David M. Ambrose
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Applied analysis and scientific computing for nonlinear systems of partial differential equations, especially free-surface problems in fluid dynamics.
Robert P. Boyer
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Functional Analysis, C* Algebras, and the Theory of Group Representations
Patrick Clarke
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Homological Mirror Symmetry, Landau-Ginzburg Models, Algebraic Geometry, Symplectic Geometry.
Bo Dong
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Numerical analysis and scientific computing, in particular, discontinuous Galerkin methods, hybridizable finite element methods, and mixed finite element methods.
Simon Foucart
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Compressive Sensing; Approximation Theory, especially Spline Functions; Computational Mathematics; Applied and Classical Analysis.
Pavel Grinfeld
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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
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Function Theory and Operator Theory, Harmonic Analysis, Potential Theory
Yixin Guo
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Biomathematics, Dynamical Systems, Ordinary and Partial Differential Equations
R. Andrew Hicks
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Geometry, Optics, and Computer Vision
Pawel Hitczenko
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Probability Theory and its Applications to Analysis, Combinatorics, Wavelets, and the Analysis of Algorithms
Dmitry Kaliuzhnyi-Verbovetskyi
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Operator Theory, C*-algebras, Complex Analysis, System Theory, and Non-Commutative Function Theory
Hwan Yong Lee
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Electromagnectic wave propagation in composite media, optimization and inverse problems
Huilan Li
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Algebraic Combinatorics
Georgi S. Medvedev
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Applied Dynamical Systems, Mathematical Neuroscience
Andrey Melnikov
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System/Operator theory (especially theory of Vessels) and its applications to linear and non-linear differential equations, Scattering theory, Differential rings theory.
Jennifer Morse
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Algebraic Combinatorics
Shari Moskow
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Applied PDEs and numerical analysis, in particular homogenization theory, inverse problems, and related asymptotic and numerical methods
Ronald K. Perline
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Applied Mathematics, Numerical Analysis, Symbolic Computation, Differential Geometry, Modeling of Nonlinear Optical Phenomena, Mathematical Physics
Marci A. Perlstadt
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Applied Mathematics, Computed Tomography, Numerical Analysis of Function Reconstruction, Signal Processing, Combinatorics
David Scheinker
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Functional analysis and its application to the study of functions of several complex variables.
Eric J. Schmutz
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Probabilistic Combinatorics
Li Sheng
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Discrete Optimization, Operations Research, Graph Theory and its applications, Biostatistics
Justin R. Smith
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Homotopy Theory, Operad Theory, Quantum Mechanics, Quantum Computing
Hugo Woerdeman
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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
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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
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Dynamical Systems, Neurodynamics
Thomas P.-Y. Yu
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Applied Analysis, Applied Geometry, Multiscale Methods