Faculty Research Interests

Allen: Algebraic Combinatorics, Bioinformatics
Allman: Algebraic topology and geometry, representation theory
Bourdon: Arithmetic Geometry
Bozlee:
Celano: Algebraic Combinatorics
Corak: Ecohydrology, remote sensing, vegetation dynamics, data assimilation, dynamical systems
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
Kirkman: Noncommutative Algebra, Representation Theory, Homological Algebra, and Invariant Theory
Lee: Number Theory, Elliptic Curves, Arithmetic Geometry
Lichtenfelz: Differential Geometry, Global Analysis, Fluid Dynamics and General Relativity
Mason: Algebraic Combinatorics, Representation Theory
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
Parsley: Differential Geometry, Geometric Analysis, Physical Knot Theory
Peltier: Biomathematics
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
Valletta: Geometric Mechanics, Fluid Dynamics, and PDEs.
Veconi: Hyperbolic dynamical systems, smooth ergodic theory, and thermodynamic formalism
Yang: Dynamical systems, ergodic theory, stochastic process
Yengulalp: Topology and set theory
Zhao: Data analysis, Computational biology