My Ph.D. and Masters students

(listed in the chronological order)

(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 a software developer in the Kansas City area.

(4) Janet Sipes, M.S. (2008) is teaching at the Arizona State University.

(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 Associate Professor at Lyons College in Arkansas.

(6)**Daniel Weidinger**,
M.S. (2003) wrote a masters thesis on the distribution of
lattice points in random ellipses. He is now a SETA scientist at
Shafer Corporation.

(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 was a postdoctoral researcher at the University of Delaware. Steve is now a tenure track Assistant Professor of Mathematics at Missouri State University.

**(9)** 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. Le Anh Vinh is a
professor of mathematics in Hanoi.

(10) 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 a postdoctoral researcher at the Institute for Applied Mathematics in Minneapolis, Minnesota. Krystal is now an Assistant Professor of Mathematics at the Ohio State University.

(11) Essen Aksoy, Ph.D. (2014) wrote a thesis on geometric combinatorics in modules over Z_{p^l}. She is now a postdoctoral reseacher in Ankara.

(12) Michael Bennett, Ph.D. (2015) wrote a thesis on Erdos type problems in geometric combinatorics in arithmetic and continuous settings. He is not a mathematics lecturer in the New York City area.

(13) Dillon Ethier, Ph.D. (2015) wrote a thesis on Erdos-Falconer type problems in vector spaces over p-adics. He is working in industry.

(14) Brendan Murphy, Ph.D. (2015) wrote a thesis 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 a postdoctoral researcher at the University of Bristol.

**(15) **__Bochen
Liu__, Ph.D. (2017) wrote a thesis on problems
in geometric measure theory pertaining to the existence of
geometric configuration in thin sets.

**(16)** **Philipp Birklbauer** Ph.D.
(2019-Projected) is working on problems in additive number
theory.

**(17)** **Dionel Jamie**, Masters (2019) is working on
problems in frame theory.

**(18)** **Jonathan Passan**t Ph.D.
(2020-Projected) is working on problems in geometric
combinatorics.

**(19) **__Nikolaos Chatzikonstantinou__ Ph.D.
(2020-Projected) is working on problem in geometric measure
theory and harmonic analysis.

**(20) Belmiro Galo** Ph.D. (2021-Projected) is working on
the functional variants of the simplex distribution estimates.

**(21) Alex McDonald** Ph.D. (2021-Projected) is working on
the distribution of finite point configurations in vector spaces
over finite fields.

**(22) Brianna Vick** Ph.D. (2022-Projected) is working rapid
generation of matrix groups and fractal projection theorems.

**(23) Gail Jardine** Ph.D. (2022-Projected) is working on
sum-product inequalities and the distribution of triangles in
vector spaces over finite fields.

**(24) Firdavs Rakhmonov** Ph.D. (2023-Projected) is working
on computational problems in geometric combinatorics.

(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 a software developer in the Kansas City area.

(4) Janet Sipes, M.S. (2008) is teaching at the Arizona State University.

(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 Associate Professor at Lyons College in Arkansas.

(6)

(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 was a postdoctoral researcher at the University of Delaware. Steve is now a tenure track Assistant Professor of Mathematics at Missouri State University.

(10) 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 a postdoctoral researcher at the Institute for Applied Mathematics in Minneapolis, Minnesota. Krystal is now an Assistant Professor of Mathematics at the Ohio State University.

(11) Essen Aksoy, Ph.D. (2014) wrote a thesis on geometric combinatorics in modules over Z_{p^l}. She is now a postdoctoral reseacher in Ankara.

(12) Michael Bennett, Ph.D. (2015) wrote a thesis on Erdos type problems in geometric combinatorics in arithmetic and continuous settings. He is not a mathematics lecturer in the New York City area.

(13) Dillon Ethier, Ph.D. (2015) wrote a thesis on Erdos-Falconer type problems in vector spaces over p-adics. He is working in industry.

(14) Brendan Murphy, Ph.D. (2015) wrote a thesis 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 a postdoctoral researcher at the University of Bristol.