Alan Bohnert
Ph.D. in Pure Mathematics | Low-Dimensional Topology
Alan Bohnert completed his Ph.D. in Pure Mathematics with research focused on low-dimensional topology, including work in Chern-Simons theory in Lens Spaces.
- Degree: Ph.D. in Pure Mathematics
- Research Area: Low-Dimensional Topology
- Graduation Date: May 2026
Why Texas Tech
Alan came to Texas Tech under the recommendation of his M.S. advisor. During his time in the Department of Mathematics & Statistics, he pursued advanced research while also gaining broad experience in teaching, presenting, publishing, and academic service.
Research in Plain Language
Alan’s research is in low-dimensional topology, an area of pure mathematics that studies spaces and shapes in dimensions such as two, three, and four. His work at Texas Tech focused on Chern-Simons theory in Lens Spaces as a first step toward applying his research more broadly to all 3-manifolds.
Graduate Experience
Beyond his research, Alan built a wide range of academic and professional experience at Texas Tech. He worked on a research grant, taught numerous undergraduate mathematics courses, published papers, and presented his work at an AMS special session.
He also taught college preparatory courses during the summer, adding to his experience as both a researcher and an instructor.
“Beyond my research, I have learned a wild variety of lessons.”— Alan Bohnert
Academic Milestones
Alan’s graduate work included research, publication, conference presentation, grant-supported work, and extensive teaching experience. Together, these experiences reflect the broad professional preparation he gained during his doctoral studies.