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Faculty Research

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


Jonah Blasiak, PhD
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Algebraic Combinatorics, Representation Theory, and Complexity Theory
Robert P. Boyer, PhD
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Functional Analysis, C* Algebras, and the Theory of Group Representations


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


Carlo Fazioli, PhD
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Computational Fluid Dynamics, Free Boundary Problems
Pavel Grinfeld, PhD
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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


Anatolii Grinshpan, PhD
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Function Theory and Operator Theory, Harmonic Analysis, Potential Theory


Yixin Guo, PhD
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Biomathematics, Dynamical Systems, Ordinary and Partial Differential Equations


R. Andrew Hicks, PhD
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Geometry, Optics, and Computer Vision


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


Ryan Kaliszewski, PhD
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Algebraic Combinatorics and Algebraic Geometry--specifically positivity results for generating polynomials. This includes the study of quiver polynomials and algebraic graph theory. I also have interests in some other areas of combinatorics.
Dmitry Kaliuzhnyi-Verbovetskyi, PhD
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Operator Theory, C*-algebras, Complex Analysis, System Theory, and Non-Commutative Function Theory


Hwan Yong Lee, PhD
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Electromagnectic wave propagation in composite media, optimization and inverse problems


Huilan Li, PhD
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Algebraic Combinatorics


Georgi S. Medvedev, PhD
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Applied Dynamical Systems, Mathematical Neuroscience


Taoufik Meklachi, PhD
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Inverse Problems
Jennifer Morse, PhD
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Algebraic Combinatorics


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


Ronald K. Perline, PhD
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Applied Mathematics, Numerical Analysis, Symbolic Computation, Differential Geometry, Modeling of Nonlinear Optical Phenomena, Mathematical Physics


Marci A. Perlstadt, PhD
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Applied Mathematics, Computed Tomography, Numerical Analysis of Function Reconstruction, Signal Processing, Combinatorics


Eric J. Schmutz, PhD
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Probabilistic Combinatorics


Li Sheng, PhD
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Discrete Optimization, Operations Research, Graph Theory and its applications, Biostatistics


Gideon Simpson, PhD
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Partial Differential Equations, Scientific Computing and Applied Mathematics
Justin R. Smith, PhD
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Homotopy Theory, Operad Theory, Quantum Mechanics, Quantum Computing


Xiaoming Song, PhD
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Stochastic Calculus, Large Deviation Theory, Theoretical Statistics, Data Network Modeling and Numerical Analysis
Hugo Woerdeman, PhD
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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
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Partial differential equations, particularly the behavior of nonlinear waves in systems arising in hydrodynamics, optics and cell biology


Dennis G. Yang, PhD
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Dynamical Systems, Neurodynamics


Thomas P.-Y. Yu, PhD
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Applied Analysis, Applied Geometry, Multiscale Methods


Aijun Zhang, PhD
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Dynamical Systems, Differential Equations and their Applications; Biomathematics