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. |
| Ben Brubaker | Number theory, automorphic forms, combinatorial representation theory, L-functions. |
| 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. |
| Paul Carter |
Dynamical systems, nonlinear waves, partial differential equations, singular perturbations, applied mathematics, pattern formation. |
| Wei-Kuo Chen | Probability theory, mathematical physics. |
| 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, applied mathematics. |
| 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. |
| Gregg Musiker | Combinatorics, representation theory. |
| Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |
| Andrew Odlyzko | Number theory, combinatorics, statistics and economics. |
| Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Peter Polacik | Partial differential equations, dynamical systems, ordinary differential equations. |
| Vic Reiner | Combinatorics. |
| 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 euations. |
| 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. |
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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. |
| Ben Brubaker | Number theory, automorphic forms, combinatorial representation theory, L-functions. |
| 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. |
| Paul Carter |
Dynamical systems, nonlinear waves, partial differential equations, singular perturbations, applied mathematics, pattern formation. |
| Wei-Kuo Chen | Probability theory, mathematical physics. |
| 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, applied mathematics. |
| 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. |
| Gregg Musiker | Combinatorics, representation theory. |
| Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |
| Andrew Odlyzko | Number theory, combinatorics, statistics and economics. |
| Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Peter Polacik | Partial differential equations, dynamical systems, ordinary differential equations. |
| Vic Reiner | Combinatorics. |
| 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 euations. |
| Alexander Voronov | Mathematical physics, algebraic topology, algebra, algebraic geometry. |
| Peter Webb | Representation theory, group theory, algebraic computation. |
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Research Experience for Undergraduates (REU)
Research Experience for Undergraduates (REU)
| Name | Research area |
|---|---|
| Erkao Bao | Symplectic geometry, contact geometry, machine learning. |
| Sergey Bobkov | Probability theory, analysis, convex geometry, Sobolev-type inequalities. |
| Ben Brubaker | Number theory, automorphic forms, combinatorial representation theory, L-functions. |
| 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. |
| Paul Carter | Dynamical systems, nonlinear waves, partial differential equations, singular perturbations, applied mathematics, pattern formation. |
| Kai-Wen Lan | Number theory, algebraic geometry, and their applications. |
| Gilad Lerman | Computational harmonic analysis, machine learning, data analysis and modeling, computer vision. |
| Svitlana Mayboroda | Analysis, partial differential equations. |
| Gregg Musiker | Combinatorics, representation theory. |
| Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Vic Reiner | Combinatorics. |
| Arnd Scheel | Dynamical systems, partial differential equations, applied math. |
| Daniel Spirn | Partial differential equations, applied mathematics. |
| Alexander Voronov | Mathematical physics, algebraic topology, algebra, algebraic geometry. |
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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. |
| Ben Brubaker | Number theory, automorphic forms, combinatorial representation theory, L-functions. |
| 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. |
| Paul Carter |
Dynamical systems, nonlinear waves, partial differential equations, singular perturbations, applied mathematics, pattern formation. |
| Wei-Kuo Chen | Probability theory, mathematical physics. |
| 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, applied mathematics. |
| 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. |
| Gregg Musiker | Combinatorics, representation theory. |
| Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |
| Andrew Odlyzko | Number theory, combinatorics, statistics and economics. |
| Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Peter Polacik | Partial differential equations, dynamical systems, ordinary differential equations. |
| Vic Reiner | Combinatorics. |
| 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 euations. |
| 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. |
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Undergraduate Research Scholarships (URS)
Undergraduate Research Scholarships (URS)
| 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. |
| Ben Brubaker | Number theory, automorphic forms, combinatorial representation theory, L-functions. |
| 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. |
| Paul Carter |
Dynamical systems, nonlinear waves, partial differential equations, singular perturbations, applied mathematics, pattern formation. |
| Wei-Kuo Chen | Probability theory, mathematical physics. |
| 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, applied mathematics. |
| Kai-Wen Lan | Number theory, algebraic geometry, and their applications. |
| Tyler Lawson | Algebraic topology, K-theory. |
| 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. |
| Gregg Musiker | Combinatorics, representation theory. |
| Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |
| Andrew Odlyzko | Number theory, combinatorics, statistics and economics. |
| Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |
| Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |
| Peter Polacik | Partial differential equations, dynamical systems, ordinary differential equations. |
| Vic Reiner | Combinatorics. |
| 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 euations. |
| 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. |