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 |
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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. |
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 |
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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. |
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 |
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Erkao Bao | Symplectic geometry, contact geometry, machine learning. |
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. |
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 |
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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. |
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. |
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. |
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. |