### Algebra and Number 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**H. Tamvakis** Algebraic Geometry, Complex Geometry, Arakelov Theory**L. C. Washington** Algebraic Number Theory and Arithmetic Algebraic Geometry**Y. Zhu** Number Theory, Automorphic Representations

### Abstract and Classical Analysis

**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 **J. M. Rosenberg** C*-Algebras, Noncommutative Analysis

### Complex Analysis

**T. Darvas** Pluripotential theory, Several complex variables**W. Goldman** Complex and KÃ¤hler Manifolds**D. H. Hamilton** Quasiconformal Geometry, Complex Dynamics**M. Jakobson** Complex Dynamics**Y. A. Rubinstein** Geometric Analysis, Complex Differential Geometry**Harry Tamvakis** Complex Geometry

**R. Wentworth** KÃ¤hler Geometry, Moduli Spaces**S. A. Wolpert** (Emeritus) Riemann Surfaces, Teichmueller theory and geometry of moduli spaces

### Mathematical Logic

**Artem Chernikov** Model theory and Applications

**M. C. Laskowski** Model Theory, Set Theory**Christian Rosendal** Descriptive Set Theory, Model Theory

### Geometry/Topology

**L. Chen** Symmetries of Manifolds

**J. M. Cohen** (Emeritus) Discretization of Classical Structures

**D. Cristofaro-Gardiner** Symplectic Geometry and Topology

**T. Darvas** Geometric Analysis, Complex Differential Geometry**A. De Rosa** Geometric Measure Theory, Geometric Analysis, PDEs

**W. Goldman** Geometric Structures on Manifolds, Moduli Spaces

**S. Halperin** Rational Homotopy Theory**K. Melnick** Rigidity, Lorentz and Pseudo-Riemannian Geometry**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

**R. Wentworth** KÃ¤hler Geometry, Moduli Spaces

**S. Wolpert** (Emeritus) Riemann Surfaces

**B. Zhang** Low Dimensional Topology and Gauge Theory

**C. Zickert** Low Dimensional Topology

### Ordinary Differential Equations and Dynamical Systems

**D. Dolgopyat** Smooth Dynamics

**B. Fayad** Daynaical Systems**G. Forni** Complex Dynamics**W. Goldman** Ergodic theory on moduli spaces

**M. Jakobson** Low-Dimensional and Complex Dynamics

**A. Kanigowski** Flows on manifolds, Ergodic theory

**R. Trevino**, Dynamics on surfaces, quasicrystals**J. A. Yorke** Applied Dynamics, Numerical Methods, Smooth Dynamics

### Partial Differential Equations and Nonlinear Analysis

A. De Rosa Geometric Measure Theory, Geometric Analysis, PDEs**P. M. Fitzpatrick** (Emeritus) Topological Methods in Nonlinear Partial Differential Equations**M. Grillakis** Nonlinear Analysis and Partial Differential Equations

**A. Gumel** Mathematical Biology**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

### Numerical Analysis

**M. Cameron** Scientific Computating ** D. Levy ** Numerical Analysis, Applied Dynamics, Biology and Medicine.**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**E. Tadmor** Numerical Analysis of high resolution and multiscale methods**Haizhao Yang**, Machine Learning for PDEs & Inverse Problems

### Statistics and Probability

**M. Cameron** Stochastic Processes and Partial Differential Equations**S. Cerrai** Stochastic PDE**M. I. Freidlin** (Emeritus) Asymptotic Problems for Stochastic Processes and Partial Differential Equations**Y. Gu**, Random Dynamics, Nonequilibrium Statistical Mechanics**A. Kagan** (Emeritus) Estimation Theory, Characterization Problems**B. Kedem** Time Series; Spatial Statistics; Semiparametrics; Data fusion**L. Koralov** Homogenization, Random Perturbations of Dynamical Systems **P. Lahiri** Survey Sampling, Bayesian Estimation

**L. Lin**, Bayesian statistics, statistics on manifolds, network analysis**V. Lyzinski**, Statistical Network Inference, Graph Theory, Probability**J. J. Ren** Statistical Methods and Modeling, Probability

**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

### Mathematics Education

**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