# Research Faculty

**Todd J. Arbogast**arbogast@math.utexas.edu: Research interests include Modeling and Numerical Analysis of Partial Differential Equations and Scientific Computing.**Luis Caffarelli**caffarel@math.utexas.edu: Research interests include Harmonic Analysis, Nonlinear Partial Differential Equations, Free Boundary Problems, and Homogenization.**Thomas Chen**tc@math.utexas.edu: Research area includes analysis and mathematical physics, in particular spectral and dynamical problems in quantum field theory, random SchrÃ¶dinger operators, macroscopic scaling limits of quantum dynamics, and Hamiltonian dynamics**Matias Delgadino**matias.delgadino@utexas.edu: Nonlinear PDE, self-organization phenomena.**Bjorn Engquist**engquist@math.utexas.edu: Research interests include Computational Mathematics, Computational Science, Numerical Analysis, and Applied Mathematics.**Irene Martinez Gamba**gamba@math.utexas.edu: Research interests include Applied Mathematics, Partial Differential Equations.**Oscar Gonzalez**og@math.utexas.edu: Research interests include Computational and Applied Mathematics, Mechanics, and modeling the mechanical properties of DNA at various length scales.**Maria Pia Gualdani**gualdani@math.utexas.edu: Research interests include Applied Partial Differential Equations, Kinetic theory, Nonlinear Parabolic Equations, Mean Field Games**Hans Koch**koch@math.utexas.edu: Research interests include Mathematical Physics, Statistical Mechanics, Dynamical Systems.**Per-Gunnar Martinsson**pgm@ices.utexas.edu: Research interests include Scientific Computation, Numerical PDEs, Numerical Linear Algebra, Large Data Sets.**Joe Neeman**jneeman@math.utexas.edu: Research interests include Probability and its Applications.**Charles Radin**radin@math.utexas.edu: Research interests include Mathematical Physics and Discrete Geometry.**Lorenzo Sadun**sadun@math.utexas.edu: Research interests include quantum mechanics, nonperiodic tilings, adiabatic limits of wave equations, and other problems of bith physical and geometric interest.**Thibaud O. Taillefumier**taillef@math.utexas.edu: Research interests include theoretical neuroscience, design principles of neural networks, optimization theory, stochastic dynamics, information theory, non-equilibrium thermodynamics.**Ngoc Mai Tran**ntran@math.utexas.edu: Research interests include tropical geometry, probability, combinatorics, economics and neuroscience.**Yen-Hsi Richard Tsai**ytsai@math.utexas.edu: Research interests include Computational Mathematics, Computational Science, Numerical Analysis, and Applied Mathematics.**Alexis Vasseur**vasseur@math.utexas.edu: Research interests include Partial Differential Equations, Navier-Stokes equations, Hyperbolic conservation laws, Kinetic equations, and Hydrodynamic limits.**Mikhail M. Vishik**vishik@math.utexas.edu: Research interests include Mathematical Problems of Fluid Dynamics, and Partial Differential Equations.