# 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.

###
+
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. |

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. |

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. |

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. |

Students in the actuarial science specialization can also consider Katherine Kovarik, Gary Hatfield, Breanne Richins, Rina Ashkenazi, and Doreen Vescelius for capstone mentors.

Students in the math education specialization can also consider Shelley Kandola and Mike Weimerskirch as capstone mentors.

###
+
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. |

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. |

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. |

###
+
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. |

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. |

Peter Olver | Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics. |

Hans Othmer | Applied mathematics, mathematical biology, dynamical systems. |

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. |

###
+
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 | |

Carme Calderer | |

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. |

Andrew Odlyzko | Number theory, combinatorics, statistics and economics. |

Peter Olver | |

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. |

###
+
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 | |

Carme Calderer | |

Max Engelstein | |

Dihua Jiang | Automorphic forms, L-functions, number theory, harmonic analysis, representation theory. |

Markus Keel | |

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. |

Duane Nykamp | Applied math, mathematical biology, mathematical neuroscience. |

Andrew Odlyzko | Number theory, combinatorics, statistics and economics. |

Peter Olver | |

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. |