The faculty of the Mathematics Department conducts research in a broad variety of areas. Below are the research groups in our faculty, along with members of the groups and areas they work in.

Departmental Publications on MathSciNet

## Algebra

- Paul Allen:
*group theory, ring theory* - Jon Corson:
*geometric ring theory* - Martyn Dixon:
*infinite group theory* - Martin Evans:
*infinite group theory*

## Analysis

- David Cruz-Uribe:
*harmonic analysis, PDEs* - Tim Ferguson:
*complex analysis, operator theory, harmonic analysis* - Kabe Moen:
*harmonic analysis, PDEs* - Yuanzhen Shao:
*PDEs, geometric analysis*

## Geometry and Topology

- Jon Corson:
*low dimensional topology* - Lawrence Roberts:
*low dimensional topology, homology theory, knot theory* - Vo Liem:
*geometric topology* - Bulent Tosun:
*low dimensional topology, contact and symplectic geometry* - Bruce Trace:
*geometric topology*

## Math Education

- Jim Gleason:
*Mathematical knowledge for teaching, educational measurement* - Martha Makowski:
*Math education, developmental math, STEM access, quantitative and mixed methods*

## Applied and Computational Mathematics

### Ordinary or Partial Differential Equations

- Shibin Dai:
*nonlinear PDEs, applied analysis, numerical analysis* - Layachi Hadji:
*fluid dynamics, materials science* - David Halpern:
*fluid dynamics, mathematics in the life sciences, scientific computing* - Mojdeh Rasoulzadeh:
*homogenization method, flow and transport in heterogeneous porous media* - Roger Sidje:
*numerical methods for ODEs, numerical linear algebra, computational biology* - Chuntian Wang:
*PDEs, stochastic PDEs, statistical-stochastic modeling with applications* - Shan Zhao:
*numerical methods for PDEs, scientific computing, mathematical biology* - Wei Zhu:
*image processing, numerical methods for PDEs*

### Optimization and Statistics

- Brendan Ames: o
*ptimization, machine learning* - Stavros Belbas:
*optimal control, game theory* - Yuhui Chen:
*big data analysis, Bayesian nonparametric modeling, survival models, statistical computing* - Dang Nguyen:
*applied probability, stochastic processes, optimal control, dynamical systems, mathematical biology* - Min Sun:
*global optimization and game theory with applications, modeling, simulation*