**Allen:** Algebraic Combinatorics, Bioinformatics

**Allman:** Algebraic topology and geometry, representation theory

**Betancourt:** Mathematical fiber arts, math education, topological data analysis

**Bourdon:** Arithmetic Geometry

**Chukwu:** Mathematical Biology, Optimal Control, Applied Mathematics, Epidemiology, and Disease Modeling

**Erway:** Numerical optimization, computational PDEs, numerical linear algebra, scientific computation

**Falcon:** Applied mathematics, fluid dynamics, partial differential equations, mathematical biology

**Gemmer:** Applied mathematics, calculus of variations, partial differential equations, optics, dynamical systems, stochastic differential equations

**Goodberry: **Algebraic combinatorics, nonsymmetric Macdonald polynomials, Hecke algebras

**Howards:** Topology and Geometry

**Jiang:** Dynamical Systems and Smooth Ergodic Theory

**Kindred:** Classical and virtual knot theory, spanning surfaces, Khovanov homology, multisections of n-manifolds

**Kirkman:** Noncommutative Algebra, Representation Theory, Homological Algebra, and Invariant Theory

**Lichtenfelz:** Differential Geometry, Global Analysis, Fluid Dynamics and General Relativity

**Mason:** Algebraic Combinatorics, Representation Theory

**Mayle:** Number theory, arithmetic geometry, elliptic curves, Galois representations

**Merkx: **Algebraic geometry, algebraic topology, Calabi-Yau varieties, and related aspects of theoretical physics including string compactifications in F-theory and other stringy models

**Moore:** Commutative algebra. In particular, homological properties of commutative rings

**Oke:** Homological and noncommutative algebra, Hochschild cohomology and its associated Gerstenhaber algebra structure, Representation theory

**Parsley:** Differential Geometry, Geometric Analysis, Physical Knot Theory

**Raynor:** Partial Differential Equations, Semilinear dispersive PDEs: questions of well-posedness and qualitative behavior. Free boundary problems: regularity of the solution and its interface. Semilinear elliptic PDEs: Existence of positive solutions

**Robinson:** Nonlinear Analysis applied to Partial, Ordinary, and Difference Equations: Of particular interest are the existence and multiplicity of solutions associated with Reaction-Diffusion Equations, and the characterization of the spectrum and of the solutions for Nonlinear Eigenvalue Problems

**Rouse:** Number theory, modular and automorphic Forms, L-functions, elliptic curves, quadratic forms

**Tan:** Applied mathematics, calculus of variations, eigenvalue problems, fluid dynamics, partial differential equations

**Tran: **Frame theory

**Yengulalp:** Topology and set theory