.
Lars' research is in algebra; his interests focus an applications of homological and homotopical algebra to ring theory. Lars is the author of a monograph on Gorenstein homological dimensions and currently writing another book on derived category methods in commutative algebra.
Dr. Jay Conover
Ph.D. 1964 Catholic University of America, Washington D.C.
Research Interests: Statistics
Before getting his Ph.D. in mathematical statistics at Catholic University in Washington D. C., 1964, Dr. Conover taught as a TA at Iowa State University, and as an Instructor at the U.S. Naval Academy in Annapolis Maryland. His first tenure track position was at Kansas State University, where he taught in the Statistics Department for 9 ½ years before joining the Texas Tech Department of Mathematics and Statistics in 1973. His research interests are in applied statistics, and especially in nonparametric methods. He is a Highly Cited Researcher according to ISI, with over 30,000 citations to his books and papers. He has consulted with various pharmaceutical companies, and has done extensive consulting with several national laboratories including especially Los Alamos, Sandia in Albuquerque, Hanford Lab in Richland Washington, and Oak Ridge Lab in Tennessee. He has held visiting positions at the University of California at Davis, and the University of Zurich in Switzerland. He is listed in Whos Who in America, and Whos Who in the World.
Dr. Lance Drager
Ph.D. 1978 Brandeis University
Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and
received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership
at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor
in 1983, and became Associate Professor in 1990.
His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two
coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.
Dr. Leif Ellingson
Ph.D. 2011 Florida State University
Research Interests: Statistics and Geometric Shape Analysis
Leif Ellingson joined the department as an assistant professor in the fall of 2011. Prior to this, he completed a Ph.D. in statistics at Florida State University in the summer of 2011 and an M.S. from the same institution in 2009. Previously, he received a B.S. in mathematics from the University of Maryland in 2007.
Dr. Ellingsons dissertation research was in shape analysis with a focus on computationally efficient nonparametric methodology in application to the study of planar contours and structural proteomics. In addition to expanding upon those projects, his current research interests include statistics on manifolds and sample spaces with manifold stratification, as well as statistical applications in bioinformatics and computational biology.
Dr. Razvan Gelca
Ph.D. 1997 University of Iowa
Research Interests: Topology
Razvan Gelca received his Bachelor's Degree at University of Timisoara and his Masters Degree at University of Bucharest. After working for one year at the Institute of Mathematics of the Romanian Academy, he went for doctoral studies at University of Iowa. After graduation he had a three year postdoc at University of Michigan and then came to Texas Tech University.
Dr. Bijoy Ghosh
Ph.D. 1983 Harvard University
Research Interests: Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology
Bijoy K. Ghosh received the B.Tech. and M.Tech. degrees in Electrical and Electronics Engineering from BITS, Pilani, and the Indian Institute of Technology, Kanpur, India, and the Ph.D. degree in Applied Mathematics from the Decision and Control Group of the Division of Applied Sciences, Harvard University, Cambridge, MA, in 1977, 1979, and 1983, respectively. From 1983 to 2006, he has been a faculty member in the Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, as a professor, and directed the center for BioCybernetics and Intelligent Systems. Presently he is a Dick and Martha Brooks Endowed Professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, TX.
Bijoy received the American Automatic Control Council's Donald Eckman Award in 1988 in recognition of his outstanding contributions in the field of Automatic Control. He received the United Nations Development Program Consultancy in India under the TOKTEN program in 1993, the Japan Society for the Promotion of Science invitation fellowship for research in Japan in 1997. In the year 2000, he became a Fellow of the Institute of Electronics and Electrical Engineering for fundamental contributions to System Theory with applications to robust control, vision and multi sensor fusion.
Bijoy is a member of the editorial board of The IEEE Transactions on Computational Biology and Bioinformatics. He has held visiting academic positions at the Yale University, USA; Universita di Padova, Italy; Institut Mittag-Leffler and Royal Institute of Technology, Sweden; Tokyo Institute of Technology and Osaka University, Japan. He is a permanent visiting professor at the Tokyo Denki University, Saitama, Japan and Technical University of Munich, Germany.
Dr. Anthony Gruber
Ph.D. 2019 Texas Tech University
Research Interests: Differential Geometry, Discrete/Computational Geometry, applications to Physics, Biology and Data Science
Dr. Anthony Gruber received his Ph.D. in Mathematics from Texas Tech University in 2019. Before coming to Texas Tech Costa Rica, he was an NSF MSGI fellow at Oak Ridge National Laboratory in Oak Ridge, TN, where he helped develop a non-linear method for dimension-reduction in data-scientific applications. More recently, he has been interested in questions regarding the properties of Willmore surfaces and their generalizations, applying techniques from modern variational calculus and integrability theory to study their defining equations, and using ideas from conformal geometry to develop computational models for their geometric flows
Dr. Wei Guo
Ph.D. 2014 University of Houston
Research Interests: Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations
Wei Guo received his Ph.D. degree in applied mathematics from the University of Houston in 2014. He was a visiting assistant professor at Michigan State University before joining Texas Tech University. His research involves developing and analyzing efficient and high order accurate numerical algorithms and their applications to various fields, such as fluid dynamics and plasma physics. His recent work focuses on high order semi-Lagrangian methods for transport problems and high order sparse grid schemes for high-dimensional partial differential equations.
Dr. Alastair Hamilton
Ph.D. 2005 Bristol University
Research Interests: Algebra, Geometry, Mathematical Physics, and Topology
Alastair Hamilton joined the mathematics department in the fall of 2010. Prior to this, he spent three years at the University of Connecticut as a postdoctoral fellow and a year at the Max Planck Institut fur Mathematic in Bonn, Germany. He received his Ph.D. from the University of Bristol in 2005 and his master's degree from the same institution in 2002. His research interests lie in algebra and topology. His research explores the connections between these areas and parts of mathematical physics, such as quantum field theory.
Dr. Raegan Higgins
Ph.D. 2008 University of Nebraska-Lincoln
Research Interests: Applied Mathematics, Dynamic Equations, Ordinary Differential Equations, Time Scales, and Outreach Programs
Raegan Higgins research is in time scales; her interests focus on oscillation criteria for certain linear and nonlinear second order dynamic equations. She is also interested in applications of time scales to biology, economics, engineering, and statistics. Additionally, Dr. Higgins is involved in funded projects focused on STEM outreach with an emphasis in increasing minorities in STEM. She received her Bachelors Degree in Mathematics from Xavier University of Louisiana in 2002 and her Doctorate in Mathematics from the University of Nebraska-Lincoln in 2008.
Dr. Luan Hoang
Ph.D. 2005 Texas A&M University
Research Interests: Partial Differential Equations
Luan T Hoang received his Bachelor's degrees in Mathematics and in Information Technology from National University, Hochiminh city, Vietnam, in 1997. He received his Master's degree from Arizona State University in 2000, and Ph.D. degree from Texas A&M University in 2005. His research interests are partial differential equations, dynamical systems and fluid dynamics.
Dr. Victoria Howle
Ph.D. 2001 Cornell University
Research Interests: Applied Mathematics, Computational Mathematics, Numerical Analysis
Victoria Howle's research is in applied mathematics with a focus mainly on numerical linear algebra. Her main research interests have been in physics-based preconditioning for incompressible fluid flow problems, developing iterative methods and preconditioners for the solution of highly ill-conditioned systems that arise in faulted electrical power networks, and fault-tolerant linear algebra.
Dr. Akif Ibraguimov
Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow
Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics.
Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Sophia Jang
Ph.D. 1990 Texas Tech University
Research Interests: Applied Mathematics and Mathematical Biology
Sophia R.-J. Jang received her Ph.D. in 1990 from Texas Tech University. She joined Texas Tech as an associate professor in Fall of 2008. Before returning to Tech, she was a faculty member at the University of Louisiana at Lafayette. Her main research activities are in mathematical biology and applied mathematics.
Dr. Lourdes Juan
Ph.D. 2000 University of Oklahom
Research Interests: Computer Algebra, Differential Algebra, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization
Lourdes Juan received an undergraduate degree with honors (Titulo de Oro) in Mathematics from the University of Havana in 1991. From 1991-1995 she worked first as a trainee and then as a research resident in the department of Artificial Intelligence and Pattern Recognition of the Cuban Academy of Sciences. In 1995 she was granted the first student visa that the US government gave in Cuba since the 1960's to pursue doctoral studies at the University of Oklahoma. She graduated with a PhD in Mathematics in 2000 under the direction of Professor Andy Magid. She was a Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley during 2000-2001, and joined the Math Department of Texas Tech in the Fall of 2001 as an assistant professor. She is currently an associate professor with tenure.
Her research interests include the Galois Theory of differential and difference equations, algebraic groups and computer algebra.
Dr. Arne Ledet
Ph.D. 1996 University of Copenhagen
Research Interests: Algebra
Arne Ledet graduated from University of Copenhagen (Denmark) in 1992, and obtained his Ph.D. from the same institution in 1996. His subsequent postdoctoral employment included stays at Queen's University (Canada), MSRI (USA), Tokyo Metropolitan University (Japan), and University of Waterloo (Canada), before he came to Texas Tech in 2002 as Assistant Professor. His graduate and postgraduate work was in Galois theoretical embedding problems. Currently, his research is concerned with the related problem of constructing generic polynomials for Galois extensions. He is the co-author of a book on this subject, "Generic Polynomials" (with C. U. Jensen and N. Yui), published in 2002.
Dr. Jeffrey M Lee
Ph.D. 1987 University of California, Los Angeles
Research Interests: Differential Geometry, Geometric Analysis
Jeffrey M. Lee received his B.S. from Brigham Young University in 1982 and his M.A. and Ph.D. from University of California (Los Angeles) in 1984 and 1987, resp. He came to Texas Tech as an assistant professor in 1990 and, in 1996, he was appointed as an associate professor.
Dr. Wayne Lewis
Ph.D. 1977 University of Texas at Austin
Research Interests: Continuum Theory, Geometric Topology, and Topological Dynamics
Wayne Lewis received his Ph.D. from the University of Texas at Austin in 1977. He has been on the faculty of the Department of Mathematics at Texas Tech University since 1977 and Professor of Mathematics since 1989.
Dr. Lewis has research interests in continuum theory and in its relations to geometric topology and to topological dynamics. He has extensive results on hereditarily indecomposable continua, especially their structure, characterizations and mapping properties. He has given numerous short courses and workshops related to the subject.
Dr. W. Brent Lindquist
Ph.D. 1981 Cornell University
Research Interests: Oil Extraction is Matter of Mathematics, Physics, and Applied Math
Dr Lindquist is the Dean of the College of Arts and Sciences and an applied mathematician. His interests have included numerical methods for PDEs; flow in porous media; automated 3D image analysis for porous media, neuron, and fiber analyses; Riemann problems in 2D; hierarchy formation in social animal groups; and numerical solution of Feynman diagrams. He is a co-recipient of the Lee Segal prize from the Society of Mathematical Biology
Dr. Katharine Long
Ph.D. 1991 Princeton
Research Interests: Applied Mathematics, Computational Mathematics, and Numerical Analysis
Dr. Long's research is in scientific computing: ranging from work on developing efficient mathematical algorithms for large scale simulation and optimization, to the design of advanced software architectures for high-performance simulation, to application of computational simulation to problems in physics, engineering, biology, and national defense.
Dr. Long joined Texas Tech in 2007 after nine years in the computational mathematics research department at Sandia National Laboratories in Livermore, California. Previously, she worked in industry at Beam Technologies, was on the physics faculty at the State University of New York at Brockport, and was a postdoctoral researcher at the University of Massachusetts. Her undergraduate degree is in astronomy from the University of Maryland. Her graduate study was at Princeton University where she received a PhD in theoretical astrophysics in 1991.
Dr. Dermot McCarthy
Ph.D. 2010 University College Dublin
Research Interests: Number Theory and Special Functions
Dermot McCarthy joined the department in the fall of 2013. Prior to this, he spent three years in a visiting position at Texas A&M University. Dr. McCarthy received his Ph.D. in Mathematics from University College Dublin, Ireland, in 2010. His dissertation research was in the ways of the force and was completed under the direction of Mace Windu. His current research interests lie in number theory and special functions with particular focus on automorphic forms, hypergeometric functions and properties of algebraic varieties.
Dr. Chris Monico
Ph.D. 2002 University of Notre Dame
Research Interests: Algebra and Cryptography
Chris Monico received a B.S. in mathematics from Monmouth University, and the degrees of M.S. and Ph.D. from the University of Notre Dame. For the academic year 2002 Chris was a postdoctoral researcher at Notre Dame, before coming to Texas Tech in 2003. Dr. Monico's research has been primarily concerned with cryptology and certain computational algebra and number theoretic problems.
Dr. Dmitri Pavlov
Ph.D. 2011 University of California, Berkeley
Research Interests: Homotopy Theory, Higher Differential Geometry, D-modules and Mixed Hodge Modules, Factorization Algebras, Functorial Quantum Field Theory, Tomita—Takesaki Theory
Dmitri Pavlov joined the department as an assistant professor in 2017.
His research explores connections between quantum field theory, homotopy theory and higher category theory, and differential and algebraic geometry.
It includes areas such as model categories and abstract homotopy theory, differential, equivariant, and twisted cohomology theories, motivic homotopy theory, D-modules and mixed Hodge modules, factorization algebras, functorial field theory, and Tomita—Takesaki theory.
Dr. Angela Peace
Ph.D. 2014 Arizona State University
Research Interests: Mathematical Biology
Angela Peace received her PhD in Applied Mathematics from the School of Mathematical and Statistical Sciences, Arizona State University in 2014. Prior to coming to TTU, she was a postdoctoral fellow at the National Institute of Mathematical and Statistical Sciences in Knoxville, Tennessee. Her research in Mathematical Biology provides quantitative and qualitative improvements in the predictive power of theoretical and computational population ecology. She uses dynamical systems theory and tools to develop, analyze, and interpret mathematical models of biological systems, spanning the fields of ecology, toxicology, and epidemiology.
Dr. Stamatis Pouliasis
Ph.D. 2011 Aristotle University of Thessaloniki
Research Interests: Potential Theory and Complex Analysis
Stamatis Pouliasis received his Ph.D. in Mathematics from the Aristotle University of Thessaloniki, Greece in 2011. Since 2012 he has been working as a postdoctoral fellow in different universities across multiple continents. His main interests are in complex analysis and potential theory; in particular, capacity, harmonic measure, conformal and quasiconformal mappings, symmetrization, spaces of analytic functions. He started at Texas Tech University January 2018 working as postdoctoral fellow in the Department of Mathematics and Statistics.
Dr. Svetlozar Rachev
Ph.D. 1979 Lomonozov University, Moscow
Research Interests: Finance, Econometrics, Probability, Statistics, and Actuarial Sciences
Dr. Zari Rachev joined the department as a Visiting Professor in Spring 2017, and as a Full Professor with Tenure Fall 2017. Prior to coming to Texas Tech he was the Co-Director of the Quantitative Finance Program at Stony Brook University. He received his Ph.D. in mathematics from Lomonosov University, Moscow, Faculty of Mechanics and Mathematics, October 12, 1979. Dr. Rachev studies Quantitative Finance, Econometrics, Probability, Statistics, and Actuarial Sciences. As of February 2018, Dr. Rachev's Google Scholar Profile shows 13,759 citations, and an h-index of 56.
Dr. Lawrence Schovanec
Ph.D. 1982 Indiana University
Research Interests: Solid Mechanics, Boundary Value Problems, Differential and Integral Equations
Lawrence Schovanec joined the faculty of Texas Tech University
in 1982. He received a B.S. degree from Phillips
University, a M.S. degree from Texas A&M University, and his
Ph.D. from Indiana University. He has been a professor of mathematics
since 1996 and he served as chair of the Department of Mathematics and Statistics from 1999 to 2008.
His early research dealt
mainly with solid mechanics with an emphasis on dynamic fracture of
elastic and viscoelastic materials. More recently his work has dealt
with control theoretic aspects of biological systems and hybrid
parameter models of biomechanical systems.
In 2008 he was appointed as the Interim Dean of the College of Arts and Sciences and
in 2010 as the Dean. In 2012, he was appointed as the Interim President of Texas Tech University. In 2013, he served as Interim Provost. He is currently serving as President of the University.
Dr. Alexander Solynin
Ph.D. 1985 Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine
Research Interests: Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations
Alexander Solynin received his Diplom (with honors) in Mathematics in 1980 from the Kuban State University, Krasnodar, Russia and his Ph.D. in 1985 from the Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine, Donetsk. From 1983 to 1989, he was an assistant professor of mathematics and from 1989 to 1990, an associate professor at the Kuban State University in Krasnodar, Russia. In 1990, Dr. Solynin joined the Steklov Institute of Mathematics at St. Petersburg, Russia, where he was a senior research fellow from 1993 to 2004. He came to Texas Tech University in Fall 2004 as an associate professor.
Dr. Jingyong Su
Ph.D. 2013 Florida State University
Research Interests: Statistical Shape and Trajectory Analysis, Medical Imaging, Computational Statistics
Jingyong Su joined the department as an assistant professor in the fall of 2013. Prior to this, he completed a Ph.D. in statistics at the Florida State University in the summer of 2013. Previously, he received a M.S. in computer science from Harbin Institute of Technology Shenzhen Graduate School in 2008 and a B.S. in electrical engineering from Harbin Institute of Technology in 2006. His current research interests include statistical trajectory analysis on manifolds with different applications, statistical shape analysis and medical imaging.
Dr. James Surles
Ph.D. 1999 University of South Carolina
Research Interests: Applied Statistics, Reliability and Survival Analysis, and Statistics
James G. Surles received B.S. degrees in Mathematics and Computer Science from McNeese State University in 1995 and an M.S. and Ph.D. in Statistics from the University of South Carolina in 1997 and 1999, respectively.
Dr. Surles came to Texas Tech University in 1999, where he is currently an Assistant Professor. His main research interests are Reliability and the Exponentiated Weibull and Burr type X lifetime models, but he also enjoys working with researchers from around Texas Tech on a variety of research projects.
Dr. Magdalena Toda
Ph.D. 2000 University of Kansas
Research Interests: Geometry, Integrable Systems, Mathematical Physics, and Non-Linear Partial Differential Equations
Magdalena Toda came to the Texas Tech University in 2001 as an Assistant Professor. Her main research interests are in differential geometry and related integrable systems. She is especially interested in geometric solutions of partial differential equations, in particular non-linear PDEs which arise from integrable systems. Fluid flows, studied from a geometric view point, represent one of her research interests since 2004. Appointed to Departmental Chair as of March 1, 2016.
Dr. Hung Tran
Ph.D. 2014 Cornell University
Research Interests: Differential Geometry, Minimal Surfaces, Einstein Structures, 4-D Manifolds, Ricci flow, Harnack inequalities, and Applications of Geometry in Math Bio and Data Science
From a small village in Vietnam, Hung Tran obtained his bachelor degree from Berea College in Kentucky and in 2014 received his PhD degree in mathematics from Cornell University. He was a visiting assistant professor at the University of California at Irvine before joining Texas Tech University in 2017. His research lies at the interface of geometry and analysis with potential applications to mathematical physics, math bio, and data science. In other words, he utilizes analytical techniques (aka PDE) to investigate geometric equilibrium configurations. His recent work focuses on generalized Willmore and minimal surfaces , Einstein structures, and spectral analysis.
Dr. Alex Trindade
Ph.D. 2000 Colorado State University
Research Interests: Statistics
A. Alexandre Trindade earned a B.S. in Mathematics from the University
of Southampton (U.K.) in 1988. He left Europe shortly thereafter to
pursue graduate studies in the U.S., completing an M.A. in Mathematics
at the University of Oklahoma in 1992. He worked as a programmer for
the IBM Corporation in Dallas (Texas) for two years, before returning
to graduate school in 1995. In 2000 he received a Ph.D. in Statistics
from Colorado State University.
From 2000 to 2007, Dr. Trindade was an assistant professor in the
Department of Statistics at the University of Florida. He joined Texas
Tech's Department of Mathematics and Statistics in Fall 2007. His
main research interests include: time series; multivariate volatility
modeling; state-space models and longitudinal data; saddle point-based
bootstrap methodology and applications; asymptotic theory and
higher-order approximations.
His work on saddle point-based bootstrap has been funded by the
National Security Agency. Dr. Trindade has extensive consulting
experience; in 2003-04 he was the primary statistical consultant on a
reliability project with The Boeing Company funded by DARPA, and in
2005 was contracted by Encision, Inc., for a reliability study on
medical devices.
Dr. Dimitri Volchenkov
Ph.D. 1996 Saint Petersburg State University (Russia)
Research Interests: Applied Mathematics, Data Analysis
In 2007 in Marseille, France, Dr. Volchenkov was awarded l'Habilitation à diriger des recherches at the Centre de Physique Théorique, and habilitated at the University of Bielefeld in Germany in 2010. He is an applied mathematician working in the field of data analysis, stochastic non-linear dynamics, complexity and uncertainty in real-world systems. His interdisciplinary research agenda ranges from plasma turbulence and tsunami waves, to the distribution of urban poverty, human behavior and communication patterns, models of political and biological evolution, and decision making under uncertainty.
Dr. Alex Wang
Ph.D. 1989 Arizona State University
Research Interests: System and Control Theory
Alex Wang received his B.S. and M.S. from Northwest Telecommunication Engineering Inst. (China) in 1982 and 1984, resp. He received his Ph.D. from Arizona State University in 1989. He came to Texas Tech as an visiting assistant professor in 1989 and, in 2004, he was appointed as a professor.
Dr. Chunmei Wang
Ph.D. 2014 Nanjing Normal University
Research Interests: Applied Mathematics, Differential Equations, Computational Mathematics
Dr. Wangs research interests fall under the broad heading of numerical methods and scientific computing for problems in science and engineering governed by partial differential equations. Her research is interdisciplinary and addresses modeling and computation of applied problems in science and engineering. She has devised new finite element methods and established the corresponding convergence analysis for (1) linear hyperbolic equations, (2) elliptic Cauchy problems, (3) second order elliptic equations in nondivergence form, (4) Maxwell's equation, (5) linear elasticity and elastic interface problems, (6) div-curl systems, and (7) biharmonic equations.
Dr. David Weinberg
Ph.D. 1980 University of Wisconsin, Madison
Research Interests: Algebraic Geometry
David Weinberg received his Bachelor's Degree from the University of Chicago in 1974 and his Ph.D. from the University of Wisconsin, Madison, in 1980. He came to Texas Tech in 1980 and was promoted to Associate Professor in 1986. He held appointments at the Mathematical Sciences Research Institute in Berkeley, CA in 1987, 1988, 1989, and 2004.
His original research area was Fourier Analysis, but since the late 1980's his research areas have been Real Algebraic Geometry and Singularities of Plane Algebraic Curves.
Dr. Brock Williams
Ph.D. 1999 University of Tennessee, Knoxville
Research Interests: Analysis, Complex Analysis, Geometry, and Outreach Programs
Brock Williams came to Texas Tech in 1999 after earning a Ph.D. from the University of Tennessee and a B.S. from Mississippi State University.
Dr. Williams primary research interests are discrete conformal geometry and geometric function theory. In particular, he especially interested in the application of circle packing techniques to Riemann surfaces and quasiconformal maps. He is also involved in several funded projects involving STEM outreach and teacher preparation.
Dr. Kazuo Yamazaki
Ph.D. 2014 Oklahoma State University
Research Interests: Research Interests: Fluid PDE, Harmonic Analysis, Stochastic Analysis, Mathematical Biology
Dr. Yamazaki received a Ph.D. from Oklahoma State University in 2014. Prior to coming to TTU, he was a post-doc at Washington State University and the University of Rochester. His research consists of applications of harmonic and stochastic analysis tools to partial differential equations of fluid mechanics (e.g. Navier-Stokes equations) and infectious diseases (e.g. cholera).
Dr. Fangyuan Zhang
Ph.D. 2015 Ohio State University
Research Interests: Statistical Genetics and Epigenetics
Fangyuan Zhang joined the department as an assistant Professor in the fall of 2015. Prior to this, she received a B.S. degree in statistics at Beijing Normal University in China. In 2015, she received a PhD in Biostatistics from the Department of Statistics at The Ohio State University. Fangyuan Zhangs research interests are in statistical genetics and epigenetics. Her current research projects include developing parametric and nonparametric statistical methods to detect genomic imprinting and maternal effects under different study designs, and testing for association in a heterogeneous sample and its application to tumor clustering.
Dr. Wenjing Zhang
Ph.D. 2014 University of Western Ontario
Research Interests: Biomath, Applied Mathematics
Wenjing Zhang investigates disease dynamics, including recurrence and multiple stability, in parameter space through bifurcation theory, geometric singular perturbation theory and scientific computation. Her paper Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models was published in SIGEST section in SIAM Review in 2014.
Differential Equations
Dr. Linda J S Allen
Ph.D. 1981 University of Tennessee
Research Interests: Applied Mathematics, Mathematical Biology, Ordinary Differential Equations, and Stochastic Processes
Linda J. S. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral, and immune-system dynamics. The models may involve difference equations, ordinary differential equations, discrete-time or continuous-time Markov chains, branching processes, or stochastic differential equations. She is the author of two books: An Introduction to Stochastic Processes with Applications to Biology and An Introduction to Mathematical Biology.
Dr. Eugenio Aulisa
Ph.D. 2005 University of Bologna
Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations
Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007.
His primary research interests are in Computational fluid mechanics,
including modeling and simulation of multiphase flows and fluid-structure interaction problems,
non-linear analysis of fluid flow filtration in porous media, and
multigrid solvers with domain decomposition methods.
Dr. Giorgio Bornia
Ph.D. 2012 University of Bologna
Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics; Applied Mathematics; Differential Equations; Mathematical Physics
Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013.
His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.
Dr. Lance Drager
Ph.D. 1978 Brandeis University
Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and
received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership
at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor
in 1983, and became Associate Professor in 1990.
His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two
coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.
Dr. Raegan Higgins
Ph.D. 2008 University of Nebraska-Lincoln
Research Interests: Applied Mathematics, Dynamic Equations, Ordinary Differential Equations, Time Scales, and Outreach Programs
Raegan Higgins research is in time scales; her interests focus on oscillation criteria for certain linear and nonlinear second order dynamic equations. She is also interested in applications of time scales to biology, economics, engineering, and statistics. Additionally, Dr. Higgins is involved in funded projects focused on STEM outreach with an emphasis in increasing minorities in STEM. She received her Bachelors Degree in Mathematics from Xavier University of Louisiana in 2002 and her Doctorate in Mathematics from the University of Nebraska-Lincoln in 2008.
Dr. Luan Hoang
Ph.D. 2005 Texas A&M University
Research Interests: Partial Differential Equations
Luan T Hoang received his Bachelor's degrees in Mathematics and in Information Technology from National University, Hochiminh city, Vietnam, in 1997. He received his Master's degree from Arizona State University in 2000, and Ph.D. degree from Texas A&M University in 2005. His research interests are partial differential equations, dynamical systems and fluid dynamics.
Dr. Akif Ibraguimov
Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow
Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics.
Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Toufik Khyat
Ph.D. 2017 University of Rhode Island
Research Interests: Difference Equations, Differential Equations, Bifurcation Theory, Dynamical Systems
Having received his Ph.D from the University of Rhode Island in 2017, Toufik Khyat's research interests include: Difference and Differential equations, Discrete dynamical systems, Bifurcation theory and Mathematical biology. Toufik is excited to be at Texas Tech University as a Postdoctoral teaching scholar.
Dr. Phuong Nguyen
Ph.D. 2017 Indiana University
Research Interests: Stochastic Partial Differential Equations, Fluid Dynamics and Statistics.
Phuong Nguyen's research interests are stochastic partial differential equations, fluid dynamics and statistics. She received her Master's in Mathematics at New Mexico State University in May, 2010, Master in Applied Statistics at Indiana University in Dec, 2016 and Ph.D in Math in May, 2017. Phuong Nguyen's mentor is Dr. Kazuo Yamazaki.
Dr. Lawrence Schovanec
Ph.D. 1982 Indiana University
Research Interests: Solid Mechanics, Boundary Value Problems, Differential and Integral Equations
Lawrence Schovanec joined the faculty of Texas Tech University
in 1982. He received a B.S. degree from Phillips
University, a M.S. degree from Texas A&M University, and his
Ph.D. from Indiana University. He has been a professor of mathematics
since 1996 and he served as chair of the Department of Mathematics and Statistics from 1999 to 2008.
His early research dealt
mainly with solid mechanics with an emphasis on dynamic fracture of
elastic and viscoelastic materials. More recently his work has dealt
with control theoretic aspects of biological systems and hybrid
parameter models of biomechanical systems.
In 2008 he was appointed as the Interim Dean of the College of Arts and Sciences and
in 2010 as the Dean. In 2012, he was appointed as the Interim President of Texas Tech University. In 2013, he served as Interim Provost. He is currently serving as President of the University.
Dr. Alexander Solynin
Ph.D. 1985 Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine
Research Interests: Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations
Alexander Solynin received his Diplom (with honors) in Mathematics in 1980 from the Kuban State University, Krasnodar, Russia and his Ph.D. in 1985 from the Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine, Donetsk. From 1983 to 1989, he was an assistant professor of mathematics and from 1989 to 1990, an associate professor at the Kuban State University in Krasnodar, Russia. In 1990, Dr. Solynin joined the Steklov Institute of Mathematics at St. Petersburg, Russia, where he was a senior research fellow from 1993 to 2004. He came to Texas Tech University in Fall 2004 as an associate professor.
Dr. Magdalena Toda
Ph.D. 2000 University of Kansas
Research Interests: Geometry, Integrable Systems, Mathematical Physics, and Non-Linear Partial Differential Equations
Magdalena Toda came to the Texas Tech University in 2001 as an Assistant Professor. Her main research interests are in differential geometry and related integrable systems. She is especially interested in geometric solutions of partial differential equations, in particular non-linear PDEs which arise from integrable systems. Fluid flows, studied from a geometric view point, represent one of her research interests since 2004. Appointed to Departmental Chair as of March 1, 2016.
Dr. Hung Tran
Ph.D. 2014 Cornell University
Research Interests: Differential Geometry, Minimal Surfaces, Einstein Structures, 4-D Manifolds, Ricci flow, Harnack inequalities, and Applications of Geometry in Math Bio and Data Science
From a small village in Vietnam, Hung Tran obtained his bachelor degree from Berea College in Kentucky and in 2014 received his PhD degree in mathematics from Cornell University. He was a visiting assistant professor at the University of California at Irvine before joining Texas Tech University in 2017. His research lies at the interface of geometry and analysis with potential applications to mathematical physics, math bio, and data science. In other words, he utilizes analytical techniques (aka PDE) to investigate geometric equilibrium configurations. His recent work focuses on generalized Willmore and minimal surfaces , Einstein structures, and spectral analysis.
Dr. Chunmei Wang
Ph.D. 2014 Nanjing Normal University
Research Interests: Applied Mathematics, Differential Equations, Computational Mathematics
Dr. Wangs research interests fall under the broad heading of numerical methods and scientific computing for problems in science and engineering governed by partial differential equations. Her research is interdisciplinary and addresses modeling and computation of applied problems in science and engineering. She has devised new finite element methods and established the corresponding convergence analysis for (1) linear hyperbolic equations, (2) elliptic Cauchy problems, (3) second order elliptic equations in nondivergence form, (4) Maxwell's equation, (5) linear elasticity and elastic interface problems, (6) div-curl systems, and (7) biharmonic equations.
Algebra
Dr. Lars Christensen
Ph.D. 1999 University of Copenhagen
Research Interests: Algebra
Lars Winther Christensen graduated from the University of Copenhagen in 1995 and obtained his Ph.D. from the same institution in 1999. After this he worked with telecommunications and crypto software development. In 2004 Lars went to University of Nebraska as visiting professor, and in 2007 he joined Texas Tech University.
Lars' research is in algebra; his interests focus an applications of homological and homotopical algebra to ring theory. Lars is the author of a monograph on Gorenstein homological dimensions and currently writing another book on derived category methods in commutative algebra.
Dr. Alastair Hamilton
Ph.D. 2005 Bristol University
Research Interests: Algebra, Geometry, Mathematical Physics, and Topology
Alastair Hamilton joined the mathematics department in the fall of 2010. Prior to this, he spent three years at the University of Connecticut as a postdoctoral fellow and a year at the Max Planck Institut fur Mathematic in Bonn, Germany. He received his Ph.D. from the University of Bristol in 2005 and his master's degree from the same institution in 2002. His research interests lie in algebra and topology. His research explores the connections between these areas and parts of mathematical physics, such as quantum field theory.
Dr. Lourdes Juan
Ph.D. 2000 University of Oklahom
Research Interests: Computer Algebra, Differential Algebra, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization
Lourdes Juan received an undergraduate degree with honors (Titulo de Oro) in Mathematics from the University of Havana in 1991. From 1991-1995 she worked first as a trainee and then as a research resident in the department of Artificial Intelligence and Pattern Recognition of the Cuban Academy of Sciences. In 1995 she was granted the first student visa that the US government gave in Cuba since the 1960's to pursue doctoral studies at the University of Oklahoma. She graduated with a PhD in Mathematics in 2000 under the direction of Professor Andy Magid. She was a Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley during 2000-2001, and joined the Math Department of Texas Tech in the Fall of 2001 as an assistant professor. She is currently an associate professor with tenure.
Her research interests include the Galois Theory of differential and difference equations, algebraic groups and computer algebra.
Dr. Arne Ledet
Ph.D. 1996 University of Copenhagen
Research Interests: Algebra
Arne Ledet graduated from University of Copenhagen (Denmark) in 1992, and obtained his Ph.D. from the same institution in 1996. His subsequent postdoctoral employment included stays at Queen's University (Canada), MSRI (USA), Tokyo Metropolitan University (Japan), and University of Waterloo (Canada), before he came to Texas Tech in 2002 as Assistant Professor. His graduate and postgraduate work was in Galois theoretical embedding problems. Currently, his research is concerned with the related problem of constructing generic polynomials for Galois extensions. He is the co-author of a book on this subject, "Generic Polynomials" (with C. U. Jensen and N. Yui), published in 2002.
Dr. Chris Monico
Ph.D. 2002 University of Notre Dame
Research Interests: Algebra and Cryptography
Chris Monico received a B.S. in mathematics from Monmouth University, and the degrees of M.S. and Ph.D. from the University of Notre Dame. For the academic year 2002 Chris was a postdoctoral researcher at Notre Dame, before coming to Texas Tech in 2003. Dr. Monico's research has been primarily concerned with cryptology and certain computational algebra and number theoretic problems.
Dr. Dmitri Pavlov
Ph.D. 2011 University of California, Berkeley
Research Interests: Homotopy Theory, Higher Differential Geometry, D-modules and Mixed Hodge Modules, Factorization Algebras, Functorial Quantum Field Theory, Tomita—Takesaki Theory
Dmitri Pavlov joined the department as an assistant professor in 2017.
His research explores connections between quantum field theory, homotopy theory and higher category theory, and differential and algebraic geometry.
It includes areas such as model categories and abstract homotopy theory, differential, equivariant, and twisted cohomology theories, motivic homotopy theory, D-modules and mixed Hodge modules, factorization algebras, functorial field theory, and Tomita—Takesaki theory.
Dr. David Weinberg
Ph.D. 1980 University of Wisconsin, Madison
Research Interests: Algebraic Geometry
David Weinberg received his Bachelor's Degree from the University of Chicago in 1974 and his Ph.D. from the University of Wisconsin, Madison, in 1980. He came to Texas Tech in 1980 and was promoted to Associate Professor in 1986. He held appointments at the Mathematical Sciences Research Institute in Berkeley, CA in 1987, 1988, 1989, and 2004.
His original research area was Fourier Analysis, but since the late 1980's his research areas have been Real Algebraic Geometry and Singularities of Plane Algebraic Curves.
Mathematical Biology
Dr. Linda J S Allen
Ph.D. 1981 University of Tennessee
Research Interests: Applied Mathematics, Mathematical Biology, Ordinary Differential Equations, and Stochastic Processes
Linda J. S. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral, and immune-system dynamics. The models may involve difference equations, ordinary differential equations, discrete-time or continuous-time Markov chains, branching processes, or stochastic differential equations. She is the author of two books: An Introduction to Stochastic Processes with Applications to Biology and An Introduction to Mathematical Biology.
Dr. Bijoy Ghosh
Ph.D. 1983 Harvard University
Research Interests: Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology
Bijoy K. Ghosh received the B.Tech. and M.Tech. degrees in Electrical and Electronics Engineering from BITS, Pilani, and the Indian Institute of Technology, Kanpur, India, and the Ph.D. degree in Applied Mathematics from the Decision and Control Group of the Division of Applied Sciences, Harvard University, Cambridge, MA, in 1977, 1979, and 1983, respectively. From 1983 to 2006, he has been a faculty member in the Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, as a professor, and directed the center for BioCybernetics and Intelligent Systems. Presently he is a Dick and Martha Brooks Endowed Professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, TX.
Bijoy received the American Automatic Control Council's Donald Eckman Award in 1988 in recognition of his outstanding contributions in the field of Automatic Control. He received the United Nations Development Program Consultancy in India under the TOKTEN program in 1993, the Japan Society for the Promotion of Science invitation fellowship for research in Japan in 1997. In the year 2000, he became a Fellow of the Institute of Electronics and Electrical Engineering for fundamental contributions to System Theory with applications to robust control, vision and multi sensor fusion.
Bijoy is a member of the editorial board of The IEEE Transactions on Computational Biology and Bioinformatics. He has held visiting academic positions at the Yale University, USA; Universita di Padova, Italy; Institut Mittag-Leffler and Royal Institute of Technology, Sweden; Tokyo Institute of Technology and Osaka University, Japan. He is a permanent visiting professor at the Tokyo Denki University, Saitama, Japan and Technical University of Munich, Germany.
Dr. Anthony Gruber
Ph.D. 2019 Texas Tech University
Research Interests: Differential Geometry, Discrete/Computational Geometry, applications to Physics, Biology and Data Science
Dr. Anthony Gruber received his Ph.D. in Mathematics from Texas Tech University in 2019. Before coming to Texas Tech Costa Rica, he was an NSF MSGI fellow at Oak Ridge National Laboratory in Oak Ridge, TN, where he helped develop a non-linear method for dimension-reduction in data-scientific applications. More recently, he has been interested in questions regarding the properties of Willmore surfaces and their generalizations, applying techniques from modern variational calculus and integrability theory to study their defining equations, and using ideas from conformal geometry to develop computational models for their geometric flows
Dr. Akif Ibraguimov
Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow
Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics.
Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Sophia Jang
Ph.D. 1990 Texas Tech University
Research Interests: Applied Mathematics and Mathematical Biology
Sophia R.-J. Jang received her Ph.D. in 1990 from Texas Tech University. She joined Texas Tech as an associate professor in Fall of 2008. Before returning to Tech, she was a faculty member at the University of Louisiana at Lafayette. Her main research activities are in mathematical biology and applied mathematics.
Dr. Lourdes Juan
Ph.D. 2000 University of Oklahom
Research Interests: Computer Algebra, Differential Algebra, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization
Lourdes Juan received an undergraduate degree with honors (Titulo de Oro) in Mathematics from the University of Havana in 1991. From 1991-1995 she worked first as a trainee and then as a research resident in the department of Artificial Intelligence and Pattern Recognition of the Cuban Academy of Sciences. In 1995 she was granted the first student visa that the US government gave in Cuba since the 1960's to pursue doctoral studies at the University of Oklahoma. She graduated with a PhD in Mathematics in 2000 under the direction of Professor Andy Magid. She was a Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley during 2000-2001, and joined the Math Department of Texas Tech in the Fall of 2001 as an assistant professor. She is currently an associate professor with tenure.
Her research interests include the Galois Theory of differential and difference equations, algebraic groups and computer algebra.
Dr. Josh Padgett
Ph.D. 2017 Baylor University
Research Interests: Applied Mathematics, Numerical Analysis, Mathematical Biology, Mathematical Physics
Josh Padgett received his Ph.D. in Mathematics from Baylor University in 2017. He then joined Texas Tech as a postdoctoral scholar in Fall 2017. His research involves the development, analysis, and implementation of algorithms for approximating various differential equations arising in biology, chemistry, and physics. He uses a variety of techniques from both pure, applied, and computational mathematics in order to develop novel and improved results with far-reaching applicability. In particular, his current research projects are focused on differential equations formulated on homogeneous manifolds or exhibiting stochastic, non-local, or singular influences.
Dr. Angela Peace
Ph.D. 2014 Arizona State University
Research Interests: Mathematical Biology
Angela Peace received her PhD in Applied Mathematics from the School of Mathematical and Statistical Sciences, Arizona State University in 2014. Prior to coming to TTU, she was a postdoctoral fellow at the National Institute of Mathematical and Statistical Sciences in Knoxville, Tennessee. Her research in Mathematical Biology provides quantitative and qualitative improvements in the predictive power of theoretical and computational population ecology. She uses dynamical systems theory and tools to develop, analyze, and interpret mathematical models of biological systems, spanning the fields of ecology, toxicology, and epidemiology.
Dr. Aminur Rahman
Ph.D. 2017 New Jersey Institute of Technology and Rutgers University
Research Interests: Physical and Biological Applied Mathematics, Mathematical Modeling, Dynamical Systems Theory, Bifurcation Theory.
Aminur Rahman received his PhD from the federated Mathematics department of New Jersey Institute of Technology and Rutgers University in 2017. His research involves formulating mechanistic models that agree with experiments of real world systems and analyzing them via rigorous mathematics. Currently, his focus is on modeling cancer biophysics and hydrodynamic quantum analogs. To study the models arising from these systems he uses dynamical systems theory, bifurcation theory, asymptotic analysis, and numerical methods.
Dr. Hung Tran
Ph.D. 2014 Cornell University
Research Interests: Differential Geometry, Minimal Surfaces, Einstein Structures, 4-D Manifolds, Ricci flow, Harnack inequalities, and Applications of Geometry in Math Bio and Data Science
From a small village in Vietnam, Hung Tran obtained his bachelor degree from Berea College in Kentucky and in 2014 received his PhD degree in mathematics from Cornell University. He was a visiting assistant professor at the University of California at Irvine before joining Texas Tech University in 2017. His research lies at the interface of geometry and analysis with potential applications to mathematical physics, math bio, and data science. In other words, he utilizes analytical techniques (aka PDE) to investigate geometric equilibrium configurations. His recent work focuses on generalized Willmore and minimal surfaces , Einstein structures, and spectral analysis.
Dr. Kazuo Yamazaki
Ph.D. 2014 Oklahoma State University
Research Interests: Research Interests: Fluid PDE, Harmonic Analysis, Stochastic Analysis, Mathematical Biology
Dr. Yamazaki received a Ph.D. from Oklahoma State University in 2014. Prior to coming to TTU, he was a post-doc at Washington State University and the University of Rochester. His research consists of applications of harmonic and stochastic analysis tools to partial differential equations of fluid mechanics (e.g. Navier-Stokes equations) and infectious diseases (e.g. cholera).
Dr. Wenjing Zhang
Ph.D. 2014 University of Western Ontario
Research Interests: Biomath, Applied Mathematics
Wenjing Zhang investigates disease dynamics, including recurrence and multiple stability, in parameter space through bifurcation theory, geometric singular perturbation theory and scientific computation. Her paper Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models was published in SIGEST section in SIAM Review in 2014.
Analysis
Dr. Eugenio Aulisa
Ph.D. 2005 University of Bologna
Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations
Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007.
His primary research interests are in Computational fluid mechanics,
including modeling and simulation of multiphase flows and fluid-structure interaction problems,
non-linear analysis of fluid flow filtration in porous media, and
multigrid solvers with domain decomposition methods.
Dr. Giorgio Bornia
Ph.D. 2012 University of Bologna
Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics; Applied Mathematics; Differential Equations; Mathematical Physics
Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013.
His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.
Dr. Lance Drager
Ph.D. 1978 Brandeis University
Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and
received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership
at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor
in 1983, and became Associate Professor in 1990.
His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two
coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.
Dr. Iason Efraimidis
Ph.D. 2017 Universidad Autonoma de Madrid
Research Interests: Complex Analysis, Geometric Function Theory
Iason Efraimidis received his Ph.D. in 2017 from the Universidad Autónoma de Madrid, Spain, and since then has held a postdoctoral position in Pontificia Universidad Católica de Chile. His research interests include: extremal problems for holomorphic or harmonic mappings, the Schwarzian derivative, several complex variables and some spaces of holomorphic functions.
Dr. Leif Ellingson
Ph.D. 2011 Florida State University
Research Interests: Statistics and Geometric Shape Analysis
Leif Ellingson joined the department as an assistant professor in the fall of 2011. Prior to this, he completed a Ph.D. in statistics at Florida State University in the summer of 2011 and an M.S. from the same institution in 2009. Previously, he received a B.S. in mathematics from the University of Maryland in 2007.
Dr. Ellingsons dissertation research was in shape analysis with a focus on computationally efficient nonparametric methodology in application to the study of planar contours and structural proteomics. In addition to expanding upon those projects, his current research interests include statistics on manifolds and sample spaces with manifold stratification, as well as statistical applications in bioinformatics and computational biology.
Dr. Wei Guo
Ph.D. 2014 University of Houston
Research Interests: Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations
Wei Guo received his Ph.D. degree in applied mathematics from the University of Houston in 2014. He was a visiting assistant professor at Michigan State University before joining Texas Tech University. His research involves developing and analyzing efficient and high order accurate numerical algorithms and their applications to various fields, such as fluid dynamics and plasma physics. His recent work focuses on high order semi-Lagrangian methods for transport problems and high order sparse grid schemes for high-dimensional partial differential equations.
Dr. Victoria Howle
Ph.D. 2001 Cornell University
Research Interests: Applied Mathematics, Computational Mathematics, Numerical Analysis
Victoria Howle's research is in applied mathematics with a focus mainly on numerical linear algebra. Her main research interests have been in physics-based preconditioning for incompressible fluid flow problems, developing iterative methods and preconditioners for the solution of highly ill-conditioned systems that arise in faulted electrical power networks, and fault-tolerant linear algebra.
Dr. Akif Ibraguimov
Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow
Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics.
Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Jeffrey M Lee
Ph.D. 1987 University of California, Los Angeles
Research Interests: Differential Geometry, Geometric Analysis
Jeffrey M. Lee received his B.S. from Brigham Young University in 1982 and his M.A. and Ph.D. from University of California (Los Angeles) in 1984 and 1987, resp. He came to Texas Tech as an assistant professor in 1990 and, in 1996, he was appointed as an associate professor.
Dr. Katharine Long
Ph.D. 1991 Princeton
Research Interests: Applied Mathematics, Computational Mathematics, and Numerical Analysis
Dr. Long's research is in scientific computing: ranging from work on developing efficient mathematical algorithms for large scale simulation and optimization, to the design of advanced software architectures for high-performance simulation, to application of computational simulation to problems in physics, engineering, biology, and national defense.
Dr. Long joined Texas Tech in 2007 after nine years in the computational mathematics research department at Sandia National Laboratories in Livermore, California. Previously, she worked in industry at Beam Technologies, was on the physics faculty at the State University of New York at Brockport, and was a postdoctoral researcher at the University of Massachusetts. Her undergraduate degree is in astronomy from the University of Maryland. Her graduate study was at Princeton University where she received a PhD in theoretical astrophysics in 1991.
Dr. Cezar Lupu
Ph.D. 2018 University of Pittsburgh
Research Interests: Real & Complex Analysis and Number Theory (Special Functions)
Cezar Lupu received his Ph.D. degree in pure mathematics (analysis and number theory) from the University of Pittsburgh. Currently, He is a postdoctoral scholar in the mathematics department and his research interests lie primarily in the fields of real & complex analysis and number theory (special functions). His recent research work concerns the special values of Riemann zeta and multiple zeta functions as well as properties of rectifiable curves in the Heisenberg group. Also, Cezar is the current coach of the TTU Team for the William Lowell Mathematical Competition.
Dr. Josh Padgett
Ph.D. 2017 Baylor University
Research Interests: Applied Mathematics, Numerical Analysis, Mathematical Biology, Mathematical Physics
Josh Padgett received his Ph.D. in Mathematics from Baylor University in 2017. He then joined Texas Tech as a postdoctoral scholar in Fall 2017. His research involves the development, analysis, and implementation of algorithms for approximating various differential equations arising in biology, chemistry, and physics. He uses a variety of techniques from both pure, applied, and computational mathematics in order to develop novel and improved results with far-reaching applicability. In particular, his current research projects are focused on differential equations formulated on homogeneous manifolds or exhibiting stochastic, non-local, or singular influences.
Dr. Jiho Park
Ph.D. 2013 Sogong University, Seoul
Research Interests: Financial Mathematics, Probability Distribution Theory, Numerical Analysis on Financial Mathematics
Jiho Park received a Ph.D degree in Financial Mathematics from Sogang University in 2013. He was working at Stonybrook University as a visiting scholar before coming to Texas Tech as a postdoctoral scholar Fall 2018. His research areas are probability distribution model, risk management and option pricing in Financial Mathematics. Also he is interested in numerical method on finance.
Dr. Stamatis Pouliasis
Ph.D. 2011 Aristotle University of Thessaloniki
Research Interests: Potential Theory and Complex Analysis
Stamatis Pouliasis received his Ph.D. in Mathematics from the Aristotle University of Thessaloniki, Greece in 2011. Since 2012 he has been working as a postdoctoral fellow in different universities across multiple continents. His main interests are in complex analysis and potential theory; in particular, capacity, harmonic measure, conformal and quasiconformal mappings, symmetrization, spaces of analytic functions. He started at Texas Tech University January 2018 working as postdoctoral fellow in the Department of Mathematics and Statistics.
Dr. Alexander Solynin
Ph.D. 1985 Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine
Research Interests: Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations
Alexander Solynin received his Diplom (with honors) in Mathematics in 1980 from the Kuban State University, Krasnodar, Russia and his Ph.D. in 1985 from the Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine, Donetsk. From 1983 to 1989, he was an assistant professor of mathematics and from 1989 to 1990, an associate professor at the Kuban State University in Krasnodar, Russia. In 1990, Dr. Solynin joined the Steklov Institute of Mathematics at St. Petersburg, Russia, where he was a senior research fellow from 1993 to 2004. He came to Texas Tech University in Fall 2004 as an associate professor.
Dr. Jingyong Su
Ph.D. 2013 Florida State University
Research Interests: Statistical Shape and Trajectory Analysis, Medical Imaging, Computational Statistics
Jingyong Su joined the department as an assistant professor in the fall of 2013. Prior to this, he completed a Ph.D. in statistics at the Florida State University in the summer of 2013. Previously, he received a M.S. in computer science from Harbin Institute of Technology Shenzhen Graduate School in 2008 and a B.S. in electrical engineering from Harbin Institute of Technology in 2006. His current research interests include statistical trajectory analysis on manifolds with different applications, statistical shape analysis and medical imaging.
Dr. James Surles
Ph.D. 1999 University of South Carolina
Research Interests: Applied Statistics, Reliability and Survival Analysis, and Statistics
James G. Surles received B.S. degrees in Mathematics and Computer Science from McNeese State University in 1995 and an M.S. and Ph.D. in Statistics from the University of South Carolina in 1997 and 1999, respectively.
Dr. Surles came to Texas Tech University in 1999, where he is currently an Assistant Professor. His main research interests are Reliability and the Exponentiated Weibull and Burr type X lifetime models, but he also enjoys working with researchers from around Texas Tech on a variety of research projects.
Dr. Dimitri Volchenkov
Ph.D. 1996 Saint Petersburg State University (Russia)
Research Interests: Applied Mathematics, Data Analysis
In 2007 in Marseille, France, Dr. Volchenkov was awarded l'Habilitation à diriger des recherches at the Centre de Physique Théorique, and habilitated at the University of Bielefeld in Germany in 2010. He is an applied mathematician working in the field of data analysis, stochastic non-linear dynamics, complexity and uncertainty in real-world systems. His interdisciplinary research agenda ranges from plasma turbulence and tsunami waves, to the distribution of urban poverty, human behavior and communication patterns, models of political and biological evolution, and decision making under uncertainty.
Dr. Brock Williams
Ph.D. 1999 University of Tennessee, Knoxville
Research Interests: Analysis, Complex Analysis, Geometry, and Outreach Programs
Brock Williams came to Texas Tech in 1999 after earning a Ph.D. from the University of Tennessee and a B.S. from Mississippi State University.
Dr. Williams primary research interests are discrete conformal geometry and geometric function theory. In particular, he especially interested in the application of circle packing techniques to Riemann surfaces and quasiconformal maps. He is also involved in several funded projects involving STEM outreach and teacher preparation.
Dr. Kazuo Yamazaki
Ph.D. 2014 Oklahoma State University
Research Interests: Research Interests: Fluid PDE, Harmonic Analysis, Stochastic Analysis, Mathematical Biology
Dr. Yamazaki received a Ph.D. from Oklahoma State University in 2014. Prior to coming to TTU, he was a post-doc at Washington State University and the University of Rochester. His research consists of applications of harmonic and stochastic analysis tools to partial differential equations of fluid mechanics (e.g. Navier-Stokes equations) and infectious diseases (e.g. cholera).
Mathematical Physics
Dr. Eugenio Aulisa
Ph.D. 2005 University of Bologna
Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations
Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007.
His primary research interests are in Computational fluid mechanics,
including modeling and simulation of multiphase flows and fluid-structure interaction problems,
non-linear analysis of fluid flow filtration in porous media, and
multigrid solvers with domain decomposition methods.
Dr. Giorgio Bornia
Ph.D. 2012 University of Bologna
Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics; Applied Mathematics; Differential Equations; Mathematical Physics
Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013.
His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.
Dr. Lance Drager
Ph.D. 1978 Brandeis University
Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and
received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership
at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor
in 1983, and became Associate Professor in 1990.
His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two
coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.
Dr. Anthony Gruber
Ph.D. 2019 Texas Tech University
Research Interests: Differential Geometry, Discrete/Computational Geometry, applications to Physics, Biology and Data Science
Dr. Anthony Gruber received his Ph.D. in Mathematics from Texas Tech University in 2019. Before coming to Texas Tech Costa Rica, he was an NSF MSGI fellow at Oak Ridge National Laboratory in Oak Ridge, TN, where he helped develop a non-linear method for dimension-reduction in data-scientific applications. More recently, he has been interested in questions regarding the properties of Willmore surfaces and their generalizations, applying techniques from modern variational calculus and integrability theory to study their defining equations, and using ideas from conformal geometry to develop computational models for their geometric flows
Dr. Alastair Hamilton
Ph.D. 2005 Bristol University
Research Interests: Algebra, Geometry, Mathematical Physics, and Topology
Alastair Hamilton joined the mathematics department in the fall of 2010. Prior to this, he spent three years at the University of Connecticut as a postdoctoral fellow and a year at the Max Planck Institut fur Mathematic in Bonn, Germany. He received his Ph.D. from the University of Bristol in 2005 and his master's degree from the same institution in 2002. His research interests lie in algebra and topology. His research explores the connections between these areas and parts of mathematical physics, such as quantum field theory.
Dr. Akif Ibraguimov
Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow
Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics.
Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. W. Brent Lindquist
Ph.D. 1981 Cornell University
Research Interests: Oil Extraction is Matter of Mathematics, Physics, and Applied Math
Dr Lindquist is the Dean of the College of Arts and Sciences and an applied mathematician. His interests have included numerical methods for PDEs; flow in porous media; automated 3D image analysis for porous media, neuron, and fiber analyses; Riemann problems in 2D; hierarchy formation in social animal groups; and numerical solution of Feynman diagrams. He is a co-recipient of the Lee Segal prize from the Society of Mathematical Biology
Dr. Josh Padgett
Ph.D. 2017 Baylor University
Research Interests: Applied Mathematics, Numerical Analysis, Mathematical Biology, Mathematical Physics
Josh Padgett received his Ph.D. in Mathematics from Baylor University in 2017. He then joined Texas Tech as a postdoctoral scholar in Fall 2017. His research involves the development, analysis, and implementation of algorithms for approximating various differential equations arising in biology, chemistry, and physics. He uses a variety of techniques from both pure, applied, and computational mathematics in order to develop novel and improved results with far-reaching applicability. In particular, his current research projects are focused on differential equations formulated on homogeneous manifolds or exhibiting stochastic, non-local, or singular influences.
Dr. Aminur Rahman
Ph.D. 2017 New Jersey Institute of Technology and Rutgers University
Research Interests: Physical and Biological Applied Mathematics, Mathematical Modeling, Dynamical Systems Theory, Bifurcation Theory.
Aminur Rahman received his PhD from the federated Mathematics department of New Jersey Institute of Technology and Rutgers University in 2017. His research involves formulating mechanistic models that agree with experiments of real world systems and analyzing them via rigorous mathematics. Currently, his focus is on modeling cancer biophysics and hydrodynamic quantum analogs. To study the models arising from these systems he uses dynamical systems theory, bifurcation theory, asymptotic analysis, and numerical methods.
Dr. Magdalena Toda
Ph.D. 2000 University of Kansas
Research Interests: Geometry, Integrable Systems, Mathematical Physics, and Non-Linear Partial Differential Equations
Magdalena Toda came to the Texas Tech University in 2001 as an Assistant Professor. Her main research interests are in differential geometry and related integrable systems. She is especially interested in geometric solutions of partial differential equations, in particular non-linear PDEs which arise from integrable systems. Fluid flows, studied from a geometric view point, represent one of her research interests since 2004. Appointed to Departmental Chair as of March 1, 2016.
Computational Mathematics
Dr. Eugenio Aulisa
Ph.D. 2005 University of Bologna
Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations
Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007.
His primary research interests are in Computational fluid mechanics,
including modeling and simulation of multiphase flows and fluid-structure interaction problems,
non-linear analysis of fluid flow filtration in porous media, and
multigrid solvers with domain decomposition methods.
Dr. Giorgio Bornia
Ph.D. 2012 University of Bologna
Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics; Applied Mathematics; Differential Equations; Mathematical Physics
Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013.
His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.
Dr. Anthony Gruber
Ph.D. 2019 Texas Tech University
Research Interests: Differential Geometry, Discrete/Computational Geometry, applications to Physics, Biology and Data Science
Dr. Anthony Gruber received his Ph.D. in Mathematics from Texas Tech University in 2019. Before coming to Texas Tech Costa Rica, he was an NSF MSGI fellow at Oak Ridge National Laboratory in Oak Ridge, TN, where he helped develop a non-linear method for dimension-reduction in data-scientific applications. More recently, he has been interested in questions regarding the properties of Willmore surfaces and their generalizations, applying techniques from modern variational calculus and integrability theory to study their defining equations, and using ideas from conformal geometry to develop computational models for their geometric flows
Dr. Wei Guo
Ph.D. 2014 University of Houston
Research Interests: Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations
Wei Guo received his Ph.D. degree in applied mathematics from the University of Houston in 2014. He was a visiting assistant professor at Michigan State University before joining Texas Tech University. His research involves developing and analyzing efficient and high order accurate numerical algorithms and their applications to various fields, such as fluid dynamics and plasma physics. His recent work focuses on high order semi-Lagrangian methods for transport problems and high order sparse grid schemes for high-dimensional partial differential equations.
Dr. Victoria Howle
Ph.D. 2001 Cornell University
Research Interests: Applied Mathematics, Computational Mathematics, Numerical Analysis
Victoria Howle's research is in applied mathematics with a focus mainly on numerical linear algebra. Her main research interests have been in physics-based preconditioning for incompressible fluid flow problems, developing iterative methods and preconditioners for the solution of highly ill-conditioned systems that arise in faulted electrical power networks, and fault-tolerant linear algebra.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Lourdes Juan
Ph.D. 2000 University of Oklahom
Research Interests: Computer Algebra, Differential Algebra, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization
Lourdes Juan received an undergraduate degree with honors (Titulo de Oro) in Mathematics from the University of Havana in 1991. From 1991-1995 she worked first as a trainee and then as a research resident in the department of Artificial Intelligence and Pattern Recognition of the Cuban Academy of Sciences. In 1995 she was granted the first student visa that the US government gave in Cuba since the 1960's to pursue doctoral studies at the University of Oklahoma. She graduated with a PhD in Mathematics in 2000 under the direction of Professor Andy Magid. She was a Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley during 2000-2001, and joined the Math Department of Texas Tech in the Fall of 2001 as an assistant professor. She is currently an associate professor with tenure.
Her research interests include the Galois Theory of differential and difference equations, algebraic groups and computer algebra.
Dr. Katharine Long
Ph.D. 1991 Princeton
Research Interests: Applied Mathematics, Computational Mathematics, and Numerical Analysis
Dr. Long's research is in scientific computing: ranging from work on developing efficient mathematical algorithms for large scale simulation and optimization, to the design of advanced software architectures for high-performance simulation, to application of computational simulation to problems in physics, engineering, biology, and national defense.
Dr. Long joined Texas Tech in 2007 after nine years in the computational mathematics research department at Sandia National Laboratories in Livermore, California. Previously, she worked in industry at Beam Technologies, was on the physics faculty at the State University of New York at Brockport, and was a postdoctoral researcher at the University of Massachusetts. Her undergraduate degree is in astronomy from the University of Maryland. Her graduate study was at Princeton University where she received a PhD in theoretical astrophysics in 1991.
Dr. Jingyong Su
Ph.D. 2013 Florida State University
Research Interests: Statistical Shape and Trajectory Analysis, Medical Imaging, Computational Statistics
Jingyong Su joined the department as an assistant professor in the fall of 2013. Prior to this, he completed a Ph.D. in statistics at the Florida State University in the summer of 2013. Previously, he received a M.S. in computer science from Harbin Institute of Technology Shenzhen Graduate School in 2008 and a B.S. in electrical engineering from Harbin Institute of Technology in 2006. His current research interests include statistical trajectory analysis on manifolds with different applications, statistical shape analysis and medical imaging.
Dr. Chunmei Wang
Ph.D. 2014 Nanjing Normal University
Research Interests: Applied Mathematics, Differential Equations, Computational Mathematics
Dr. Wangs research interests fall under the broad heading of numerical methods and scientific computing for problems in science and engineering governed by partial differential equations. Her research is interdisciplinary and addresses modeling and computation of applied problems in science and engineering. She has devised new finite element methods and established the corresponding convergence analysis for (1) linear hyperbolic equations, (2) elliptic Cauchy problems, (3) second order elliptic equations in nondivergence form, (4) Maxwell's equation, (5) linear elasticity and elastic interface problems, (6) div-curl systems, and (7) biharmonic equations.
Statistics
Dr. Jay Conover
Ph.D. 1964 Catholic University of America, Washington D.C.
Research Interests: Statistics
Before getting his Ph.D. in mathematical statistics at Catholic University in Washington D. C., 1964, Dr. Conover taught as a TA at Iowa State University, and as an Instructor at the U.S. Naval Academy in Annapolis Maryland. His first tenure track position was at Kansas State University, where he taught in the Statistics Department for 9 ½ years before joining the Texas Tech Department of Mathematics and Statistics in 1973. His research interests are in applied statistics, and especially in nonparametric methods. He is a Highly Cited Researcher according to ISI, with over 30,000 citations to his books and papers. He has consulted with various pharmaceutical companies, and has done extensive consulting with several national laboratories including especially Los Alamos, Sandia in Albuquerque, Hanford Lab in Richland Washington, and Oak Ridge Lab in Tennessee. He has held visiting positions at the University of California at Davis, and the University of Zurich in Switzerland. He is listed in Whos Who in America, and Whos Who in the World.
Dr. Leif Ellingson
Ph.D. 2011 Florida State University
Research Interests: Statistics and Geometric Shape Analysis
Leif Ellingson joined the department as an assistant professor in the fall of 2011. Prior to this, he completed a Ph.D. in statistics at Florida State University in the summer of 2011 and an M.S. from the same institution in 2009. Previously, he received a B.S. in mathematics from the University of Maryland in 2007.
Dr. Ellingsons dissertation research was in shape analysis with a focus on computationally efficient nonparametric methodology in application to the study of planar contours and structural proteomics. In addition to expanding upon those projects, his current research interests include statistics on manifolds and sample spaces with manifold stratification, as well as statistical applications in bioinformatics and computational biology.
Dr. Davide Lauria
Ph.D. 2017 University of Bergamo
Research Interests: Financial Mathematics, Applied Probability, and Stochastic Programming
Davide Lauria received a Master's degree in Economics from the University of Pavia in 2012. He earned his Ph.D. in Applied Mathematics from the University of Bergamo in 2017, and then he worked in the same institution as a postdoctoral researcher for a year. Davide joined Texas Tech as a postdoctoral teaching and research scholar in fall 2018 under the supervision of professor Alex Trindade. His research interests include financial mathematics, applied probability and stochastic programming.
Dr. Phuong Nguyen
Ph.D. 2017 Indiana University
Research Interests: Stochastic Partial Differential Equations, Fluid Dynamics and Statistics.
Phuong Nguyen's research interests are stochastic partial differential equations, fluid dynamics and statistics. She received her Master's in Mathematics at New Mexico State University in May, 2010, Master in Applied Statistics at Indiana University in Dec, 2016 and Ph.D in Math in May, 2017. Phuong Nguyen's mentor is Dr. Kazuo Yamazaki.
Dr. Jiho Park
Ph.D. 2013 Sogong University, Seoul
Research Interests: Financial Mathematics, Probability Distribution Theory, Numerical Analysis on Financial Mathematics
Jiho Park received a Ph.D degree in Financial Mathematics from Sogang University in 2013. He was working at Stonybrook University as a visiting scholar before coming to Texas Tech as a postdoctoral scholar Fall 2018. His research areas are probability distribution model, risk management and option pricing in Financial Mathematics. Also he is interested in numerical method on finance.
Dr. Svetlozar Rachev
Ph.D. 1979 Lomonozov University, Moscow
Research Interests: Finance, Econometrics, Probability, Statistics, and Actuarial Sciences
Dr. Zari Rachev joined the department as a Visiting Professor in Spring 2017, and as a Full Professor with Tenure Fall 2017. Prior to coming to Texas Tech he was the Co-Director of the Quantitative Finance Program at Stony Brook University. He received his Ph.D. in mathematics from Lomonosov University, Moscow, Faculty of Mechanics and Mathematics, October 12, 1979. Dr. Rachev studies Quantitative Finance, Econometrics, Probability, Statistics, and Actuarial Sciences. As of February 2018, Dr. Rachev's Google Scholar Profile shows 13,759 citations, and an h-index of 56.
Dr. Jingyong Su
Ph.D. 2013 Florida State University
Research Interests: Statistical Shape and Trajectory Analysis, Medical Imaging, Computational Statistics
Jingyong Su joined the department as an assistant professor in the fall of 2013. Prior to this, he completed a Ph.D. in statistics at the Florida State University in the summer of 2013. Previously, he received a M.S. in computer science from Harbin Institute of Technology Shenzhen Graduate School in 2008 and a B.S. in electrical engineering from Harbin Institute of Technology in 2006. His current research interests include statistical trajectory analysis on manifolds with different applications, statistical shape analysis and medical imaging.
Dr. James Surles
Ph.D. 1999 University of South Carolina
Research Interests: Applied Statistics, Reliability and Survival Analysis, and Statistics
James G. Surles received B.S. degrees in Mathematics and Computer Science from McNeese State University in 1995 and an M.S. and Ph.D. in Statistics from the University of South Carolina in 1997 and 1999, respectively.
Dr. Surles came to Texas Tech University in 1999, where he is currently an Assistant Professor. His main research interests are Reliability and the Exponentiated Weibull and Burr type X lifetime models, but he also enjoys working with researchers from around Texas Tech on a variety of research projects.
Dr. Alex Trindade
Ph.D. 2000 Colorado State University
Research Interests: Statistics
A. Alexandre Trindade earned a B.S. in Mathematics from the University
of Southampton (U.K.) in 1988. He left Europe shortly thereafter to
pursue graduate studies in the U.S., completing an M.A. in Mathematics
at the University of Oklahoma in 1992. He worked as a programmer for
the IBM Corporation in Dallas (Texas) for two years, before returning
to graduate school in 1995. In 2000 he received a Ph.D. in Statistics
from Colorado State University.
From 2000 to 2007, Dr. Trindade was an assistant professor in the
Department of Statistics at the University of Florida. He joined Texas
Tech's Department of Mathematics and Statistics in Fall 2007. His
main research interests include: time series; multivariate volatility
modeling; state-space models and longitudinal data; saddle point-based
bootstrap methodology and applications; asymptotic theory and
higher-order approximations.
His work on saddle point-based bootstrap has been funded by the
National Security Agency. Dr. Trindade has extensive consulting
experience; in 2003-04 he was the primary statistical consultant on a
reliability project with The Boeing Company funded by DARPA, and in
2005 was contracted by Encision, Inc., for a reliability study on
medical devices.
Dr. Fangyuan Zhang
Ph.D. 2015 Ohio State University
Research Interests: Statistical Genetics and Epigenetics
Fangyuan Zhang joined the department as an assistant Professor in the fall of 2015. Prior to this, she received a B.S. degree in statistics at Beijing Normal University in China. In 2015, she received a PhD in Biostatistics from the Department of Statistics at The Ohio State University. Fangyuan Zhangs research interests are in statistical genetics and epigenetics. Her current research projects include developing parametric and nonparametric statistical methods to detect genomic imprinting and maternal effects under different study designs, and testing for association in a heterogeneous sample and its application to tumor clustering.
Geometry & Topology
Dr. Harold Bennett
Ph.D. 1968 Arizona State University
Research Interests: Topology, Logic, and Set Theory
Harold R. Bennett received his B.S. from Idaho State University in 1963 and his M.A. and Ph.D. from Arizona State University in 1965 and 1968, resp. He came to Texas Tech as an assistant professor in 1968 and, in 1980, he was appointed as a professor.
Dr. Lance Drager
Ph.D. 1978 Brandeis University
Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and
received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership
at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor
in 1983, and became Associate Professor in 1990.
His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two
coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.
Dr. Iason Efraimidis
Ph.D. 2017 Universidad Autonoma de Madrid
Research Interests: Complex Analysis, Geometric Function Theory
Iason Efraimidis received his Ph.D. in 2017 from the Universidad Autónoma de Madrid, Spain, and since then has held a postdoctoral position in Pontificia Universidad Católica de Chile. His research interests include: extremal problems for holomorphic or harmonic mappings, the Schwarzian derivative, several complex variables and some spaces of holomorphic functions.
Dr. Leif Ellingson
Ph.D. 2011 Florida State University
Research Interests: Statistics and Geometric Shape Analysis
Leif Ellingson joined the department as an assistant professor in the fall of 2011. Prior to this, he completed a Ph.D. in statistics at Florida State University in the summer of 2011 and an M.S. from the same institution in 2009. Previously, he received a B.S. in mathematics from the University of Maryland in 2007.
Dr. Ellingsons dissertation research was in shape analysis with a focus on computationally efficient nonparametric methodology in application to the study of planar contours and structural proteomics. In addition to expanding upon those projects, his current research interests include statistics on manifolds and sample spaces with manifold stratification, as well as statistical applications in bioinformatics and computational biology.
Dr. Razvan Gelca
Ph.D. 1997 University of Iowa
Research Interests: Topology
Razvan Gelca received his Bachelor's Degree at University of Timisoara and his Masters Degree at University of Bucharest. After working for one year at the Institute of Mathematics of the Romanian Academy, he went for doctoral studies at University of Iowa. After graduation he had a three year postdoc at University of Michigan and then came to Texas Tech University.
Dr. Bijoy Ghosh
Ph.D. 1983 Harvard University
Research Interests: Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology
Bijoy K. Ghosh received the B.Tech. and M.Tech. degrees in Electrical and Electronics Engineering from BITS, Pilani, and the Indian Institute of Technology, Kanpur, India, and the Ph.D. degree in Applied Mathematics from the Decision and Control Group of the Division of Applied Sciences, Harvard University, Cambridge, MA, in 1977, 1979, and 1983, respectively. From 1983 to 2006, he has been a faculty member in the Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, as a professor, and directed the center for BioCybernetics and Intelligent Systems. Presently he is a Dick and Martha Brooks Endowed Professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, TX.
Bijoy received the American Automatic Control Council's Donald Eckman Award in 1988 in recognition of his outstanding contributions in the field of Automatic Control. He received the United Nations Development Program Consultancy in India under the TOKTEN program in 1993, the Japan Society for the Promotion of Science invitation fellowship for research in Japan in 1997. In the year 2000, he became a Fellow of the Institute of Electronics and Electrical Engineering for fundamental contributions to System Theory with applications to robust control, vision and multi sensor fusion.
Bijoy is a member of the editorial board of The IEEE Transactions on Computational Biology and Bioinformatics. He has held visiting academic positions at the Yale University, USA; Universita di Padova, Italy; Institut Mittag-Leffler and Royal Institute of Technology, Sweden; Tokyo Institute of Technology and Osaka University, Japan. He is a permanent visiting professor at the Tokyo Denki University, Saitama, Japan and Technical University of Munich, Germany.
Dr. Anthony Gruber
Ph.D. 2019 Texas Tech University
Research Interests: Differential Geometry, Discrete/Computational Geometry, applications to Physics, Biology and Data Science
Dr. Anthony Gruber received his Ph.D. in Mathematics from Texas Tech University in 2019. Before coming to Texas Tech Costa Rica, he was an NSF MSGI fellow at Oak Ridge National Laboratory in Oak Ridge, TN, where he helped develop a non-linear method for dimension-reduction in data-scientific applications. More recently, he has been interested in questions regarding the properties of Willmore surfaces and their generalizations, applying techniques from modern variational calculus and integrability theory to study their defining equations, and using ideas from conformal geometry to develop computational models for their geometric flows
Dr. Alastair Hamilton
Ph.D. 2005 Bristol University
Research Interests: Algebra, Geometry, Mathematical Physics, and Topology
Alastair Hamilton joined the mathematics department in the fall of 2010. Prior to this, he spent three years at the University of Connecticut as a postdoctoral fellow and a year at the Max Planck Institut fur Mathematic in Bonn, Germany. He received his Ph.D. from the University of Bristol in 2005 and his master's degree from the same institution in 2002. His research interests lie in algebra and topology. His research explores the connections between these areas and parts of mathematical physics, such as quantum field theory.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Jeffrey M Lee
Ph.D. 1987 University of California, Los Angeles
Research Interests: Differential Geometry, Geometric Analysis
Jeffrey M. Lee received his B.S. from Brigham Young University in 1982 and his M.A. and Ph.D. from University of California (Los Angeles) in 1984 and 1987, resp. He came to Texas Tech as an assistant professor in 1990 and, in 1996, he was appointed as an associate professor.
Dr. Wayne Lewis
Ph.D. 1977 University of Texas at Austin
Research Interests: Continuum Theory, Geometric Topology, and Topological Dynamics
Wayne Lewis received his Ph.D. from the University of Texas at Austin in 1977. He has been on the faculty of the Department of Mathematics at Texas Tech University since 1977 and Professor of Mathematics since 1989.
Dr. Lewis has research interests in continuum theory and in its relations to geometric topology and to topological dynamics. He has extensive results on hereditarily indecomposable continua, especially their structure, characterizations and mapping properties. He has given numerous short courses and workshops related to the subject.
Dr. Dmitri Pavlov
Ph.D. 2011 University of California, Berkeley
Research Interests: Homotopy Theory, Higher Differential Geometry, D-modules and Mixed Hodge Modules, Factorization Algebras, Functorial Quantum Field Theory, Tomita—Takesaki Theory
Dmitri Pavlov joined the department as an assistant professor in 2017.
His research explores connections between quantum field theory, homotopy theory and higher category theory, and differential and algebraic geometry.
It includes areas such as model categories and abstract homotopy theory, differential, equivariant, and twisted cohomology theories, motivic homotopy theory, D-modules and mixed Hodge modules, factorization algebras, functorial field theory, and Tomita—Takesaki theory.
Dr. Magdalena Toda
Ph.D. 2000 University of Kansas
Research Interests: Geometry, Integrable Systems, Mathematical Physics, and Non-Linear Partial Differential Equations
Magdalena Toda came to the Texas Tech University in 2001 as an Assistant Professor. Her main research interests are in differential geometry and related integrable systems. She is especially interested in geometric solutions of partial differential equations, in particular non-linear PDEs which arise from integrable systems. Fluid flows, studied from a geometric view point, represent one of her research interests since 2004. Appointed to Departmental Chair as of March 1, 2016.
Dr. Hung Tran
Ph.D. 2014 Cornell University
Research Interests: Differential Geometry, Minimal Surfaces, Einstein Structures, 4-D Manifolds, Ricci flow, Harnack inequalities, and Applications of Geometry in Math Bio and Data Science
From a small village in Vietnam, Hung Tran obtained his bachelor degree from Berea College in Kentucky and in 2014 received his PhD degree in mathematics from Cornell University. He was a visiting assistant professor at the University of California at Irvine before joining Texas Tech University in 2017. His research lies at the interface of geometry and analysis with potential applications to mathematical physics, math bio, and data science. In other words, he utilizes analytical techniques (aka PDE) to investigate geometric equilibrium configurations. His recent work focuses on generalized Willmore and minimal surfaces , Einstein structures, and spectral analysis.
Dr. David Weinberg
Ph.D. 1980 University of Wisconsin, Madison
Research Interests: Algebraic Geometry
David Weinberg received his Bachelor's Degree from the University of Chicago in 1974 and his Ph.D. from the University of Wisconsin, Madison, in 1980. He came to Texas Tech in 1980 and was promoted to Associate Professor in 1986. He held appointments at the Mathematical Sciences Research Institute in Berkeley, CA in 1987, 1988, 1989, and 2004.
His original research area was Fourier Analysis, but since the late 1980's his research areas have been Real Algebraic Geometry and Singularities of Plane Algebraic Curves.
Dr. Brock Williams
Ph.D. 1999 University of Tennessee, Knoxville
Research Interests: Analysis, Complex Analysis, Geometry, and Outreach Programs
Brock Williams came to Texas Tech in 1999 after earning a Ph.D. from the University of Tennessee and a B.S. from Mississippi State University.
Dr. Williams primary research interests are discrete conformal geometry and geometric function theory. In particular, he especially interested in the application of circle packing techniques to Riemann surfaces and quasiconformal maps. He is also involved in several funded projects involving STEM outreach and teacher preparation.
Applied Mathematics
Dr. Linda J S Allen
Ph.D. 1981 University of Tennessee
Research Interests: Applied Mathematics, Mathematical Biology, Ordinary Differential Equations, and Stochastic Processes
Linda J. S. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral, and immune-system dynamics. The models may involve difference equations, ordinary differential equations, discrete-time or continuous-time Markov chains, branching processes, or stochastic differential equations. She is the author of two books: An Introduction to Stochastic Processes with Applications to Biology and An Introduction to Mathematical Biology.
Dr. Eugenio Aulisa
Ph.D. 2005 University of Bologna
Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations
Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007.
His primary research interests are in Computational fluid mechanics,
including modeling and simulation of multiphase flows and fluid-structure interaction problems,
non-linear analysis of fluid flow filtration in porous media, and
multigrid solvers with domain decomposition methods.
Dr. Giorgio Bornia
Ph.D. 2012 University of Bologna
Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics; Applied Mathematics; Differential Equations; Mathematical Physics
Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013.
His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.
Dr. Lance Drager
Ph.D. 1978 Brandeis University
Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and
received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership
at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor
in 1983, and became Associate Professor in 1990.
His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two
coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.
Dr. Bijoy Ghosh
Ph.D. 1983 Harvard University
Research Interests: Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology
Bijoy K. Ghosh received the B.Tech. and M.Tech. degrees in Electrical and Electronics Engineering from BITS, Pilani, and the Indian Institute of Technology, Kanpur, India, and the Ph.D. degree in Applied Mathematics from the Decision and Control Group of the Division of Applied Sciences, Harvard University, Cambridge, MA, in 1977, 1979, and 1983, respectively. From 1983 to 2006, he has been a faculty member in the Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, as a professor, and directed the center for BioCybernetics and Intelligent Systems. Presently he is a Dick and Martha Brooks Endowed Professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, TX.
Bijoy received the American Automatic Control Council's Donald Eckman Award in 1988 in recognition of his outstanding contributions in the field of Automatic Control. He received the United Nations Development Program Consultancy in India under the TOKTEN program in 1993, the Japan Society for the Promotion of Science invitation fellowship for research in Japan in 1997. In the year 2000, he became a Fellow of the Institute of Electronics and Electrical Engineering for fundamental contributions to System Theory with applications to robust control, vision and multi sensor fusion.
Bijoy is a member of the editorial board of The IEEE Transactions on Computational Biology and Bioinformatics. He has held visiting academic positions at the Yale University, USA; Universita di Padova, Italy; Institut Mittag-Leffler and Royal Institute of Technology, Sweden; Tokyo Institute of Technology and Osaka University, Japan. He is a permanent visiting professor at the Tokyo Denki University, Saitama, Japan and Technical University of Munich, Germany.
Dr. Anthony Gruber
Ph.D. 2019 Texas Tech University
Research Interests: Differential Geometry, Discrete/Computational Geometry, applications to Physics, Biology and Data Science
Dr. Anthony Gruber received his Ph.D. in Mathematics from Texas Tech University in 2019. Before coming to Texas Tech Costa Rica, he was an NSF MSGI fellow at Oak Ridge National Laboratory in Oak Ridge, TN, where he helped develop a non-linear method for dimension-reduction in data-scientific applications. More recently, he has been interested in questions regarding the properties of Willmore surfaces and their generalizations, applying techniques from modern variational calculus and integrability theory to study their defining equations, and using ideas from conformal geometry to develop computational models for their geometric flows
Dr. Raegan Higgins
Ph.D. 2008 University of Nebraska-Lincoln
Research Interests: Applied Mathematics, Dynamic Equations, Ordinary Differential Equations, Time Scales, and Outreach Programs
Raegan Higgins research is in time scales; her interests focus on oscillation criteria for certain linear and nonlinear second order dynamic equations. She is also interested in applications of time scales to biology, economics, engineering, and statistics. Additionally, Dr. Higgins is involved in funded projects focused on STEM outreach with an emphasis in increasing minorities in STEM. She received her Bachelors Degree in Mathematics from Xavier University of Louisiana in 2002 and her Doctorate in Mathematics from the University of Nebraska-Lincoln in 2008.
Dr. Victoria Howle
Ph.D. 2001 Cornell University
Research Interests: Applied Mathematics, Computational Mathematics, Numerical Analysis
Victoria Howle's research is in applied mathematics with a focus mainly on numerical linear algebra. Her main research interests have been in physics-based preconditioning for incompressible fluid flow problems, developing iterative methods and preconditioners for the solution of highly ill-conditioned systems that arise in faulted electrical power networks, and fault-tolerant linear algebra.
Dr. Akif Ibraguimov
Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow
Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations
Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics.
Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.
Dr. Ram Iyer
Ph.D. 1999 University of Maryland, College Park
Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing
Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.
Dr. Sophia Jang
Ph.D. 1990 Texas Tech University
Research Interests: Applied Mathematics and Mathematical Biology
Sophia R.-J. Jang received her Ph.D. in 1990 from Texas Tech University. She joined Texas Tech as an associate professor in Fall of 2008. Before returning to Tech, she was a faculty member at the University of Louisiana at Lafayette. Her main research activities are in mathematical biology and applied mathematics.
Dr. Davide Lauria
Ph.D. 2017 University of Bergamo
Research Interests: Financial Mathematics, Applied Probability, and Stochastic Programming
Davide Lauria received a Master's degree in Economics from the University of Pavia in 2012. He earned his Ph.D. in Applied Mathematics from the University of Bergamo in 2017, and then he worked in the same institution as a postdoctoral researcher for a year. Davide joined Texas Tech as a postdoctoral teaching and research scholar in fall 2018 under the supervision of professor Alex Trindade. His research interests include financial mathematics, applied probability and stochastic programming.
Dr. W. Brent Lindquist
Ph.D. 1981 Cornell University
Research Interests: Oil Extraction is Matter of Mathematics, Physics, and Applied Math
Dr Lindquist is the Dean of the College of Arts and Sciences and an applied mathematician. His interests have included numerical methods for PDEs; flow in porous media; automated 3D image analysis for porous media, neuron, and fiber analyses; Riemann problems in 2D; hierarchy formation in social animal groups; and numerical solution of Feynman diagrams. He is a co-recipient of the Lee Segal prize from the Society of Mathematical Biology
Dr. Katharine Long
Ph.D. 1991 Princeton
Research Interests: Applied Mathematics, Computational Mathematics, and Numerical Analysis
Dr. Long's research is in scientific computing: ranging from work on developing efficient mathematical algorithms for large scale simulation and optimization, to the design of advanced software architectures for high-performance simulation, to application of computational simulation to problems in physics, engineering, biology, and national defense.
Dr. Long joined Texas Tech in 2007 after nine years in the computational mathematics research department at Sandia National Laboratories in Livermore, California. Previously, she worked in industry at Beam Technologies, was on the physics faculty at the State University of New York at Brockport, and was a postdoctoral researcher at the University of Massachusetts. Her undergraduate degree is in astronomy from the University of Maryland. Her graduate study was at Princeton University where she received a PhD in theoretical astrophysics in 1991.
Dr. Josh Padgett
Ph.D. 2017 Baylor University
Research Interests: Applied Mathematics, Numerical Analysis, Mathematical Biology, Mathematical Physics
Josh Padgett received his Ph.D. in Mathematics from Baylor University in 2017. He then joined Texas Tech as a postdoctoral scholar in Fall 2017. His research involves the development, analysis, and implementation of algorithms for approximating various differential equations arising in biology, chemistry, and physics. He uses a variety of techniques from both pure, applied, and computational mathematics in order to develop novel and improved results with far-reaching applicability. In particular, his current research projects are focused on differential equations formulated on homogeneous manifolds or exhibiting stochastic, non-local, or singular influences.
Dr. Aminur Rahman
Ph.D. 2017 New Jersey Institute of Technology and Rutgers University
Research Interests: Physical and Biological Applied Mathematics, Mathematical Modeling, Dynamical Systems Theory, Bifurcation Theory.
Aminur Rahman received his PhD from the federated Mathematics department of New Jersey Institute of Technology and Rutgers University in 2017. His research involves formulating mechanistic models that agree with experiments of real world systems and analyzing them via rigorous mathematics. Currently, his focus is on modeling cancer biophysics and hydrodynamic quantum analogs. To study the models arising from these systems he uses dynamical systems theory, bifurcation theory, asymptotic analysis, and numerical methods.
Dr. James Surles
Ph.D. 1999 University of South Carolina
Research Interests: Applied Statistics, Reliability and Survival Analysis, and Statistics
James G. Surles received B.S. degrees in Mathematics and Computer Science from McNeese State University in 1995 and an M.S. and Ph.D. in Statistics from the University of South Carolina in 1997 and 1999, respectively.
Dr. Surles came to Texas Tech University in 1999, where he is currently an Assistant Professor. His main research interests are Reliability and the Exponentiated Weibull and Burr type X lifetime models, but he also enjoys working with researchers from around Texas Tech on a variety of research projects.
Dr. Hung Tran
Ph.D. 2014 Cornell University
Research Interests: Differential Geometry, Minimal Surfaces, Einstein Structures, 4-D Manifolds, Ricci flow, Harnack inequalities, and Applications of Geometry in Math Bio and Data Science
From a small village in Vietnam, Hung Tran obtained his bachelor degree from Berea College in Kentucky and in 2014 received his PhD degree in mathematics from Cornell University. He was a visiting assistant professor at the University of California at Irvine before joining Texas Tech University in 2017. His research lies at the interface of geometry and analysis with potential applications to mathematical physics, math bio, and data science. In other words, he utilizes analytical techniques (aka PDE) to investigate geometric equilibrium configurations. His recent work focuses on generalized Willmore and minimal surfaces , Einstein structures, and spectral analysis.
Dr. Dimitri Volchenkov
Ph.D. 1996 Saint Petersburg State University (Russia)
Research Interests: Applied Mathematics, Data Analysis
In 2007 in Marseille, France, Dr. Volchenkov was awarded l'Habilitation à diriger des recherches at the Centre de Physique Théorique, and habilitated at the University of Bielefeld in Germany in 2010. He is an applied mathematician working in the field of data analysis, stochastic non-linear dynamics, complexity and uncertainty in real-world systems. His interdisciplinary research agenda ranges from plasma turbulence and tsunami waves, to the distribution of urban poverty, human behavior and communication patterns, models of political and biological evolution, and decision making under uncertainty.
Dr. Chunmei Wang
Ph.D. 2014 Nanjing Normal University
Research Interests: Applied Mathematics, Differential Equations, Computational Mathematics
Dr. Wangs research interests fall under the broad heading of numerical methods and scientific computing for problems in science and engineering governed by partial differential equations. Her research is interdisciplinary and addresses modeling and computation of applied problems in science and engineering. She has devised new finite element methods and established the corresponding convergence analysis for (1) linear hyperbolic equations, (2) elliptic Cauchy problems, (3) second order elliptic equations in nondivergence form, (4) Maxwell's equation, (5) linear elasticity and elastic interface problems, (6) div-curl systems, and (7) biharmonic equations.
Dr. Wenjing Zhang
Ph.D. 2014 University of Western Ontario
Research Interests: Biomath, Applied Mathematics
Wenjing Zhang investigates disease dynamics, including recurrence and multiple stability, in parameter space through bifurcation theory, geometric singular perturbation theory and scientific computation. Her paper Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models was published in SIGEST section in SIAM Review in 2014.