Research Areas
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| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Eugenio Aulisa | Professor | Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations | View biography for Dr. Eugenio Aulisa |
| Dr. Giacomo Barbi | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Optimal Control; Turbulence Modeling | View biography for Dr. Giacomo Barbi |
| Dr. Jeffrey Belding | Postdoctoral Teaching Scholar | Applied Mathematics, Computational Mathematics, Computational Fluid Dynamics, Mathematical Physics | View biography for Dr. Jeffrey Belding |
| Dr. Andrea Chierici | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Nonlocal Operators; Multiphase Flows; Optimal Control | View biography for Dr. Andrea Chierici |
| Dr. Lars Christensen | Professor | Algebra | View biography for Dr. Lars Christensen |
| Dr. Suddhasattwa Das | Assistant Professor | Dynamical Systems, Data Analysis, Learning Theory, Harmonic Analysis, Category Theory | View biography for Dr. Suddhasattwa Das |
| Dr. Asim Dey | Assistant Professor | Statistical methods for complex networks, Topological and geometric data analysis, High dimension statistics, Environmental statistics, Infectious disease modeling | View biography for Dr. Asim Dey |
| Dr. Leif Ellingson | Graduate Program Associate Chair and Professor | Statistics and Geometric Shape Analysis | View biography for Dr. Leif Ellingson |
| Dr. Razvan Gelca | Professor | Topology | View biography for Dr. Razvan Gelca |
| Dr. Bijoy Ghosh | Dick and Martha Brooks Endowed Professor | Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology | View biography for Dr. Bijoy Ghosh |
| Dr. Kirill Golubnichiy | Postdoctoral Teaching Scholar | Inverse Problems for Partial Differential Equations; Ill-Posed Problems; Mathematical Physics; Imaging and Image Reconstruction; Carleman Estimates; Scientific Computing; Machine Learning; Deep Learning; Mathematical Finance; Option Pricing; Volatility Modeling; Quantum Theory; Spectral Theory; Nonlinear Partial Differential Equations; Numerical Optimization; Artificial Intelligence | View biography for Dr. Kirill Golubnichiy |
| Dr. Erhan Guler | Postdoctoral Teaching Scholar | Differential Geometry; Mathematical Physics; Minimal Surfaces; Geometric Analysis; Minkowski Geometry; Semi-Riemannian Geometry; Weierstrass Representation; Hypersurfaces; Curvature Theory; Pseudo-Riemannian Geometry; Integrable Geometry; Differential Geometry of Submanifolds; Geometric Modeling | View biography for Dr. Erhan Guler |
| Dr. Wei Guo | Associate Professor | Applied Mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations | View biography for Dr. Wei Guo |
| Dr. Alastair Hamilton | Associate Professor | Algebra, Geometry, Mathematical Physics, and Topology | View biography for Dr. Alastair Hamilton |
| Dr. Raegan Higgins | Interim Department Chair, Professor, and Associate Vice Provost for Faculty Success | Time Scales; Dynamic Equations; Ordinary Differential Equations | View biography for Dr. Raegan Higgins |
| Dr. Luan Hoang | Associate Professor | Partial Differential Equations | View biography for Dr. Luan Hoang |
| Dr. Victoria Howle | Professor | Applied Mathematics, Computational Mathematics, Numerical Analysis | View biography for Dr. Victoria Howle |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Sophia Jang | Professor | Applied Mathematics and Mathematical Biology | View biography for Dr. Sophia Jang |
| Dr. Lourdes Juan | Associate Professor | Artificial Intelligence in Medical Mathematical Modeling, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization, Computer Algebra, Differential Algebra | View biography for Dr. Lourdes Juan |
| Dr. Amanda Laubmeier | Assistant Professor | Biomathematics | View biography for Dr. Amanda Laubmeier |
| Dr. Arne Ledet | Associate Professor | Generic Constructions in Various forms of Galois Theory | View biography for Dr. Arne Ledet |
| Dr. Jeffrey M Lee | Associate Professor | Differential Geometry, Geometric Analysis | View biography for Dr. Jeffrey M Lee |
| Dr. Senwei Liang | Assistant Professor | Scientific Machine Learning; Numerical Methods for Differential Equations; Machine Learning for PDEs, ODEs, and SDEs; High-Dimensional Scientific Computing. | View biography for Dr. Senwei Liang |
| Dr. W Brent Lindquist | Professor | Theoretical and Computational Mathematical Finance; Dynamic Asset Pricing; Portfolio Optimization; Risk Assessment | View biography for Dr. W Brent Lindquist |
| Dr. Ruiqi Liu | Assistant Professor | Semi/Nonparametric Methods, Econometrics, Panel Data Models, Statistical Machine/Deep Learning, Graph Network Model | View biography for Dr. Ruiqi Liu |
| Dr. Katharine Long | Professor | Applied Mathematics, Computational Mathematics, and Numerical Analysis | View biography for Dr. Katharine Long |
| Dr. Vu Thai Luan | Associate Professor | Computational and Applied mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, Computational Biology, and Visual Computing | View biography for Dr. Vu Thai Luan |
| Dr. Dermot McCarthy | Professor | Modular Forms (Elliptic & Siegel); Jacobi Forms; Graph Theory; Ramsey Theory; Hypergeometric Functions (classical, Finite Field & <i>P</i>-Adic); Properties of Algebraic Varieties. | View biography for Dr. Dermot McCarthy |
| Dr. Hongwei Mei | Assistant Professor | Applied Probability, Stochastic Analysis, Stochastic Control and Optimization, Optimal Stopping | View biography for Dr. Hongwei Mei |
| Dr. Chris Monico | Associate Professor | Algebra and Cryptography | View biography for Dr. Chris Monico |
| Dr. Alvaro Pampano | Assistant Professor | Differential Geometry, Calculus of Variations | View biography for Dr. Alvaro Pampano |
| Dr. Dmitri Pavlov | Associate Professor | Homotopy Theory and Topology Motivated by Nonperturbative Quantum Field Theory and Feynman's Path Integral, including Functorial Field Theory, Higher and Derived Differential Geometry, Factorization Algebras | View biography for Dr. Dmitri Pavlov |
| Dr. Svetlozar Rachev | Professor | Mathematical Finance; Quantitative Finance; Probability Theory; Lévy Processes; Stochastic Processes; Financial Econometrics; Risk Management; Portfolio Optimization; Asset Pricing; Derivatives Pricing; Behavioral Finance; Heavy-Tailed Distributions; Stable Distributions; Statistical Modeling; Econometric Modeling; ESG Finance; Cryptocurrency Risk Management; Market Microstructure; Option Pricing; Financial Engineering; Postmodern Portfolio Theory; Computational Finance; Actuarial Finance; Time Series Analysis; Machine Learning in Finance | View biography for Dr. Svetlozar Rachev |
| Dr. Lawrence Schovanec | Professor and University President | Solid Mechanics, Boundary Value Problems, Differential and Integral Equations | View biography for Dr. Lawrence Schovanec |
| Dr. Alexander Solynin | Professor | Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations | View biography for Dr. Alexander Solynin |
| Dr. Andrew Soto Levins | Postdoctoral Teaching Scholar | Commutative Algebra | View biography for Dr. Andrew Soto Levins |
| Dr. James Surles | Professor | Applied Statistics, Reliability and Survival Analysis, and Statistics | View biography for Dr. James Surles |
| Dr. Travis Thompson | Assistant Professor | Mathematical Physiology; Mathematical Neuroscience; Scientific Computing and Machine Learning | View biography for Dr. Travis Thompson |
| Dr. Magdalena Toda | Professor | Differential Geometry, Geometric PDE, Variational Calculus, Curvature Functionals and their applications | View biography for Dr. Magdalena Toda |
| Dr. Ignacio Tomas | Assistant Professor | Applied Mathematics, Computational Mathematics | View biography for Dr. Ignacio Tomas |
| Dr. Hung Tran | Associate Professor | Geometric Analysis; Minimal Surfaces; Ricci flow and Solitons; Geometric Learning and Applications | View biography for Dr. Hung Tran |
| Dr. Alex Trindade | Professor | Time Series; Risk and Volatility Modeling; State-Space Models and Longitudinal Data; Saddlepoint-Based Bootstrap Methodology and Applications; Nonparametric and Semiparametric Statistics; Asymptotic Theory and Higher-Order Approximations; High-Dimensional Inference | View biography for Dr. Alex Trindade |
| Dr. Mohit Tripathi | Postdoctoral Teaching Scholar | Number Theory, Hypergeometric function over finite fields, Appell function over finite fields, p-adic Hypergeometric functions, p-adic Appell function, Modular forms, Elliptic curves, and Galois representations | View biography for Dr. Mohit Tripathi |
| Dr. Anh-Khoa Vo | Assistant Professor | Inverse problems for Partial Differential Equations, Stability and Convergence | View biography for Dr. Anh-Khoa Vo |
| Dr. Dimitri Volchenkov | Professor | Stochastic Processes and Random Walks; Nonlinear Dynamics and Complex Systems; Graph Theory and Network Science; Mathematical Modeling of Social Behavior, Conformity, and Polarization; Statistical Learning and Data-driven Modeling; Mathematical Physics. | View biography for Dr. Dimitri Volchenkov |
| Dr. Rui Wang | Postdoctoral Teaching Scholar | Mathematical Finance, Complex Stochastic systems, Economic models | View biography for Dr. Rui Wang |
| Dr. Yifan Wang | Assistant Professor | Applied Mathematics, Computational Mathematics, Mathematical modeling and programming, Biomathematics | View biography for Dr. Yifan Wang |
| Dr. David Weinberg | Associate Professor | Algebraic Geometry | View biography for Dr. David Weinberg |
| Dr. Brock Williams | Associate Chair for Undergraduate Studies and Professor | Complex Analysis; Complex Dynamics; Discrete Conformal Geometry; Geometric Function Theory | View biography for Dr. Brock Williams |
| Dr. Yanni Zeng | Postdoctoral Teaching Scholar | Applied and computational dynamical systems; stability and bifurcation analysis; statistical modeling; biomathematics; nonlinear differential equations; numerical simulation | View biography for Dr. Yanni Zeng |
| Dr. Fangyuan Zhang | Associate Professor | Statistical Genetics and Epigenetics | View biography for Dr. Fangyuan Zhang |
| Dr. Wenjing Zhang | Associate Professor | Biomath, Applied Mathematics | View biography for Dr. Wenjing Zhang |
Algebra
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Lars Christensen | Professor | Algebra | View biography for Dr. Lars Christensen |
| Dr. Alastair Hamilton | Associate Professor | Algebra, Geometry, Mathematical Physics, and Topology | View biography for Dr. Alastair Hamilton |
| Dr. Lourdes Juan | Associate Professor | Artificial Intelligence in Medical Mathematical Modeling, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization, Computer Algebra, Differential Algebra | View biography for Dr. Lourdes Juan |
| Dr. Dermot McCarthy | Professor | Modular Forms (Elliptic & Siegel); Jacobi Forms; Graph Theory; Ramsey Theory; Hypergeometric Functions (classical, Finite Field & <i>P</i>-Adic); Properties of Algebraic Varieties. | View biography for Dr. Dermot McCarthy |
| Dr. Chris Monico | Associate Professor | Algebra and Cryptography | View biography for Dr. Chris Monico |
| Dr. Dmitri Pavlov | Associate Professor | Homotopy Theory and Topology Motivated by Nonperturbative Quantum Field Theory and Feynman's Path Integral, including Functorial Field Theory, Higher and Derived Differential Geometry, Factorization Algebras | View biography for Dr. Dmitri Pavlov |
| Dr. Andrew Soto Levins | Postdoctoral Teaching Scholar | Commutative Algebra | View biography for Dr. Andrew Soto Levins |
| Dr. David Weinberg | Associate Professor | Algebraic Geometry | View biography for Dr. David Weinberg |
Analysis
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Eugenio Aulisa | Professor | Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations | View biography for Dr. Eugenio Aulisa |
| Dr. Suddhasattwa Das | Assistant Professor | Dynamical Systems, Data Analysis, Learning Theory, Harmonic Analysis, Category Theory | View biography for Dr. Suddhasattwa Das |
| Dr. Asim Dey | Assistant Professor | Statistical methods for complex networks, Topological and geometric data analysis, High dimension statistics, Environmental statistics, Infectious disease modeling | View biography for Dr. Asim Dey |
| Dr. Leif Ellingson | Graduate Program Associate Chair and Professor | Statistics and Geometric Shape Analysis | View biography for Dr. Leif Ellingson |
| Dr. Erhan Guler | Postdoctoral Teaching Scholar | Differential Geometry; Mathematical Physics; Minimal Surfaces; Geometric Analysis; Minkowski Geometry; Semi-Riemannian Geometry; Weierstrass Representation; Hypersurfaces; Curvature Theory; Pseudo-Riemannian Geometry; Integrable Geometry; Differential Geometry of Submanifolds; Geometric Modeling | View biography for Dr. Erhan Guler |
| Dr. Wei Guo | Associate Professor | Applied Mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations | View biography for Dr. Wei Guo |
| Dr. Victoria Howle | Professor | Applied Mathematics, Computational Mathematics, Numerical Analysis | View biography for Dr. Victoria Howle |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Jeffrey M Lee | Associate Professor | Differential Geometry, Geometric Analysis | View biography for Dr. Jeffrey M Lee |
| Dr. Katharine Long | Professor | Applied Mathematics, Computational Mathematics, and Numerical Analysis | View biography for Dr. Katharine Long |
| Dr. Vu Thai Luan | Associate Professor | Computational and Applied mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, Computational Biology, and Visual Computing | View biography for Dr. Vu Thai Luan |
| Dr. Hongwei Mei | Assistant Professor | Applied Probability, Stochastic Analysis, Stochastic Control and Optimization, Optimal Stopping | View biography for Dr. Hongwei Mei |
| Dr. Svetlozar Rachev | Professor | Mathematical Finance; Quantitative Finance; Probability Theory; Lévy Processes; Stochastic Processes; Financial Econometrics; Risk Management; Portfolio Optimization; Asset Pricing; Derivatives Pricing; Behavioral Finance; Heavy-Tailed Distributions; Stable Distributions; Statistical Modeling; Econometric Modeling; ESG Finance; Cryptocurrency Risk Management; Market Microstructure; Option Pricing; Financial Engineering; Postmodern Portfolio Theory; Computational Finance; Actuarial Finance; Time Series Analysis; Machine Learning in Finance | View biography for Dr. Svetlozar Rachev |
| Dr. Alexander Solynin | Professor | Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations | View biography for Dr. Alexander Solynin |
| Dr. James Surles | Professor | Applied Statistics, Reliability and Survival Analysis, and Statistics | View biography for Dr. James Surles |
| Dr. Hung Tran | Associate Professor | Geometric Analysis; Minimal Surfaces; Ricci flow and Solitons; Geometric Learning and Applications | View biography for Dr. Hung Tran |
| Dr. Brock Williams | Associate Chair for Undergraduate Studies and Professor | Complex Analysis; Complex Dynamics; Discrete Conformal Geometry; Geometric Function Theory | View biography for Dr. Brock Williams |
| Dr. Yanni Zeng | Postdoctoral Teaching Scholar | Applied and computational dynamical systems; stability and bifurcation analysis; statistical modeling; biomathematics; nonlinear differential equations; numerical simulation | View biography for Dr. Yanni Zeng |
Applied Mathematics
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Eugenio Aulisa | Professor | Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations | View biography for Dr. Eugenio Aulisa |
| Dr. Giacomo Barbi | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Optimal Control; Turbulence Modeling | View biography for Dr. Giacomo Barbi |
| Dr. Jeffrey Belding | Postdoctoral Teaching Scholar | Applied Mathematics, Computational Mathematics, Computational Fluid Dynamics, Mathematical Physics | View biography for Dr. Jeffrey Belding |
| Dr. Andrea Chierici | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Nonlocal Operators; Multiphase Flows; Optimal Control | View biography for Dr. Andrea Chierici |
| Dr. Bijoy Ghosh | Dick and Martha Brooks Endowed Professor | Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology | View biography for Dr. Bijoy Ghosh |
| Dr. Wei Guo | Associate Professor | Applied Mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations | View biography for Dr. Wei Guo |
| Dr. Victoria Howle | Professor | Applied Mathematics, Computational Mathematics, Numerical Analysis | View biography for Dr. Victoria Howle |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Sophia Jang | Professor | Applied Mathematics and Mathematical Biology | View biography for Dr. Sophia Jang |
| Dr. Katharine Long | Professor | Applied Mathematics, Computational Mathematics, and Numerical Analysis | View biography for Dr. Katharine Long |
| Dr. Vu Thai Luan | Associate Professor | Computational and Applied mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, Computational Biology, and Visual Computing | View biography for Dr. Vu Thai Luan |
| Dr. Hongwei Mei | Assistant Professor | Applied Probability, Stochastic Analysis, Stochastic Control and Optimization, Optimal Stopping | View biography for Dr. Hongwei Mei |
| Dr. James Surles | Professor | Applied Statistics, Reliability and Survival Analysis, and Statistics | View biography for Dr. James Surles |
| Dr. Magdalena Toda | Professor | Differential Geometry, Geometric PDE, Variational Calculus, Curvature Functionals and their applications | View biography for Dr. Magdalena Toda |
| Dr. Ignacio Tomas | Assistant Professor | Applied Mathematics, Computational Mathematics | View biography for Dr. Ignacio Tomas |
| Dr. Hung Tran | Associate Professor | Geometric Analysis; Minimal Surfaces; Ricci flow and Solitons; Geometric Learning and Applications | View biography for Dr. Hung Tran |
| Dr. Alex Trindade | Professor | Time Series; Risk and Volatility Modeling; State-Space Models and Longitudinal Data; Saddlepoint-Based Bootstrap Methodology and Applications; Nonparametric and Semiparametric Statistics; Asymptotic Theory and Higher-Order Approximations; High-Dimensional Inference | View biography for Dr. Alex Trindade |
| Dr. Yifan Wang | Assistant Professor | Applied Mathematics, Computational Mathematics, Mathematical modeling and programming, Biomathematics | View biography for Dr. Yifan Wang |
| Dr. Yanni Zeng | Postdoctoral Teaching Scholar | Applied and computational dynamical systems; stability and bifurcation analysis; statistical modeling; biomathematics; nonlinear differential equations; numerical simulation | View biography for Dr. Yanni Zeng |
| Dr. Wenjing Zhang | Associate Professor | Biomath, Applied Mathematics | View biography for Dr. Wenjing Zhang |
Computational Mathematics
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Eugenio Aulisa | Professor | Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations | View biography for Dr. Eugenio Aulisa |
| Dr. Giacomo Barbi | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Optimal Control; Turbulence Modeling | View biography for Dr. Giacomo Barbi |
| Dr. Jeffrey Belding | Postdoctoral Teaching Scholar | Applied Mathematics, Computational Mathematics, Computational Fluid Dynamics, Mathematical Physics | View biography for Dr. Jeffrey Belding |
| Dr. Andrea Chierici | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Nonlocal Operators; Multiphase Flows; Optimal Control | View biography for Dr. Andrea Chierici |
| Dr. Kirill Golubnichiy | Postdoctoral Teaching Scholar | Inverse Problems for Partial Differential Equations; Ill-Posed Problems; Mathematical Physics; Imaging and Image Reconstruction; Carleman Estimates; Scientific Computing; Machine Learning; Deep Learning; Mathematical Finance; Option Pricing; Volatility Modeling; Quantum Theory; Spectral Theory; Nonlinear Partial Differential Equations; Numerical Optimization; Artificial Intelligence | View biography for Dr. Kirill Golubnichiy |
| Dr. Wei Guo | Associate Professor | Applied Mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, and Plasma Simulations | View biography for Dr. Wei Guo |
| Dr. Victoria Howle | Professor | Applied Mathematics, Computational Mathematics, Numerical Analysis | View biography for Dr. Victoria Howle |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Lourdes Juan | Associate Professor | Artificial Intelligence in Medical Mathematical Modeling, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization, Computer Algebra, Differential Algebra | View biography for Dr. Lourdes Juan |
| Dr. Senwei Liang | Assistant Professor | Scientific Machine Learning; Numerical Methods for Differential Equations; Machine Learning for PDEs, ODEs, and SDEs; High-Dimensional Scientific Computing. | View biography for Dr. Senwei Liang |
| Dr. W Brent Lindquist | Professor | Theoretical and Computational Mathematical Finance; Dynamic Asset Pricing; Portfolio Optimization; Risk Assessment | View biography for Dr. W Brent Lindquist |
| Dr. Katharine Long | Professor | Applied Mathematics, Computational Mathematics, and Numerical Analysis | View biography for Dr. Katharine Long |
| Dr. Vu Thai Luan | Associate Professor | Computational and Applied mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, Computational Biology, and Visual Computing | View biography for Dr. Vu Thai Luan |
| Dr. Svetlozar Rachev | Professor | Mathematical Finance; Quantitative Finance; Probability Theory; Lévy Processes; Stochastic Processes; Financial Econometrics; Risk Management; Portfolio Optimization; Asset Pricing; Derivatives Pricing; Behavioral Finance; Heavy-Tailed Distributions; Stable Distributions; Statistical Modeling; Econometric Modeling; ESG Finance; Cryptocurrency Risk Management; Market Microstructure; Option Pricing; Financial Engineering; Postmodern Portfolio Theory; Computational Finance; Actuarial Finance; Time Series Analysis; Machine Learning in Finance | View biography for Dr. Svetlozar Rachev |
| Dr. Travis Thompson | Assistant Professor | Mathematical Physiology; Mathematical Neuroscience; Scientific Computing and Machine Learning | View biography for Dr. Travis Thompson |
| Dr. Ignacio Tomas | Assistant Professor | Applied Mathematics, Computational Mathematics | View biography for Dr. Ignacio Tomas |
| Dr. Yifan Wang | Assistant Professor | Applied Mathematics, Computational Mathematics, Mathematical modeling and programming, Biomathematics | View biography for Dr. Yifan Wang |
| Dr. Yanni Zeng | Postdoctoral Teaching Scholar | Applied and computational dynamical systems; stability and bifurcation analysis; statistical modeling; biomathematics; nonlinear differential equations; numerical simulation | View biography for Dr. Yanni Zeng |
Control Theory
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Giacomo Barbi | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Optimal Control; Turbulence Modeling | View biography for Dr. Giacomo Barbi |
| Dr. Andrea Chierici | Postdoctoral Teaching Scholar | Applied Mathematics; Computational Mathematics; Computational Fluid Dynamics; Nonlocal Operators; Multiphase Flows; Optimal Control | View biography for Dr. Andrea Chierici |
| Dr. Bijoy Ghosh | Dick and Martha Brooks Endowed Professor | Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology | View biography for Dr. Bijoy Ghosh |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Hongwei Mei | Assistant Professor | Applied Probability, Stochastic Analysis, Stochastic Control and Optimization, Optimal Stopping | View biography for Dr. Hongwei Mei |
Differential Equations
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Eugenio Aulisa | Professor | Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations | View biography for Dr. Eugenio Aulisa |
| Dr. Kirill Golubnichiy | Postdoctoral Teaching Scholar | Inverse Problems for Partial Differential Equations; Ill-Posed Problems; Mathematical Physics; Imaging and Image Reconstruction; Carleman Estimates; Scientific Computing; Machine Learning; Deep Learning; Mathematical Finance; Option Pricing; Volatility Modeling; Quantum Theory; Spectral Theory; Nonlinear Partial Differential Equations; Numerical Optimization; Artificial Intelligence | View biography for Dr. Kirill Golubnichiy |
| Dr. Raegan Higgins | Interim Department Chair, Professor, and Associate Vice Provost for Faculty Success | Time Scales; Dynamic Equations; Ordinary Differential Equations | View biography for Dr. Raegan Higgins |
| Dr. Luan Hoang | Associate Professor | Partial Differential Equations | View biography for Dr. Luan Hoang |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Senwei Liang | Assistant Professor | Scientific Machine Learning; Numerical Methods for Differential Equations; Machine Learning for PDEs, ODEs, and SDEs; High-Dimensional Scientific Computing. | View biography for Dr. Senwei Liang |
| Dr. Lawrence Schovanec | Professor and University President | Solid Mechanics, Boundary Value Problems, Differential and Integral Equations | View biography for Dr. Lawrence Schovanec |
| Dr. Alexander Solynin | Professor | Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations | View biography for Dr. Alexander Solynin |
| Dr. Anh-Khoa Vo | Assistant Professor | Inverse problems for Partial Differential Equations, Stability and Convergence | View biography for Dr. Anh-Khoa Vo |
| Dr. Yanni Zeng | Postdoctoral Teaching Scholar | Applied and computational dynamical systems; stability and bifurcation analysis; statistical modeling; biomathematics; nonlinear differential equations; numerical simulation | View biography for Dr. Yanni Zeng |
Education and Outreach
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. David Cannon | Graduate Program Director & Instructor | Leadership, Education, Curriculum Studies | View biography for Dr. David Cannon |
Geometry and Topology
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Asim Dey | Assistant Professor | Statistical methods for complex networks, Topological and geometric data analysis, High dimension statistics, Environmental statistics, Infectious disease modeling | View biography for Dr. Asim Dey |
| Dr. Leif Ellingson | Graduate Program Associate Chair and Professor | Statistics and Geometric Shape Analysis | View biography for Dr. Leif Ellingson |
| Dr. Razvan Gelca | Professor | Topology | View biography for Dr. Razvan Gelca |
| Dr. Bijoy Ghosh | Dick and Martha Brooks Endowed Professor | Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology | View biography for Dr. Bijoy Ghosh |
| Dr. Erhan Guler | Postdoctoral Teaching Scholar | Differential Geometry; Mathematical Physics; Minimal Surfaces; Geometric Analysis; Minkowski Geometry; Semi-Riemannian Geometry; Weierstrass Representation; Hypersurfaces; Curvature Theory; Pseudo-Riemannian Geometry; Integrable Geometry; Differential Geometry of Submanifolds; Geometric Modeling | View biography for Dr. Erhan Guler |
| Dr. Alastair Hamilton | Associate Professor | Algebra, Geometry, Mathematical Physics, and Topology | View biography for Dr. Alastair Hamilton |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Jeffrey M Lee | Associate Professor | Differential Geometry, Geometric Analysis | View biography for Dr. Jeffrey M Lee |
| Dr. Dermot McCarthy | Professor | Modular Forms (Elliptic & Siegel); Jacobi Forms; Graph Theory; Ramsey Theory; Hypergeometric Functions (classical, Finite Field & <i>P</i>-Adic); Properties of Algebraic Varieties. | View biography for Dr. Dermot McCarthy |
| Dr. Alvaro Pampano | Assistant Professor | Differential Geometry, Calculus of Variations | View biography for Dr. Alvaro Pampano |
| Dr. Dmitri Pavlov | Associate Professor | Homotopy Theory and Topology Motivated by Nonperturbative Quantum Field Theory and Feynman's Path Integral, including Functorial Field Theory, Higher and Derived Differential Geometry, Factorization Algebras | View biography for Dr. Dmitri Pavlov |
| Dr. Magdalena Toda | Professor | Differential Geometry, Geometric PDE, Variational Calculus, Curvature Functionals and their applications | View biography for Dr. Magdalena Toda |
| Dr. Hung Tran | Associate Professor | Geometric Analysis; Minimal Surfaces; Ricci flow and Solitons; Geometric Learning and Applications | View biography for Dr. Hung Tran |
| Dr. Mohit Tripathi | Postdoctoral Teaching Scholar | Number Theory, Hypergeometric function over finite fields, Appell function over finite fields, p-adic Hypergeometric functions, p-adic Appell function, Modular forms, Elliptic curves, and Galois representations | View biography for Dr. Mohit Tripathi |
| Dr. David Weinberg | Associate Professor | Algebraic Geometry | View biography for Dr. David Weinberg |
| Dr. Brock Williams | Associate Chair for Undergraduate Studies and Professor | Complex Analysis; Complex Dynamics; Discrete Conformal Geometry; Geometric Function Theory | View biography for Dr. Brock Williams |
Mathematical Biology
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Bijoy Ghosh | Dick and Martha Brooks Endowed Professor | Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology | View biography for Dr. Bijoy Ghosh |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Sophia Jang | Professor | Applied Mathematics and Mathematical Biology | View biography for Dr. Sophia Jang |
| Dr. Lourdes Juan | Associate Professor | Artificial Intelligence in Medical Mathematical Modeling, Computational Mathematics, Mathematical Biology, Dynamical Systems, Symbolic Integration, Algorithmic Methods in Mathematics and Optimization, Computer Algebra, Differential Algebra | View biography for Dr. Lourdes Juan |
| Dr. Amanda Laubmeier | Assistant Professor | Biomathematics | View biography for Dr. Amanda Laubmeier |
| Dr. Vu Thai Luan | Associate Professor | Computational and Applied mathematics, Numerical Analysis, Scientific Computing, Computational Fluid Dynamics, Computational Biology, and Visual Computing | View biography for Dr. Vu Thai Luan |
| Dr. Angela Peace | Adjunct Graduate Faculty | Mathematical Biology | View biography for Dr. Angela Peace |
| Dr. Yifan Wang | Assistant Professor | Applied Mathematics, Computational Mathematics, Mathematical modeling and programming, Biomathematics | View biography for Dr. Yifan Wang |
| Dr. Yanni Zeng | Postdoctoral Teaching Scholar | Applied and computational dynamical systems; stability and bifurcation analysis; statistical modeling; biomathematics; nonlinear differential equations; numerical simulation | View biography for Dr. Yanni Zeng |
| Dr. Wenjing Zhang | Associate Professor | Biomath, Applied Mathematics | View biography for Dr. Wenjing Zhang |
Mathematical Finance
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Kirill Golubnichiy | Postdoctoral Teaching Scholar | Inverse Problems for Partial Differential Equations; Ill-Posed Problems; Mathematical Physics; Imaging and Image Reconstruction; Carleman Estimates; Scientific Computing; Machine Learning; Deep Learning; Mathematical Finance; Option Pricing; Volatility Modeling; Quantum Theory; Spectral Theory; Nonlinear Partial Differential Equations; Numerical Optimization; Artificial Intelligence | View biography for Dr. Kirill Golubnichiy |
| Dr. W Brent Lindquist | Professor | Theoretical and Computational Mathematical Finance; Dynamic Asset Pricing; Portfolio Optimization; Risk Assessment | View biography for Dr. W Brent Lindquist |
| Dr. Svetlozar Rachev | Professor | Mathematical Finance; Quantitative Finance; Probability Theory; Lévy Processes; Stochastic Processes; Financial Econometrics; Risk Management; Portfolio Optimization; Asset Pricing; Derivatives Pricing; Behavioral Finance; Heavy-Tailed Distributions; Stable Distributions; Statistical Modeling; Econometric Modeling; ESG Finance; Cryptocurrency Risk Management; Market Microstructure; Option Pricing; Financial Engineering; Postmodern Portfolio Theory; Computational Finance; Actuarial Finance; Time Series Analysis; Machine Learning in Finance | View biography for Dr. Svetlozar Rachev |
| Dr. Rui Wang | Postdoctoral Teaching Scholar | Mathematical Finance, Complex Stochastic systems, Economic models | View biography for Dr. Rui Wang |
Mathematical Physics
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Eugenio Aulisa | Professor | Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations | View biography for Dr. Eugenio Aulisa |
| Dr. Jeffrey Belding | Postdoctoral Teaching Scholar | Applied Mathematics, Computational Mathematics, Computational Fluid Dynamics, Mathematical Physics | View biography for Dr. Jeffrey Belding |
| Dr. Kirill Golubnichiy | Postdoctoral Teaching Scholar | Inverse Problems for Partial Differential Equations; Ill-Posed Problems; Mathematical Physics; Imaging and Image Reconstruction; Carleman Estimates; Scientific Computing; Machine Learning; Deep Learning; Mathematical Finance; Option Pricing; Volatility Modeling; Quantum Theory; Spectral Theory; Nonlinear Partial Differential Equations; Numerical Optimization; Artificial Intelligence | View biography for Dr. Kirill Golubnichiy |
| Dr. Erhan Guler | Postdoctoral Teaching Scholar | Differential Geometry; Mathematical Physics; Minimal Surfaces; Geometric Analysis; Minkowski Geometry; Semi-Riemannian Geometry; Weierstrass Representation; Hypersurfaces; Curvature Theory; Pseudo-Riemannian Geometry; Integrable Geometry; Differential Geometry of Submanifolds; Geometric Modeling | View biography for Dr. Erhan Guler |
| Dr. Alastair Hamilton | Associate Professor | Algebra, Geometry, Mathematical Physics, and Topology | View biography for Dr. Alastair Hamilton |
| Dr. Ram Iyer | Professor | Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing | View biography for Dr. Ram Iyer |
| Dr. Dimitri Volchenkov | Professor | Stochastic Processes and Random Walks; Nonlinear Dynamics and Complex Systems; Graph Theory and Network Science; Mathematical Modeling of Social Behavior, Conformity, and Polarization; Statistical Learning and Data-driven Modeling; Mathematical Physics. | View biography for Dr. Dimitri Volchenkov |
Statistics
| Name | Job Title | Research Subjects | Biography link |
|---|---|---|---|
| Dr. Asim Dey | Assistant Professor | Statistical methods for complex networks, Topological and geometric data analysis, High dimension statistics, Environmental statistics, Infectious disease modeling | View biography for Dr. Asim Dey |
| Dr. Leif Ellingson | Graduate Program Associate Chair and Professor | Statistics and Geometric Shape Analysis | View biography for Dr. Leif Ellingson |
| Dr. Ruiqi Liu | Assistant Professor | Semi/Nonparametric Methods, Econometrics, Panel Data Models, Statistical Machine/Deep Learning, Graph Network Model | View biography for Dr. Ruiqi Liu |
| Dr. Hongwei Mei | Assistant Professor | Applied Probability, Stochastic Analysis, Stochastic Control and Optimization, Optimal Stopping | View biography for Dr. Hongwei Mei |
| Dr. Svetlozar Rachev | Professor | Mathematical Finance; Quantitative Finance; Probability Theory; Lévy Processes; Stochastic Processes; Financial Econometrics; Risk Management; Portfolio Optimization; Asset Pricing; Derivatives Pricing; Behavioral Finance; Heavy-Tailed Distributions; Stable Distributions; Statistical Modeling; Econometric Modeling; ESG Finance; Cryptocurrency Risk Management; Market Microstructure; Option Pricing; Financial Engineering; Postmodern Portfolio Theory; Computational Finance; Actuarial Finance; Time Series Analysis; Machine Learning in Finance | View biography for Dr. Svetlozar Rachev |
| Dr. James Surles | Professor | Applied Statistics, Reliability and Survival Analysis, and Statistics | View biography for Dr. James Surles |
| Dr. Alex Trindade | Professor | Time Series; Risk and Volatility Modeling; State-Space Models and Longitudinal Data; Saddlepoint-Based Bootstrap Methodology and Applications; Nonparametric and Semiparametric Statistics; Asymptotic Theory and Higher-Order Approximations; High-Dimensional Inference | View biography for Dr. Alex Trindade |
| Dr. Dimitri Volchenkov | Professor | Stochastic Processes and Random Walks; Nonlinear Dynamics and Complex Systems; Graph Theory and Network Science; Mathematical Modeling of Social Behavior, Conformity, and Polarization; Statistical Learning and Data-driven Modeling; Mathematical Physics. | View biography for Dr. Dimitri Volchenkov |
| Dr. Yanni Zeng | Postdoctoral Teaching Scholar | Applied and computational dynamical systems; stability and bifurcation analysis; statistical modeling; biomathematics; nonlinear differential equations; numerical simulation | View biography for Dr. Yanni Zeng |
| Dr. Fangyuan Zhang | Associate Professor | Statistical Genetics and Epigenetics | View biography for Dr. Fangyuan Zhang |
Department of Mathematics & Statistics
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Address
Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409-1042 -
Phone
806.742.2566 -
Email
math.dept@ttu.edu