Faculty Research Interests

U. Bader Analytic Group Theory
D. Bejleri Algebraic Geometry
P. Brosnan Algebraic Geometry
A. Gholampour Algebraic Geometry, Gromov-Witten and Donaldson-Thomas Invariants
W. Goldman Moduli of representations of discrete groups
T. Haines Automorphic Forms and Arithmetic Algebraic Geometry
N. Ramachandran Algebraic Geometry, Motives
J. M. Rosenberg K-Theory
J. A. Schafer (Emeritus) Commutative Algebra, Cohomology of Groups
A. Senger Homotopy Theory
H. Tamvakis Algebraic Geometry, Arakelov Theory, Schubert Calculus
L. C. Washington Algebraic Number Theory and Arithmetic Algebraic Geometry
B. Zavyalov Algebraic Geometry, p-Adic Geometry
C. Zickert Representation Varieties, Teichmüller Theory, Polylogarithms, Cluster Algebras, Hyperbolic Manifolds, Chern-Simons Theory

J. Adams (Emeritus) Representation Theory
R. Balan Applied Harmonic Analysis, Signal Processing
J. J. Benedetto (Emeritus) Wavelet Theory and Harmonic Analysis
J. M. Cohen (Emeritus) Potential Theory on Graphs
W. Czaja Pseudodifferential Operators, Wavelets, and Harmonic Analysis
S. Kunnawalkam Elayavalli Operator Algebras
A. Lawrie Dispersive and Geometric PDEs
J. M. Rosenberg C*-Algebras, Noncommutative Analysis

S. Berhanu Partial differential equations, microlocal analysis, several complex variables
T. Darvas Pluripotential theory, Several complex variables
W. Goldman Complex and Kähler Manifolds
D. H. Hamilton Quasiconformal Geometry, Complex Dynamics
M. Jakobson (Emeritus) Complex Dynamics
Y. A. Rubinstein Geometric Analysis, Complex Differential Geometry
H. Tamvakis Algebraic Geometry, Arakelov Theory, Schubert Calculus
R. Wentworth Kähler Geometry, Moduli Spaces
S. A. Wolpert (Emeritus) Riemann Surfaces, Teichmueller theory and geometry of moduli spaces

A. Chernikov Model theory and Applications
M. C. Laskowski Model Theory, Set Theory
C. Rosendal Descriptive Set Theory, Model Theory

U. Bader Analytic Group Theory
J. M. Cohen (Emeritus) Discretization of Classical Structures
D. Cristofaro-Gardiner Symplectic Geometry and Topology
T. Darvas Geometric Analysis, Complex Differential Geometry
W. Goldman Geometric Structures on Manifolds, Moduli Spaces
S. Halperin (Emeritus) Rational Homotopy Theory
O. Hershkovits Geometric Analysis
J. Millson (Emeritus) Locally Symmetric Spaces, Configuration Spaces
J. M. Rosenberg Algebraic Topology, Geometry, Index Theory, Mathematical Physics
Y. A. Rubinstein Geometric Analysis, Complex Differential Geometry
J. A. Schafer (Emeritus) Algebraic and Differential Topology, Cohomology of Groups
A. Senger Algebraic Topology
R. Wentworth Kähler Geometry, Moduli Spaces
S. Wolpert (Emeritus) Riemann Surfaces
B. Zhang Low Dimensional Topology and Gauge Theory
C. Zickert Low Dimensional Topology 

U. Bader Analytic Group Theory
D. Cristofaro-Gardiner Symplectic geometry, Hamiltonian dynamics, Undergraduate research
D. Dolgopyat Smooth Dynamics
B. Fayad Daynaical Systems
G. Forni Complex Dynamics
W. Goldman Ergodic theory on moduli spaces
A. Gumel Mathematical Biology, Applied Dynamical Systems
K. Ide Scientific Prediction, System Design and Optimization
M. Jakobson Low-Dimensional and Complex Dynamics
A. Kanigowski Flows on manifolds, Ergodic theory
J. A. Yorke Applied Dynamics, Numerical Methods, Smooth Dynamics

S. Berhanu Partial differential equations, microlocal analysis, several complex variables
M. Grillakis Nonlinear Analysis and Partial Differential Equations
A. Gumel Mathematical Biology
C. Henderson Reaction-diffusion equations, kinetic equations
O. Hershkovits Geometric flows
A. Lawrie Partial Differential Equations and mathematical physics
C. D. Levermore (Emeritus) Partial Differential Equations
D. Levy Modeling in Biology and Medicine
D. Margetis Applied analysis, mathematical models in materials science
M. Machedon Hyperbolic Partial Differential Equations
A. Mellet Nonlinear PDE of elliptic and parabolic type, fluid dynamics, kinetic models
H. Nguyen Partial Differential Equations and Fluid Mechanics
R. Nochetto Geometric partial differential equations, Free boundary problems, Fractional diffusion
Y. A. Rubinstein Geometric Analysis, Optimal Transport, Convex and Complex Geometry, Algebraic Geometry
E. Tadmor Nonlinear time dependent Partial Differential Equations
K. Trivisa Nonlinear analysis and Partial Differential Equations, Fluid dynamics, Mathematical Biology

R. Balan Applied Harmonic Analysis, Signal Processing, Mathematics of Machine Learning
M. Cameron Scientific Computating
W. Czaja Harmonic Analysis and Applications, Data Science, Mathematics of Machine Learning
D. Levy Numerical Analysis, Applied Dynamics, Biology and Medicine.
V. Lyzinski Statistical network inference, Graph matching (theory and algorithms), Statistical machine learning, Probability, Combinatorics
R. Nochetto Numerical Analysis, Partial Differential Equations, Variational methods for linear and nonlinear partial differential equations, Adaptivity, Nonlinear approximation
T. von Petersdorff Numerical Analysis, Partial Differential Equations
D. Ray Numerical Analysis and Machine Learning
Y.A. Rubinstein Optimal Transport, Monge-Ampere type equations
E. Tadmor Numerical Analysis of high resolution and multiscale methods
Haizhao Yang Machine Learning for PDEs & Inverse Problems
Y. Yang Bayesian statistics, Generative models, Optimal transport, Statistical algorithms and optimization, and Statistical learning theory

A. Adhikari Statistical physics and discrete probability
M. Cameron Stochastic Processes and Partial Differential Equations
S. Cerrai Stochastic PDE
D. Dolgopyat Dynamical Systems, Probability Theory, Mathematical Physics
M. I. Freidlin (Emeritus) Asymptotic Problems for Stochastic Processes and Partial Differential Equations
Y. Gu Random Dynamics, Nonequilibrium Statistical Mechanics
L. Koralov Homogenization, Random Perturbations of Dynamical Systems
V. Lyzinski Statistical Network Inference, Graph Theory, Probability
R. Peled Probability Theory, Statistical Physics, Combinatorics

A. Kagan (Emeritus) Estimation Theory, Characterization Problems
B. Kedem (Emeritus) Time Series; Spatial Statistics; Semiparametrics; Data fusion
P. Lahiri Survey Sampling, Bayesian Estimation
L. Lin Bayesian statistics, statistics on manifolds, network analysis
V. Lyzinski Statistical network inference, Graph matching (theory and algorithms), Statistical machine learning, Probability, Combinatorics
J. J. Ren Statistical Methods and Modeling, Probability
Y.A. Rubinstein Geometry and Data Analysis in Sports
T. Saegusa Biostatistics, Inference for High-dimensional Data
E. V. Slud Inference from Sample Surveys, Statistical Inference for Stochastic Processes, Survival Analysis
P. J. Smith (Emeritus) Nonparametric Statistics, Categorical Data, Applications
Y. Yang Bayesian Inference, High-dimensional Statistics, Machine Learning, Optimization, and Statistical Learning Theory

W. Goldman Mathematical Visualization
D. Gulick (Emeritus) Calculus Reform, New Technology
D. Levy K-12 and Outreach
J. M. Rosenberg Uses of Mathematical Software
Y. A. Rubinstein Research Experience for Undergraduates
S. Wolpert (Emeritus) Calculus Reform
L. C. Washington K-16 Outreach

A. Gumel Mathematical Biology, Applied Dynamical Systems
C. Henderson Reaction-diffusion equations, kinetic equations
D. Levy Modeling in Biology and Medicine

R. Balan Applied Harmonic Analysis, Signal Processing, Mathematics of Machine Learning
W. Czaja Harmonic Analysis and Applications, Data Science, Mathematics of Machine Learning
A. Gumel Mathematical Biology, Applied Dynamical Systems
K. Ide Scientific Prediction, System Design and Optimization
D. Levy Modeling in Biology and Medicine
D. Margetis Applied Quantum Dynamics, Asymptotics and Multiple-Scale Analysis with Applications

A. Adhikari Statistical physics and discrete probability
D. Dolgopyat Dynamical Systems, Probability Theory, Mathematical Physics
R. Peled Probability Theory, Statistical Physics, Combinatorics
J. M. Rosenberg Algebraic Topology, Geometry, Index Theory, Mathematical Physics
D. Margetis Applied Quantum Dynamics, Asymptotics and Multiple-Scale Analysis with Applications

A. Adhikari Statistical physics and discrete probability
A. Chernikov Model theory and Applications, Combinatorics
M. C. Laskowski Model Theory, Set Theory, and Combinatorics
V. Lyzinski Statistical network inference, Graph matching (theory and algorithms), Statistical machine learning, Probability, Combinatorics
R. Peled Probability Theory, Statistical Physics, Combinatorics
H. Tamvakis Algebraic Combinatorics, Schubert Calculus