Math Faculty Research Areas
Research Interests:
Applied analysis and scientific computing for nonlinear systems of partial differential equations, especially free-surface problems in fluid dynamics.
Research Interests:
Algebraic Combinatorics, Representation Theory, and Complexity Theory
Research Interests:
Functional Analysis, C* Algebras, and the Theory of Group Representations
Research Interests:
Homological Mirror Symmetry, Landau-Ginzburg Models, Algebraic Geometry, Symplectic Geometry.
Research Interests:
Algebraic Combinatorics, Noncommutative Algebra, Symmetric Functions, Hopf Algebras, Enumerative Combinatorics, Invariant Theory
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
Research Interests:
Biomathematics, Dynamical Systems, Ordinary and Partial Differential Equations
Research Interests:
Geometry, Optics, and Computer Vision
Research Interests:
Probability Theory and its Applications to Analysis, Combinatorics, Wavelets, and the Analysis of Algorithms
Research Interests:
Applied Dynamical Systems, Mathematical Neuroscience
Research Interests:
Analysis of Partial Differential Equations, Fluid Dynamics, Stochastic Processes
Research Interests:
Applied PDEs and numerical analysis, in particular homogenization theory, inverse problems, and related asymptotic and numerical methods
Research Interests:
Applied Mathematics, Numerical Analysis, Symbolic Computation, Differential Geometry, Modeling of Nonlinear Optical Phenomena, Mathematical Physics
Research Interests:
Applied Mathematics, Computed Tomography, Numerical Analysis of Function Reconstruction, Signal Processing, Combinatorics
Research Interests:
Probabilistic Combinatorics
Research Interests:
Discrete Optimization, Operations Research, Graph Theory and its applications, Biostatistics
Research Interests:
Partial Differential Equations, Scientific Computing and Applied Mathematics
Research Interests:
Stochastic Calculus, Large Deviation Theory, Theoretical Statistics, Data Network Modeling and Numerical Analysis
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
Research Interests:
Partial differential equations, particularly the behavior of nonlinear waves in systems arising in hydrodynamics, optics and cell biology
Research Interests:
Applied Analysis, Applied Geometry, Multiscale Methods