**Permanent faculty and their fields of interest**

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.

Tomasz Z. Szarek, Assistant Professor, Ph.D. Institute of Mathematics of the Polish Academy of Sciences, 2015. Fourier analysis, (discrete) harmonic analysis and its applications to ergodic theory.

Jingzhi Tie, *Professor*, *Ph.D. University of Toronto, 1995. *Analysis and geometry on Heisenberg group, geometric analysis of Sasakian manifold; Mathematical Finance.

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

**Emeritus faculty and their fields of interest**

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

**Postdoctoral associates and their fields of interest**

Yuda Wang, *Postdoctoral Research and Teaching Associate.*

Brian McDonald,* Limited Term Assistant Professor, Ph.D. University of Rochester, 2023*. Combinatorics, analysis, probability, number theory, machine learning.

**Recent graduates and their dissertations**

**Peter Woolfitt** (Neil Lyall/Akos Magyar), *On k-degenerate Distance Graphs in Finite Fields and a Class of 2-degenerate Distance Graphs in the Integer Lattice, *2023.

**Alex Newman** (Neil Lyall/Akos Magyar), *Maximal estimates for continuous and discrete averages and an application to dense subsets of R^n, *2022.

**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.