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, spectral theory, 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, mathematical physics, 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
