## Faculty Research

Many faculty have areas of interest in several specializations, but they are roughly categorized as follows.

### Applied and Computational Mathematics

This group includes people with subspecialties in applied and computational mathematics, ordinary and partial differential equations, and dynamical systems.

Researchers:

- Kathleen T. Alligood
- Daniel M. Anderson
- Harbir Antil
- Maria Emelianenko
- Harbir Lamba
- Jeng-Eng Lin
- Robert L. Sachs
- Evelyn Sander
- Stephen H. Saperstone
- Timothy D. Sauer
- Padmanabhan Seshaiyer
- Thomas Wanner

### Algebraic Structures, Combinatorics, and Optimization

This group includes faculty members with subspecialities in commutative and non-commutative ring theory, combinatorics and graph theory, and linear, convex optimization, and mathematical economics.

Researchers:

- Geir Agnarsson
- Neil Epstein
- Michael R. Gabel
- Igor Griva
- James F. Lawrence
- Walter Morris
- Jay A. Shapiro

### Geometry and Topology

The geometry and topology group has subspecialities in set-theoretic topology, metric spaces, dimension theory, box topology, algebraic and topological properties of continuous functions, curvature operators, convex and discrete geometry, symplectic geometry and group actions.

Researchers:

- Rebecca F. Goldin
- John S. Kulesza
- James F. Lawrence
- Sean Lawton
- Chris Manon
- Valeriu Soltan
- Thomas Wanner
- Stanley M. Zoltek

### Potential Theory and Analysis

Subspecialities include potential theory in euclidean and discrete spaces, complex analysis, functional analysis, euclidean harmonic analysis including sampling theory, Radon transforms, wavelet theory, and applications.

Researchers:

- Flavia Colonna
- David H. Singman
- David F. Walnut
- Thomas Wanner