Partial Differential Equations
- Numerical Analysis
- Scientific Computing
- Numerical PDEs
- Nonlinear Partial Differential Equations
- Dynamics of Poisson-Nernst-Planck Systems and Ion Channel Problems
- Center Manifold Theory
- Geometric Singular Perturbation Theory
- Stability of Waves
- Dynamical Systems
- Ordinary and Partial Differential Equations
- Harmonic Analysis
- Partial Differential Equations
Professor, Interim Chair, Economics
Snow Hall, room #525
- Partial Differential Equations
- Infinite-dimensional Hamiltom Systems
- Nonlinear Wave Equations
- Partial Differential Equations
- Mathematical Physics
- Harmonic Analysis
Associate Vice Chancellor, University Distinguished Professor
Snow Hall, room #546
- Fourier Analysis
- Applications in Partial Differential Equations/Signal Analysis/Biology
- Applied Mathematics
- Numerical Analysis
- Numerical Methods for PDEs
