Faculty
Faculty
Biophysics, Computational Methods, Partial Differential Equations
Ergodic theory, probability, harmonic analysis, operator theory
Dynamical Systems and Ergodic Theory, Teaching of College Mathematics
PDEs, Semiclassical Analysis, Mathematical Physics, Quantum Mechanics, Differential Geometry
Representation Theory, Mathematical Physics, Algebraic Combinatorics, Number Theory, Algebraic Geometry...
Partial Differential Equations, Spectral Geometry, Microlocal Analysis, Quantum Chaos
Algebraic geometry, Topological Recursion, Hitchin systems
Math and statistics education, topology of 3-dimensional manifolds, mathematical modeling of disease
Computational and applied mathematics, cardiovascular physiology, fluid-structure interaction, scientific computing...
Analysis based fast algorithms, integral equations, potential theory, scientific computing, and their applications...
Numerical optimization, computational geometry and imaging, machine learning and their applications in biology and medicine.
Representation Theory
Mathematical biology, mathematical modeling of biochemical systems, especially blood coagulation, and computational biofluid dynamics
Partial differential equations, microlocal analysis
Computational simulation of multiscale, multiphysics systems. Data-driven constitutive relations for hyperelastic materials...
Geometric data analysis, computational optimal transport, numerical analysis and approximation theory, applications in biology and medicine
Applied Mathematics, Stochastic Differential Equations, Dynamical Systems
Low-dimensional topology, representation theory, homological algebra, category theory
Physical Applied Mathematics, Soft and Active Matter, Hydrodynamic Quantum Analogs, Fluid Mechanics...
Algebraic and Differential Geometry, Topology, Mathematical Physics
Partial differential equations, harmonic analysis, geometric analysis, stochastic analysis
I work in the area of partial differential equations