# Research Areas

Our professors and students explore a broad range of areas and ideas in mathematics and statistics from foundational theory to applied research. We have active researchers in the following areas: algebra, analysis; computational mathematics; differential equations; dynamical systems; mathematical biology; mathematical modeling; numerical analysis; statistics; and, topology.

You can find more detailed information in the list below and through the faculty links in this list.

## Algebra

- Gary F. Birkenmeier (rings, modules, near-rings, semigroups)
- Justin Lynd (structure and representation theory of finite groups, group cohomology)
- Arturo Magidin (groups, general algebra)

## Analysis

- Ping Wong Ng (C*-algebras, K-theory, representation theory, topological groups)
- Leonel Robert (operator algebras, C*-algebras, K-theory, the Cuntz semigroup, Hilbert C*-modules)

## Applied Mathematics

- Azmy Ackleh (mathematical biology)
- Cameron Browne (mathematical biology)
- Chiu Yeung Chan (nonlinear partial differential equations, applied analysis, mathematical modeling, computational mathematics)
- Ross Chiquet (mathematical biology, differential and difference equations)
- Keng Deng (partial differential equations)
- Hayriye Gulbudak (dynamical systems, differential equations, numerical analysis, modeling biological systems)
- Baker Kearfott (global optimization, software development and computer arithmetic, interval computations, operations research)
- Paul L. Salceanu (mathematical biology, difference and differential equations, dynamical systems)
- A.S. Vatsala (ordinary and partial differential equations)
- Amy Veprauskas (mathematical biology, difference and differential equations, dynamical systems)
- Bruce A. Wade (numerical analysis, computational mathematics)
- Xiang-Sheng Wang (applied analysis, computational mathematics, and mathematical biology)
- Yangwen Zhang (applied mathematics, scientific computing, numerical analysis, and data science.)

## Topology

- Daniel G. Davis (algebraic topology, homotopy theory)
- Philip Hackney (algebraic topology, higher category theory)
- Robin Koytcheff (knots, links, configuration spaces, algebraic topology)

## Statistics

- J. Calvin Berry (decision theory, Bayesian statistics, linear models, multivariate analysis)
- Kalimuthu Krishnamoorthy (occupational exposure data analysis, inference with missing data, meta analysis, tolerance regions, multiple detection limits, statistical calibration)
- Nabendu Pal (decision theory, reliability and life testing, multivariate analysis, and biostatistics)
- Yongli Sang (time series, nonparametric statistics, robust statistics, correlated data analysis)
- Mo Li (categorical time series, changepoint detection, microbiome and T-cell receptor sequencing, statistical applications in the environmental and biological sciences)