Algebra and Number Theory

J. Adams Representation Theory
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
Xuhua He Algebraic Groups, Representation Theory, and Arithmetic Algebraic Geometry
J. Millson Locally symmetric spaces
N. Ramachandran Algebraic Geometry, Motives
J. M. Rosenberg K-Theory
J. A. Schafer Cohomology of Groups
H. Tamvakis Algebraic Geometry, Complex Geometry, Arakelov Theory
L. C. Washington Algebraic Number Theory and Arithmetic Algebraic Geometry

Abstract and Classical Analysis

J. Adams Representation Theory
R. Balan Applied Harmonic Analysis, Signal Processing
J. J. Benedetto Wavelet Theory and Harmonic Analysis
J. M. Cohen Potential Theory on Graphs
W. Czaja Pseudodifferential Operators, Wavelets, and Harmonic Analysis
K. Okoudjou Harmonic Analysis; Analysis on Fractals
J. M. Rosenberg C*-Algebras, Noncommutative Analysis

Complex Analysis

W. Goldman Complex and Kähler Manifolds
D. H. Hamilton Quasiconformal Geometry, Complex Dynamics
M. Jakobson Complex Dynamics
Y. A. Rubinstein Geometric Analysis, Complex Differential Geometry
R. Wentworth Kähler Geometry, Moduli Spaces
S. A. Wolpert Riemann Surfaces

Mathematical Logic

M. C. Laskowski Model Theory, Set Theory


J. M. Cohen Discretization of Classical Structures
W. Goldman Geometric Structures on Manifolds, Moduli Spaces
S. Halperin Rational Homotopy Theory
K. Melnick Rigidity, Lorentz and Pseudo-Riemannian Geometry
J. Millson Locally Symmetric Spaces
S. P. Novikov Topology, Geometry, Physics
J. M. Rosenberg Algebraic Topology, Geometry, Index Theory, Mathematical Physics
Y. A. Rubinstein Geometric Analysis, Complex Differential Geometry
J. A. Schafer Algebraic Topology
R. Wentworth Kähler Geometry, Moduli Spaces
S. Wolpert Riemann Surfaces
C. Zickert Low Dimensional Topology 

Ordinary Differential Equations and Dynamical Systems

D. Dolgopyat Smooth Dynamics
G. Forni Complex Dynamics
W. Goldman Ergodic theory on moduli spaces
B. Hunt Chaotic Dynamics
V. Kaloshin Celestial mechanics, smooth dynamics
M. Jakobson Low-Dimensional and Complex Dynamics
J. A. Yorke Applied Dynamics, Numerical Methods, Smooth Dynamics

Partial Differential Equations and Nonlinear Analysis

Jacob Bedrossian PDEs and variational problems arising from mechanics of fluids and solids
P. M. Fitzpatrick Topological Methods in Nonlinear Partial Differential Equations
M. Grillakis Nonlinear Analysis and Partial Differential Equations
P.-E. Jabin Nonlinear Analysis and Partial Differential Equations
C. D. Levermore Partial Differential Equations
D. Levy Applied Dynamics, Numerical Analysis, 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
D. Margetis Modeling and applied analysis; continuum and quantum physics
Y. A. Rubinstein Geometric Analysis, Complex Differential Geometry
E. Tadmor Nonlinear time dependent Partial Differential Equations
K. Trivisa Nonlinear analysis and Partial Differential Equations, Fluid dynamics, Mathematical Biology

Numerical Analysis

M. Cameron Scientific Computating
D. Levy Numerical Analysis, Applied Dynamics, Biology and Medicine.
R. Nochetto Numerical Analysis, Partial Differential Equations
T. von Petersdorff Numerical Analysis, Partial Differential Equations
E. Tadmor Numerical Analysis of high resolution and multiscale methods

Statistics and Probability

M. Cameron Stochastic Processes and Partial Differential Equations
S. Cerrai Stochastic PDE
M. I. Freidlin Asymptotic Problems for Stochastic Processes and Partial Differential Equations
A. Kagan Estimation Theory Characterization Problems
B. Kedem Time Series; Space-Time Statistics
L. Koralov Homogenization, Random Perturbations of Dynamical Systems
J. J. Ren Statistical Methods and Modeling, Probability
T. Saegusa Biostatistics, Inference for High-dimensional Data
E. V. Slud Statistical Inference for Stochastic Processes, Survival Analysis
P. J. Smith Nonparametric Statistics, Categorical Data, Applications
Tingni Sun Statistical inference, Nonparametric Statistics, Sparse Regression

Mathematics Education

W. Goldman Mathematical Visualization
D. Gulick Calculus Reform, New Technology
J. M. Rosenberg Mathematical Software
Y. A. Rubinstein Research Experience for Undergraduates
S. Wolpert Calculus Reform