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Alejandro Aceves
Professor

• Applied mathematics
• Nonlinear wave phenomena
• Dynamical systems
• Nonlinear optics and photonics
• Climate modeling

• 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

• 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

• Scientific computation
• Partial differential equations
• Integral equations
• Structural biology
• N-body problems

• 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

• Scientific computation
• Partial differential equations
• Fluid dynamics
• Modeling and simulation of complex coupled problems

• Scientific computation
• Adaptive finite element methods
• Reaction-diffusion systems in one, two, and three space dimensions

• Applied mathematics
• Multi-scale modeling and analysis
• Nano-scale textured surfaces in materials science
• Viscous and viscoelastic continuum analysis, thin-film analysis, asymptotic theory

• 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

• Applied mathematics
• Nonlinear waves
• Statistical mechanics
• Wave turbulence

Brandilyn Stigler
Associate Professor

• Applied mathematics
• Mathematical biology
• Computational algebra (Groebner bases)
• Gene regulatory networks

• Scientific computation
• Boundary integral equations
• Computational electromagnetics
• Optics
• Fluid mechanics

• 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

• Numerical linear algebra
• Model reduction
• Forward and inverse PDE problems
• PDE discretization methods and homogenization
• Machine learning

• Scientific Computation
• Numerical linear algebra and applications
• Computational material science