Faculty
- Algebraic Combinatorics
- Partial Differential Equations
- Multiscale Methods
- Scientific Computing/Numerical Analysis
- Partial Differential Equations
- Fluid Dynamics
- Mathematical Physics/Modeling
- Commutative Algebra
- Algebraic Geometry
- Algebraic K-Theory
- Differential Geometry
- Probability/Statistics
- Stochastic Control
Associate Professor; Middle Math Education Program Coordinator
613 Snow / 341 JRP
- Middle and Secondary Mathematics Education
- Commutative Algebra
- Algebraic Geometry
- Numerical Analysis
- Scientific Computing
- Numerical PDEs
- Algebraic Geometry
- Mathematics Physics
Associate Professor; Director of Graduate Admissions
611 Snow
- Nonlinear Partial Differential Equations
- Mathematical Physics
- Applied Mathematics
- Commutative Algebra
- Algebraic Geometry
- Number Theory
- Commutative Algebra
- Homological Algebra
- Algebraic Geometry
- Dynamics of Poisson-Nernst-Planck Systems and Ion Channel Problems
- Center Manifold Theory
- Geometric Singular Perturbation Theory
- Probability
- Mathematical Physics
- Algebraic Obstruction Theory
- Commutative Algebra
- Partial Differential Equations
- Mathematical Physics
- Integrable Systems
- Combinatorics
- Algebraic Geometry
- Discrete Geometry
- Stochastic Control
- Stochastic Processes
- Numerical Linear Algebra, Matrix Computations
- Numerical Analysis of PDEs, Adaptive Finite Element Method
- Scientific Computing
Mathematics Black-Babcock Distinguished Professor
556 Snow
- Multiparameter Stochastic Processes
- Two-parameter Martingales
- Stochastic Analysis
- Stability of Waves
- Dynamical Systems
- Ordinary and Partial Differential Equations
Professor, Mathematics; Courtesy Professor EECS and AE; Investigator ITTC; Chancellors Club Teaching Professor
503 Snow
- Probability
- Statistics
- Stochastic Control
- Set Theoretic Topology
Professor, Mathematics and Courtesy Professor, Music
512 Snow
- Algebraic Geometry
- Algebraic Topology
- Commutative Algebra
- Harmonic Analysis
- Partial Differential Equations
- Partial Differential Equations
- Infinite-dimensional Hamiltom Systems
- Nonlinear Wave Equations
- Partial Differential Equations
- Mathematical Physics
- Harmonic Analysis
- Mathematical Statistics
- Information Theory
- Probability
- Scientific Computing
- Numerical Analysis
- Applied Mathematics
- Applied Mathematics
- Numerical Analysis
- Numerical Methods for PDEs
- Numerical Linear Algebra
- Scientific Computing
- Matrix Theory and Analysis
- Malliavin Calculus
- Stein's Method
- Free Probability
Emeritus
- Several Complex Variables
- Complex Dynamics
- Mathematical Scientific Visualization

- Differential Geometry
- General Relativity Theory
- Dynamical Systems
- Mathematical Physics
- Fourier Analysis
- Applications in Partial Differential Equations/Signal Analysis/Biology