Math Faculty and Postdoctoral Mentors
Find potential faculty or postdoctoral math mentors, including more information about their research and how to contact them.
Undergraduate researchers or students completing a CLA Capstone or Latin Honors Thesis in mathematics must pursue their work under the guidance of a math faculty or postdoctoral mentor.
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CLA Capstone (MATH 4995 or 4997W)
CLA Capstone (MATH 4995 or 4997W)
| Name | Research area |
|---|---|
| Anar Akhmedov | Knot theory, low dimensional topology, symplectic topology, algebra, algebraic geometry. |
| Christine Berkesch | Algebraic geometry, commutative algebra. |
| Dmitriy Bilyk | Analysis, discrepancy theory, approximation, probability. |
| Sergey Bobkov | Probability theory, analysis, convex geometry, Sobolev-type inequalities. |
| Jeff Calder | Partial differential equations, numerical analysis, applied probability, machine learning, image processing and computer vision. |
| Carme Calderer | Applied mathematics, continuum mechanics, soft condensed matter physics and materials science, with emphasis on liquid crystals, ferroic materials, partial differential equations and calculus of variations. |
| Tsao-Hsien Chen | Geometric representation theory |
| Wei-Kuo Chen | Probability theory and mathematical physics |
| Max Engelstein | Harmonic analysis, partial differential equations, geometric measure theory and the calculus of variations. |
| David Favero | Algebraic geometry, derived categories, mirror symmetry |
| Paul Garrett | Modern analysis in automorphic forms and number theory. |
| Haoyang Guo | Algebraic geometry and number theory, especially p-adic geometry and p-adic Hodge theory |
| Greg Handy | Theoretical neuroscience, applied mathematics, stochastic processes, mathematical biology, dynamical systems, and calcium dynamics |
| Hao Jia | Regularity, singularity formation, asymptotic stability, and long time behavior of solutions to important differential equations, such as the Navier Stokes and Euler equations from the mathematical analysis of fluid dynamics |
| Dihua Jiang | Automorphic forms, L-functions, number theory, harmonic analysis, representation theory. |
| Markus Keel | Differential equations (partial and ordinary differential equations); analysis; applications involving linear algebra and probability to areas such as finance, computer science, and physics. |
| Ru-Yu Lai | Inverse problems, partial differential equations, analysis, applied math. |
| Kai-Wen Lan | Number theory, algebraic geometry, and their applications. |
| Tyler Lawson | Algebraic topology, K-theory. |
| William Leeb | Applied mathematics, computational harmonic analysis, signal and image processing, data analysis. |
| Gilad Lerman | Computational harmonic analysis, machine learning, data analysis and modeling, computer vision. |
| Tian-Jun Li | Low dimensional topology, symplectic topology, differential geometry |
| Yulong Lu | Mathematical foundations of machine learning and data sciences, applied probability and stochastic processes, applied analysis and PDEs, Bayesian and computational statistics, inverse problems and uncertainty quantification |
| Svitlana Mayboroda | Analysis, partial differential equations. |
| Richard McGehee | Dynamical systems, applied math. |
| Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Pavlo Pylyavskyy | algebraic combinatorics |
| Jonathan Rogness | Topology, mathematics education, geometry. |
| Maru Sarazola | Homotopy theory, algebraic K-theory, category theory, algebraic topology, applied category theory |
| Kim Savinon | Numerical analysis, finite elemental analysis, differential equations (partial and ordinary), applied mathematics |
| Arnd Scheel | Dynamical systems, partial differential equations, applied math. |
| Arnab Sen | Probability theory, random matrices, spectral graph theory. |
| Daniel Spirn | Partial differential equations, applied mathematics. |
| Vladimir Sverak | Partial differential equations, fluid mechanics, ordinary differential equations. |
| Alexander Voronov | Mathematical physics, algebraic topology, algebra, algebraic geometry. |
| Li Wang | Numerical partial differential equations, applied math. |
| Alex Watson | Partial differential equations, mathematical physics, numerical analysis, computational physics, and data science. |
| Anna Weigandt | Algebraic combinatorics and problems that involve the relationship between algebra, combinatorics, and geometry. Specifically, Schubert calculus and combinatorial algebraic geometry. |
| Peter Webb | Representation theory, group theory, algebraic computation. |
| Xiaowen Zhu | Topological insulators, spectral theory, ergodic theory, and semiclassical analysis. |
Students in the actuarial science specialization can also consider Gary Hatfield, Rina Ashkenazi, and Doreen Vescelius for capstone mentors.
Students in the math education specialization can also consider Shelley Doughtery and Mike Weimerskirch as capstone mentors.
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Latin Honors Thesis
Latin Honors Thesis
| Name | Research area |
|---|---|
| Anar Akhmedov | Knot theory, low dimensional topology, symplectic topology, algebra, algebraic geometry. |
| Christine Berkesch | Algebraic geometry, commutative algebra. |
| Dmitriy Bilyk | Analysis, discrepancy theory, approximation, probability. |
| Sergey Bobkov | Probability theory, analysis, convex geometry, Sobolev-type inequalities. |
| Jeff Calder | Partial differential equations, numerical analysis, applied probability, machine learning, image processing and computer vision. |
| Carme Calderer | Applied mathematics, continuum mechanics, soft condensed matter physics and materials science, with emphasis on liquid crystals, ferroic materials, partial differential equations and calculus of variations. |
| Max Engelstein | Harmonic analysis, partial differential equations, geometric measure theory and the calculus of variations. |
| Paul Garrett | Modern analysis in automorphic forms and number theory. |
| Dihua Jiang | Automorphic forms, L-functions, number theory, harmonic analysis, representation theory. |
| Markus Keel | Differential equations (partial and ordinary differential equations); analysis; applications involving linear algebra and probability to areas such as finance, computer science, and physics. |
| Ru-Yu Lai | Inverse problems, partial differential equations, analysis, applied math. |
| Kai-Wen Lan | Number theory, algebraic geometry, and their applications. |
| Tyler Lawson | Algebraic topology, K-theory. |
| William Leeb | Applied mathematics, computational harmonic analysis, signal and image processing, data analysis. |
| Gilad Lerman | Computational harmonic analysis, machine learning, data analysis and modeling, computer vision. |
| Svitlana Mayboroda | Analysis, partial differential equations. |
| Richard McGehee | Dynamical systems, applied math. |
| Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |
| Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Jonathan Rogness | Topology, mathematics education, geometry. |
| Arnd Scheel | Dynamical systems, partial differential equations, applied math. |
| Arnab Sen | Probability theory, random matrices, spectral graph theory. |
| Daniel Spirn | Partial differential equations, applied mathematics. |
| Vladimir Sverak | Partial differential equations, fluid mechanics, ordinary differential equations. |
| Alexander Voronov | Mathematical physics, algebraic topology, algebra, algebraic geometry. |
| Peter Webb | Representation theory, group theory, algebraic computation. |
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Undergraduate Research Opportunities Program (UROP)
Undergraduate Research Opportunities Program (UROP)
| Name | Research area |
|---|---|
| Anar Akhmedov | Knot theory, low dimensional topology, symplectic topology, algebra, algebraic geometry. |
| Erkao Bao | Symplectic geometry, contact geometry, machine learning. |
| Christine Berkesch | Algebraic geometry, commutative algebra. |
| Dmitriy Bilyk | Analysis, discrepancy theory, approximation, probability. |
| Sergey Bobkov | Probability theory, analysis, convex geometry, Sobolev-type inequalities. |
| Jeff Calder | Partial differential equations, numerical analysis, applied probability, machine learning, image processing and computer vision. |
| Carme Calderer | Applied mathematics, continuum mechanics, soft condensed matter physics and materials science, with emphasis on liquid crystals, ferroic materials, partial differential equations and calculus of variations. |
| Max Engelstein | Harmonic analysis, partial differential equations, geometric measure theory and the calculus of variations. |
| Dihua Jiang | Automorphic forms, L-functions, number theory, harmonic analysis, representation theory. |
| Markus Keel | Differential equations (partial and ordinary differential equations); analysis; applications involving linear algebra and probability to areas such as finance, computer science, and physics. |
| Ru-Yu Lai | Inverse problems, partial differential equations, analysis, applied math. |
| Kai-Wen Lan | Number theory, algebraic geometry, and their applications. |
| Tyler Lawson | Algebraic topology, K-theory. |
| William Leeb | Applied mathematics, computational harmonic analysis, signal and image processing, data analysis. |
| Gilad Lerman | Computational harmonic analysis, machine learning, data analysis and modeling, computer vision. |
| Svitlana Mayboroda | Analysis, partial differential equations. |
| Richard McGehee | Dynamical systems, applied math. |
| Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |
| Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Jonathan Rogness | Topology, mathematics education, geometry. |
| Arnd Scheel | Dynamical systems, partial differential equations, applied math. |
| Arnab Sen | Probability theory, random matrices, spectral graph theory. |
| Daniel Spirn | Partial differential equations, applied mathematics. |
| Vladimir Sverak | Partial differential equations, fluid mechanics, ordinary differential equations. |
| Alexander Voronov | Mathematical physics, algebraic topology, algebra, algebraic geometry. |
| Li Wang | Numerical partial differential equations, applied math. |
| Peter Webb | Representation theory, group theory, algebraic computation. |