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Department Faculty	Areas of Expertise
Alejandro Aceves Professor	Applied mathematics Nonlinear wave phenomena Dynamical systems Nonlinear optics and photonics Climate modeling
Vladimir Ajaev Professor	Applied mathematics Asymptotic and perturbation methods Fluid mechanics Materials science Phase transformations
Andrea Barreiro Associate Professor, Graduate Advisor	Applied mathematics Computational mathematics Neuroscience, and neural networks Fluid dynamics
Difeng Cai Assistant Professor	Scientific computation Machine learning and deep learning Partial differential and integral equations Adaptive finite element methods Numerical linear algebra
Wei Cai Clements Chair Professor	Scientific computation Machine learning Stochastic, and deterministic numerical methods Quantum phenomena Electromagnetics Wave scattering in random media
Thomas Carr Associate Professor	Applied mathematics Asymptotic and perturbation methods Bifurcation and dynamical systems theory Coupled oscillators Laser instabilities Epidemiology
Mohamad Kazem Shirani Faradonbeh Assistant Professor	Reinforcement Learning Sequential Decision-making Statistical Learning Theory High-dimensional Statistics Mathematical Optimization Healthcare Management Stochastic Analysis Adaptive and Optimal Control Random Graphs and Networks Stochastic Processes Time-series Analysis Learning Analytics Bayesian Statistical Inference Intelligent Tutoring Systems
Weihua Geng Associate Professor	Scientific computation Partial differential equations Integral equations Structural biology N-body problems
Thomas Hagstrom Professor	Scientific computation Time-domain wave propagation Compressible flows
Kathryn Hedrick Assistant Professor	Scientific computation Neuroscience
Barry Lee Associate Professor	Scientific computation Partial differential and integral equations Computational linear algebra Multigrid methods Uncertainty quantification Coarse-graining techniques
A.J. Meir Professor	Scientific computation Partial differential equations Fluid dynamics Modeling and simulation of complex coupled problems
Peter Moore Professor	Scientific computation Adaptive finite element methods Reaction-diffusion systems in one, two, and three space dimensions
Scott Norris Associate Professor	Applied mathematics Multi-scale modeling and analysis Nano-scale textured surfaces in materials science Viscous and viscoelastic continuum analysis, thin-film analysis, asymptotic theory
Daniel Reynolds Professor, Department Chair	High-performance parallel scientific computation Simulation of complex coupled problems Multirate time integration Iterative linear and nonlinear solvers Climate simulations Plasma physics Astrophysics/cosmology Materials science
Benno Rumpf Associate Professor	Applied mathematics Nonlinear waves Statistical mechanics Wave turbulence
Brandilyn Stigler Associate Professor	Applied mathematics Mathematical biology Computational algebra (Groebner bases) Gene regulatory networks
Johannes Tausch Professor	Scientific computation Boundary integral equations Computational electromagnetics Optics Fluid mechanics
Sheng Xu Associate Professor	Scientific Computation Fluid-structure interaction Fluid mechanics and aerodynamics Biological flows Supersonic and hypersonic turbulence Flow control Fluid dynamics of nature's flyers and swimmers
Mikhail Zaslavsky Assistant Professor	Numerical linear algebra Model reduction Forward and inverse PDE problems PDE discretization methods and homogenization Machine learning
Yunkai Zhou Associate Professor	Scientific Computation Numerical linear algebra and applications Computational material science

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