# Faculty Research Interests

# Faculty Research Interests

**Dr. Guillermo**** Alesandroni**: Commutative Algebra and Combinatorics

**Dr. Edward Allen:** Combinatorics, Discrete Mathematics

**Dr. Kenneth Berenhaut:**Applied probability; network science, discrete dynamics; convergence rates; mathematical inequalities; mathematical and statistical models; difference equations; statistical methodology; matrix inequalities; analytic, probabilistic and combinatorial number theory; discrete structures.

**Dr. Richard Carmichael:** Representation of distributions and ultradistributions as boundary values of analytic functions, integral transforms, Abelian theorems

**Dr. Rob Erhardt:** Environmental Statistics, Extreme Values, Computational Statistics, Actuarial Science

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

**Dr. Jason Gaddis:** Noncommutative algebra, especially noncommutative algebraic geometry, and certain classification problems in the field

**Dr. John Gemmer: **Mathematical modeling, applied mathematics, calculus of variations, dynamical systems, stochastic differential equations.

**Dr. Joshua Hallam: **Algebraic and Enumerative Combinatorics

**Dr. Staci Hepler: **Bayesian Modeling, Computational Statistics, Spatial and Environmental Statistics

**Dr. Hugh Howards:** Topology and Geometry

**Dr. Miaohua Jiang:** Dynamical Systems and Smooth Ergodic Theory

**Dr. Chris Johnson:** Ergodic Theory and Teichmueller Dynamics

**Dr. Ellen Kirkman:** Noncommutative Algebra, Representation Theory, and Homological Algebra

**Dr. Daniel Maroncelli**: Functional Analysis, Ordinary Differential Equations, Difference Equations, Dynamical Systems

**Dr. Sarah Mason:** Combinatorics, Representation Theory

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

**Dr. James Norris:** Statistical Methodology, Ecological Statistics

**Dr. Jason Parsley:** Low-dimensional topology, knot theory, differential geometry, weighted voting

**Dr. Sarah Raynor:** Elliptic and dispersive partial differential equations

**Dr. Mauricio Rivas: **Variational analysis and Morse theory for spectral problems in PDEs

**Dr. Stephen Robinson:** Partial Differential Equations; Calculus of Variations; Medical Imaging

**Dr. Jeremy Rouse:** Number Theory

**Dr. Rob Won: **Noncommutative Algebra, in particular Noncommutative Ring Theory and Noncommutative Algebraic Geometry