My Ph.D. and Masters students

(listed in the chronological order)

(1) Georgiy Arutunyants, Ph.D. (2005) George is currently the Head of Analytics at Prognos Inc. in Chicago, Illinois.

(2)  Doowon Koh, Ph.D. (2008) Wrote a dissertation centered around restriction/extension theory in vector spaces over finite fields. He has also done some work on sum-product problems in finite fields and is making forays into Euclidean space. Doowon is now an Assistant Professor at Chungbuk National University in Korea.

(3)  Derrick Hart, Ph.D. (2008) Derrick was an R. Hill Assistant Professor at Rutgers University and then a postdoctoral researcher at the Kansas State University. He wrote a thesis on geometric combinatorics in vector spaces over finite fields and has done much interesting work in related areas since. Derrick is now an Assistant Professor of Mathematics at

(4)  Janet Sipes, M.S. (2008) is teaching at Potts College in Indiana.

(5) Jeremy Chapman, Ph.D. (2010) wrote a thesis on finite point configurations in vector spaces over finite fields and discrete projections theorems. He is now an Assistant Professor at Lyons College in Arkansas.

(6) Le Anh Vinh, Ph.D. (2010) While Vinh was not technically my student, he got his Ph.D. in Harvard working mostly on his own on problems in geometric combinatorics in vector spaces over finite fields. I presented his thesis to the Harvard faculty prior to his graduation.

(7) David Covert, Ph.D. (2011) wrote a thesis on distribution of volumes and simplexes in vector spaces over finite fields and modules over abelian rings. He is now a lecturer at the University of Missouri-St. Louis.

(8) Steven Senger, Ph.D. (2011) wrote a thesis on sums-products in the discrete setting, orthogonal vectors related to coding theory in vector spaces over finite fields and sharpness examples pertaining to the Falconer distance problem in the continuous setting. He is now a postdoctoral researcher at the University of Delaware. Next year he will be a tenure track Assistant Professor of Mathematics at Missouri State University.

(9) Krystal Taylor, Ph.D. (2012) has a thesis on applications of generalized Radon transforms in geometric measure theory, distribution of lattice points in convex domains and related problems. She was a postdoctoral researcher at the Technion in Haifa, Israel, and is now a postdoctoral researcher at the Institute for Applied Mathematics in Minneapolis, Minnesota.

(10) Essen Aksoy, Ph.D. (2014-Projected) is writing a thesis on geometric combinatorics in modules over Z_{p^l}.

(11) Michael Bennett, Ph.D. (2015-Projected) is writing a thesis on Erdos type problems in geometric combinatorics in arithmetic and continuous settings. He has already obtained a very nice result about the distribution of triangles in subsets of two dimensional vector spaces over finite fields.

(12) Dillon Ethier, Ph.D. (2015-Projected) is writing a thesis on Erdos-Falconer type problems in vector spaces over p-adics. He is building up a tool chest of combinatorial, arithmetic and analytic techniques that interact so often in this setting.

(13) Brendan Murphy, Ph.D. (2015-Projected) is working on problems in combinatorics and analysis related to the algebraic method introduced by Dvir, and further developed by Elekes, Guth, Katz, Sharir and others in the context of problems in combinatorial geometry. He is also thinking about applications of multi-linear operators to geometric problems.

(14) Bochen Liu, Ph.D. (2017-Projected) is working on problems involving multi-linear operators and applications to geometric combinatorics.

(15) Philipp Birklbauer Ph.D. (2020-Projected) is working on problems in additive number theory.

(16) Jonathan Passant Ph.D. (2020-Projected) is working on problems in geometric combinatorics.

(17) Nikolaos Chatzikonstantinou Ph.D. (2020-Projected) is working on problem in geometric measure theory and harmonic analysis.