

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

Department of Mathematics 



Department of Mathematics 


Algebraic Combinatorics, Representation Theory, and Complexity Theory 
Department of Mathematics 


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

Department of Mathematics 


Homological Mirror Symmetry, LandauGinzburg Models, Algebraic Geometry, Symplectic Geometry.

Department of Mathematics 



Department of Mathematics 



Department of Mathematics 



Department of Mathematics 


Computational Fluid Dynamics, Free Boundary Problems 
Department of Mathematics 



Department of Mathematics 



Department of Mathematics 


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

Department of Mathematics 


Function Theory and Operator Theory, Harmonic Analysis, Potential Theory

Department of Mathematics 


Biomathematics, Dynamical Systems, Ordinary and Partial Differential Equations

Department of Mathematics 


Geometry, Optics, and Computer Vision

Department of Mathematics 


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

Department of Mathematics 



Department of Mathematics 


Algebraic Combinatorics and Algebraic Geometryspecifically 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. 
Department of Mathematics 


Operator Theory, C*algebras, Complex Analysis, System Theory, and NonCommutative Function Theory

Department of Mathematics 



Department of Mathematics 



Department of Mathematics 



Department of Mathematics 


Electromagnectic wave propagation in composite media, optimization and inverse problems

Department of Mathematics 


Applied Dynamical Systems, Mathematical Neuroscience

Department of Mathematics 


Applied PDEs, Cloaking and Mathematical Physics 
Department of Mathematics 


Algebraic Combinatorics

Department of Mathematics 


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

Department of Mathematics 



Department of Mathematics 



Department of Mathematics 



Department of Mathematics 


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

Department of Mathematics 


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

Department of Mathematics 



Department of Mathematics 



Department of Mathematics 


Probabilistic Combinatorics

Department of Mathematics 


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

Department of Mathematics 


Partial Differential Equations, Scientific Computing and Applied Mathematics 
Department of Mathematics 


Homotopy Theory, Operad Theory, Quantum Mechanics, Quantum Computing

Department of Mathematics 


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



Department of Mathematics 



Department of Mathematics 



Department of Mathematics 



Department of Mathematics 


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

Department of Mathematics 


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

Department of Mathematics 


Dynamical Systems, Neurodynamics

Department of Mathematics 



Department of Mathematics 


Applied Analysis, Applied Geometry, Multiscale Methods

Department of Mathematics 



Department of Mathematics 



Department of Mathematics 