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. Weekly Seminar Schedule