# 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:**

**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