### Algebra and Algebraic Geometry

**Stephen Humphries:**Group Theory, Low-dimensional Topology**Tyler Jarvis:**Algebraic Geometry**Pace Nielsen:**Ring Theory, Module Theory, and Number Theory**Nathan Priddis:**Algebraic Geometry

### Combinatorics and Matrix Theory

**Rodney W. Forcade:**Combinatorics, Number Theory, and Graph Theory

### Differential Equations and Dynamical Systems

**Mark Allen:**Partial Differential Equations**Lennard Bakker:**Dynamical Systems and Celestial Mechanics**Todd Fisher:**Dynamical Systems**Christopher P. Grant:**Nonlinear Partial Differential Equations, Dynamical Systems**Kenneth Kuttler:**Abstract Methods for Nonlinear Partial Differential Equations**Kening Lu:**Nonlinear Partial Differential Equations, Dynamical Systems, and Applied Mathematics**Tiancheng Ouyang:**Nonlinear Partial Differential Equations and Celestial Mechanics**Benjamin Webb:**Dynamical Systems, Matrix Theory

### Minimal Surfaces

**Michael Dorff:**Minimal Surfaces, Geometric Function Theory**Gary Lawlor:**Minimal Surfaces

**Number Theory**

**Roger Baker:**Number Theory**David A. Cardon:**Analytic Number Theory, Algebraic Number Theory, Automorphic Forms**Jasbir S. Chahal:**Number Theory**Darrin Doud:**Algebraic Number Theory, Galois Representations**Paul Jenkins:**Number Theory**Xian-Jin Li:**Analytic Number Theory

**Numerical Analysis and Applied Mathematics**

**Blake Barker:**Applied Mathematics, Partial Differential Equations**Shue-Sum Chow:**Numerical Analysis**John Dallon:**Mathematical Biology**Emily Evans:**Applied Mathematics**Scott Glasgow:**Optics both Classical and Quantum**Jeff Humpherys:**Applied Mathematics, Nonlinear Partial Differential Equations, and Dynamical Systems**Robin Roundy**: Operations Research**Vianey Villamizar:**Numerical Solution of Partial Differential Equations, Wave Scattering, and Asymptotic Methods**Jared Whitehead:**Applied Mathematics, Fluid Dynamics

### Topology and Geometric Group Theory

**Gregory Conner:**Geometric Group Theory, Topology, and Combinatorial Group Theory**Denise Halverson:**Geometric Topology**Mark Hughes:**Geometric Topology and Low-dimensional Topology**Curtis Kent:**Geometric Group Theory**Eric Swenson:**Geometric Group Theory, Topology