Faculty Research Interests

Allen: Algebraic Combinatorics, Bioinformatics

Allman: Algebraic topology and geometry, representation theory

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

Bourdon: Arithmetic Geometry

Celano: Algebraic Combinatorics

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

Gholizadeh Siahmazgi: Quantum Field Theory in Curved Spacetime, General Relativity, Stochastic Differential Equations

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

Mishra: research interest lies at the intersection of geometric group theory, the group of homeomorphisms of small manifolds, dynamical systems, and lattices of Lie groups 

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

Odessa: Fluid dynamics, specifically the intricate interplay between fluids and their boundaries

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: Ordinary and Partial Differential Equations; Nonlinear Analysis

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

Veconi: Hyperbolic dynamical systems, smooth ergodic theory, and thermodynamic formalism

Yang: Dynamical systems, ergodic theory, stochastic process

Yengulalp: Topology and set theory