Allen: Algebraic Combinatorics, Bioinformatics
Allman: Algebraic topology and geometry, representation theory
Betancourt: Mathematical fiber arts, math education, topological data analysis
Bourdon: Arithmetic Geometry
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:
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
Rezapour: Optimization, computational science, Machine Learning and Deep Learning
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