# Faculty

# Faculty

Biology, interface problems, spatial modeling, algorithm development, making tools for scientific computing and visualization

Ergodic theory, probability, harmonic analysis, operator theory

Geometric analysis, nonlinear partial differential equations

Dynamical systems and ergodic theory, mathematics education

Applied mathematics, applied analysis, fluid dynamics

Partial differential equations, semiclassical analysis, mathematical physics, quantum mechanics, differential geometry

Representation theory, mathematical physics, combinatorics, number theory, algebraic geometry, low-dimensional topology, mathematical biology, quantitative finance

Partial differential equations, spectral geometry, microlocal analysis, quantum chaos

Algebraic geometry, topological recursion, Hitchin systems

Mathematical modeling and experimental data analytics, applications to chromosome biology, respiratory infection and immune responses, mucosal membranes, drug delivery, and medicine

Math and statistics education, topology of 3-dimensional manifolds, mathematical modeling of disease

Computational and applied mathematics, cardiovascular physiology, fluid-structure interaction, high-performance scientific computing

Analysis based fast algorithms, integral equations, potential theory, scientific computing, fluid dynamics, molecular mechanics, quantum chemistry, data analysis

Numerical optimization, computational geometry and imaging, machine learning and their applications in biology and medicine

Mathematical biology, mathematical modeling of biochemical systems, especially blood coagulation, and computational biofluid dynamics

Image processing, sparse signal recovery, numerical analysis and optimization algorithms

Partial differential equations and probabilistic models from fluid dynamics, material science, statistical and optical physics, and quantum mechanics

Experimental, theoretical, and computational fluid dynamics, random phenomena, and stochastic partial differential equations

Partial differential equations, microlocal analysis

Computational simulation of multiscale, multiphysics systems, data-driven constitutive relations for hyperelastic materials, nonlinear mode reduction, information geometry for reduced stochastic models

Geometric data analysis, computational optimal transport, numerical analysis and approximation theory, applications in biology and medicine

Applied mathematics, stochastic differential equations, dynamical systems

Partial differential equations, continuum mechanics

Low-dimensional topology, representation theory, homological algebra, category theory

Mathematical physics, representation theory, topology and foliation theory

Physical applied mathematics, soft and active matter, hydrodynamic quantum analogs, nonequilibrium physics, fluid mechanics

Algebraic and differential geometry, topology, mathematical physics

Representation theory

Topology, combinatorics, representation theory

Mathematical physics, algebraic geometry, representation theory, combinatorics, number theory, complex analysis