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.*
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.