Director of CAM, Interim Department Head of MAT, Chair Professor
General area of scientific and engineering computing including parallel algorithms and high performance software for linear and nonlinear partial differential equations, domain decomposition methods, multigrid methods, numerical linear algebra, PDE constrained optimizations, inverse problems, stochastic partial differential equations, computational fluid dynamics, fluid-structure interactions, computational biomechanics, and parallel processing.
Random Matrix Theory, Orthogonal Polynomials and Special Functions, Painleve Transcendents and Integrable Systems, Random Matrices Applied to Wireless Communications and Moduli Spaces in QCD, Asymptotic Theory of Large Random Matrices
General areas: probability and statistics, functional analysis, mathematical physics. Specific fields: spin glasses, random matrices, (noncommutative) martingale/functional inequalities, free probability, approximation properties of groups and operator algebras, application to data science and theoretical computer science, etc
Parallel algorithms and high performance software for linear and nonlinear partial differential equations Computational fluid dynamics (Microfluidics, Biofluid dynamics, Geophysical flows) Heterogeneous computing (GPU)