| Algebra, Combinatorics and Geometry |
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Inverse Spectral Geometry |
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Commutative Algebra |
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Representations of Lie Algebras and Superalgebras |
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Differential Geometry |
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Noncommutative Algebra and Noncommutative Algebraic Geometry |
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| Applied Mathematics |
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Inverse Problems and Wave Propagation |
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Computerized Tomography, Integral Geometry |
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Partial Differential Equations |
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Inverse problems in medical imaging, PDE optimal control |
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Hamiltonian Dynamical Systems |
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Partial Differential Equations |
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Dynamical Systems and Scientific Computing |
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| Computational Mathematics |
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Numerical Methods for Deterministic and Random Differential Equations |
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Numerical Solution of Ordinary and Partial Differential Equations |
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Numerical Linear Algebra, Numerical Solution of Ordinary Differential Equations, Scientific Computing |
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Computational Fluid Dynamics |
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Scientific Computing, Finite volume and finite element methods |
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Optimization |
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Numerical Linear Algebra, Random Matrix Theory, Radial Basis Function Approximation |
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| Data Science |
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Online Algorithm, Dimensionality Reduction, Nonlinear Manifold Learning, Compressed Sensing, Numerical Linear Algebra, Reduced Order Modeling, High Performance Computing |
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Computational Neuroscience |
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Machine Learning and Big Data |
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Computational Neuroscience |
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Dimensionality reduction, Subspace Clustering, Signal Processing, Approximation Theory |
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| Mathematical Biology |
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Population Dynamics |
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Population Ecology, Biofilms |
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Epidemiology |
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Neuronal Dynamics |
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Computational Neuroscience |
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Stochastic disease dynamics and control |
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| Mathematics Education |
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Mathematical Education of Teachers |
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Elementary (preK-4) and Middle (4-8) Grades Mathematics Education |
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| Probability and Statistics |
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Probability Theory and Stochastic Processes |
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Mathematical Statistics |
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Survival Analysis and Statistical Computing |
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