Research excellence is a prime objective of the Mathematics Department. Faculty members conduct research in a variety of areas in pure and applied mathematics. Grants from the federal and state government support many faculty members' research programs. These grants often include support for graduate students seeking Ph.D. or master degrees. The research areas in the Department of Mathematics may be loosely grouped into:

- Algebra
- Analysis
- Applied and Computational Mathematics
- Mathematical Logic and Foundations
- Statistics

# Algebra

**Areas of Research:**

- Combinatorics
- Group Theory
- Non-Associative Rings and Algebras
- Number Theory

**Faculty:**

- Doug Brozovic
- William Cherry
- Charles Conley
- Olav Richter
- Ralf Schmidt (Classical and adelic modular forms, local and global representation theory, automorphic L-functions)
- Anne Shepler

# Analysis

**Areas of Research:**

- Dynamical Systems
- Functional Analysis
- Geometry
- Measure Theory
- Partial Differential Equations
- Probability
- Real and Complex Analysis

**Faculty:**

# Applied and Computational Mathematics

**Areas of Research:**

- Mathematical Biology
- Numerical Analysis
- Optimization
- Uncertainty Quantification

**Faculty:**

- Rajeev Azad
- Yanyan He
- J. Jianguo Liu
- Giordano Tierra Chica (Fluid Mechanics, Modeling, Numerical Analysis, PDEs, Scientific Computing)

# Mathematical Logic and Foundations

**Areas of Research:**

**Faculty:**

# Statistics

**Areas of Research:**

- Biostatistics

**Faculty:**