**Permanent faculty and their fields of interest**

Edward Azoff, *Professor*, *Ph.D. University of Chicago, 1972*. Interface of operator theory and descriptive set theory.

Joseph H.G. Fu, *Professor*, *Ph.D. Massachusetts Institute of Technology, 1984*. "Integral geometric regularity”, the study of the conditions under which classical curvature integrals may be extracted from spaces with singularities.

Neil Lyall, *Professor*, *Ph.D. University of Wisconsin, 2004*. Arithmetic combinatorics and harmonic analysis.

Akos Magyar, *Professor, Ph.D. Princeton, 1996*. Discrete harmonic analysis. Arithmetic combinatorics. Analytic methods for diophantine problems.

Jingzhi Tie, *Professor*, *Ph.D. University of Toronto, 1995. *Partial differential equations, several complex variables, and financial mathematics.

Shuzhou Wang, *Associate* *Professor*, *Ph.D. University of California, Berkeley, 1993. *Quantum Groups, Non-commutative Geometry, Operator Algebras, and Mathematical Physics.

**Postdoctoral associates and their fields of interest**

Jeremy Schwend, *Postdoctoral Research and Teaching Associate**, Ph.D. University of Wisconsin, 2020*. Harmonic analysis, encompassing averaging operators, restriction, and decoupling, with a focus on Euclidean harmonic analysis and problems related to curvature.

Zhenhua Wang, *Limited Term Assistant Professor, Ph.D. University of Houston, 2019*. Operator algebra theory, and more specifically in the following areas: *Operator algebras, Jordan operator algebras, operator spaces, and operator theory.*

**Recent graduates and their dissertations**

**Hans D. Parshall** (Neil Lyall/Akos Magyar), *Point configurations over finite fields, 2017.*

**Lauren E. Huckaba** (Neil Lyall), *Simplices and sets of positive upper density in R^d, 2016.*

**Phong Luu** (Qing Zhang/Jingzhi Tie), *Optimal Pairs Trading Rules and Numerical Methods**, 2016.*

**Due Nguyen** (Qing Zhang/Jingzhi Tie), *Optimal asset trading under regime switching models, 2013.*

**Alex Rice** (Neil Lyall), *Improvements and extensions of two theorems of Sarkozy, 2012.*

**Jim Blair **(Akos Magyar),* On the embedding of triangles into integer lattices, 2004.*