Numerical analysis. Approximation theory. Splines.
Fluid mechanics. Non-linear waves. Partial differential equations.
Mechanics of deformable solids and structural optimization. Homogenization. Calculus of variations.
Inverse problems. Numerical methods. Optimization.
Computational methods and optimal design for plasmonic structures and metamaterials. Optimal design of photonic structures and devices. Data analysis with physical constraints. Inverse problems in acoustics. Compressive sensing in inverse problems.
Numerical Methods for PDEs. Scientific computing. Applied mathematics. Mathematical modeling with applications to Material Science and Biology.
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.
Composite materials. Cloaking. Optics. Electromagnetic theory. Statistical mechanics.
Partial Differential Equations. Optimization and Control. Graph Theory. Machine Learning.
Geometric analysis, particularly its application to problems in mechanics and physics.
Stochastic computations. Uncertainty quantification. Optimal design under uncertainty. High-order numerical methods. Multivariate approximation theory. Data assimilation.
Mathematical finance. Material science. Fluid mechanics. Numerical methods.