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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