# Math Faculty Research Areas

## David M. Ambrose, PhD

### Research Interests:

Applied analysis and scientific computing for nonlinear systems of partial differential equations, especially free-surface problems in fluid dynamics.

## Jonah Blasiak, PhD

### Research Interests:

Algebraic Combinatorics, Representation Theory, and Complexity Theory

## Robert P. Boyer, PhD

### Research Interests:

Functional Analysis, C* Algebras, and the Theory of Group Representations

## Patrick Clarke, PhD

### Research Interests:

Homological Mirror Symmetry, Landau-Ginzburg Models, Algebraic Geometry, Symplectic Geometry.

## Pavel Grinfeld, PhD

### Research Interests:

Application of the Differential Calculus of moving surfaces and Variational Calculus, with heavy emphasis on computation, to problems in Bioengineering, low temperature Physics, Quantum Mechanics and Elasticity

## Yixin Guo, PhD

### Research Interests:

Biomathematics, Dynamical Systems, Ordinary and Partial Differential Equations

## R. Andrew Hicks, PhD

### Research Interests:

Geometry, Optics, and Computer Vision

## Pawel Hitczenko, PhD

### Research Interests:

Probability Theory and its Applications to Analysis, Combinatorics, Wavelets, and the Analysis of Algorithms

## Dmitry Kaliuzhnyi-Verbovetskyi, PhD

### Research Interests:

Operator Theory, C*-algebras, Complex Analysis, System Theory, and Non-Commutative Function Theory

## Georgi S. Medvedev, PhD

### Research Interests:

Applied Dynamical Systems, Mathematical Neuroscience

## Jennifer Morse, PhD

### Research Interests:

Algebraic Combinatorics

## Shari Moskow, PhD

### Research Interests:

Applied PDEs and numerical analysis, in particular homogenization theory, inverse problems, and related asymptotic and numerical methods

## Ronald K. Perline, PhD

### Research Interests:

Applied Mathematics, Numerical Analysis, Symbolic Computation, Differential Geometry, Modeling of Nonlinear Optical Phenomena, Mathematical Physics

## Marci A. Perlstadt, PhD

### Research Interests:

Applied Mathematics, Computed Tomography, Numerical Analysis of Function Reconstruction, Signal Processing, Combinatorics

## Eric J. Schmutz, PhD

### Research Interests:

Probabilistic Combinatorics

## Li Sheng, PhD

### Research Interests:

Discrete Optimization, Operations Research, Graph Theory and its applications, Biostatistics

## Gideon Simpson, PhD

### Research Interests:

Partial Differential Equations, Scientific Computing and Applied Mathematics

## Justin R. Smith, PhD

### Research Interests:

Homotopy Theory, Operad Theory, Quantum Mechanics, Quantum Computing

## Xiaoming Song, PhD

### Research Interests:

Stochastic Calculus, Large Deviation Theory, Theoretical Statistics, Data Network Modeling and Numerical Analysis

## Hugo Woerdeman, PhD

### Research Interests:

Matrix and Operator Theory, Systems Theory, Signal and Image Processing, and Harmonic Analysis. Currently he is working on Multivariable Interpolation and Factorization problems, and Matrix Theory problems arising in Quantum Computing

## J. Douglas Wright, PhD

### Research Interests:

Partial differential equations, particularly the behavior of nonlinear waves in systems arising in hydrodynamics, optics and cell biology

## Thomas P.-Y. Yu, PhD

### Research Interests:

Applied Analysis, Applied Geometry, Multiscale Methods