### 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

**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

**R. Wentworth** KÃ¤hler Geometry, Moduli Spaces**S. A. Wolpert** Riemann Surfaces

### Mathematical Logic

**M. C. Laskowski** Model Theory, Set Theory

### Geometry/Topology

**J. M. Cohen** Discretization of Classical Structures

**T. Darvas**
Complex differential geometry, Kähler geometry

**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**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** KÃ¤hler 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

**M. Jakobson** Low-Dimensional and Complex Dynamics**V. Kaloshin** Celestial mechanics, smooth 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

**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

**L.-M. Imbert-GÃ©rard** Waves in variable media **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