## Faculty

### Peter Alfeld

Numerical analysis. Approximation theory. Splines.

### Alexander Balk

Fluid mechanics. Non-linear waves. Partial differential equations.

### Andrej Cherkaev

Mechanics of deformable solids and structural optimization. Homogenization. Calculus of variations.

### Elena Cherkaev

Inverse problems. Numerical methods. Optimization.

### David C. Dobson

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.

### Yekaterina Epshteyn

Numerical Methods for PDEs. Scientific computing. Applied mathematics. Mathematical modeling with applications to Material Science and Biology.

### Aaron Fogelson

Fluid dynamics of platelet aggregation and coagulation during hemostasis (normal blood clotting) and thrombosis (pathological blood clotting within blood vessels). Numerical analysis. Scientific computing.

### Kenneth M. Golden

Fluid flow through sea ice. Remote sensing of sea ice. Statistical mechanics of electrorheological fluids.

### Fernando Guevara Vasquez

Inverse problems for elliptic and hyperbolic equations. Cloaking. Numerical analysis.

### Christel Hohenegger

Low Reynolds number fluid dynamics. Rheology of complex fluids. Soft matter suspensions. Math Biology. Applied mathematics.

### Graeme Milton

Composite materials. Cloaking. Optics. Electromagnetic theory. Statistical mechanics.

### Braxton Osting

Partial Differential Equations. Optimization and Control. Graph Theory. Machine Learning.

### Andrejs Treibergs

Geometric analysis, particularly its application to problems in mechanics and physics.

### Dongbin Xiu

Stochastic computations. Uncertainty quantification. Optimal design under uncertainty. High-order numerical methods. Multivariate approximation theory. Data assimilation.

### Jingyi Zhu

Mathematical finance. Material science. Fluid mechanics. Numerical methods.

Webmasters: Yekaterina Epshteyn and Fernando Guevara Vasquez.