Mathematical biology. Epidemiology. Cancer. Theoretical ecology.
Numerical analysis. Approximation theory. Splines.
Fluid mechanics. Non-linear waves. Partial differential equations.
Mathematical modeling and analysis of neural systems.
Mechanics of deformable solids and structural optimization. Homogenization. Calculus of variations.
Inverse problems. Numerical methods. Optimization.
Numerical Methods for PDEs. Scientific computing. Applied mathematics. Mathematical modeling with applications to Material Science and Biology.
Nonlinear PDE, calculus of variations, homogenization, free boundary problems.
Fluid dynamics of platelet aggregation and coagulation during hemostasis (normal blood clotting) and thrombosis (pathological blood clotting within blood vessels). Numerical analysis. Scientific computing.
Fluid flow through sea ice. Remote sensing of sea ice. Statistical mechanics of electrorheological fluids.
Inverse problems for elliptic and hyperbolic equations. Cloaking. Numerical analysis.
Low Reynolds number fluid dynamics. Rheology of complex fluids. Soft matter suspensions. Math Biology. Applied mathematics.
Mathematical Biology, Probability and Stochastic Processes, Applied Mathematics.
Composite materials and metamaterials. Cloaking. Optics. Electromagnetic theory. Statistical mechanics. Networks.
Numerical Analysis. Scientific Computing. Approximation Algorithms.
Partial Differential Equations. Optimization and Control. Graph Theory. Machine Learning.
Geometric analysis, particularly its application to problems in mechanics and physics.
Deep Learning, Stochastic Optimization, and Scientific Computing.
Bei Wang Phillips (Adjunct)
Computational topology, topological data analysis, applied topology, computational geometry, data visualization.
Mathematical finance. Material science. Fluid mechanics. Numerical methods.