Research Areas


Please direct inquiries about our graduate program to:

The Department of Mathematics has many diverse research groups, and their research projects are a vital component of the Department's doctoral program. In the lists below, Click on the faculty member's name to obtain a photograph, email link and/or home-page. A fundamental domain Click this link to find all recent doctoral dissertation topics.

Number Theory. Profs. Hoffman, Kopp Long, Tu.

Algebra and Representation Theory. Profs. Achar, Delzell, Hoffman, Madden, Ng, Sage, Zeitlin.

Topology and Geometry. Profs. Baldridge, Bibby, Cohen, Dani, Dasbach, Gilmer, Smolinsky, Vela-Vick, Zeitlin. This group has prepared a brief introduction to Topology and Geometry.

Combinatorics. Profs. Cohen, Ding, Oporowski, Oxley, Wang (starting Fall 2023).

Control Theory and Optimization. Profs. Ding, Malisoff, Wolenski.

Harmonic Analysis. Profs. Han, He, Nguyen, Olafsson, Richardson, Rubin, Yang.

Ordinary Differential Equations. Profs. Estrada, Neubrander, He.

Partial Differential Equations. Profs. Bulut, Estrada, Neubrander, Nguyen, Tarfulea, Tom, Wan.

Mathematical Physics. Profs. Baldridge, Han, Shipman. Yang. Zeitlin.

Spectral Theory. Profs. Han, He, Massatt, Olafsson, Shipman. Yang.

Mathematics of Materials Science. Profs. Antipov, Brenner, Lipton, Massatt, Shipman, Walker. There is also a brief introduction to Mathematics of Materials Science.

Scientific Computing and Numerical Analysis. Profs. Brenner, Massatt, Sung, Walker, Wan, and Zhang. For more information see the brief introduction to Scientific Computing and Numerical Analysis.

Probability. Profs. Chen, Ganguly, Kuo, Sundar. There is also a brief introduction to Probability.