Derrick Hart

Publications

13. with S. Backman, E. Croot, M. Hamel, Sum-product inequalities with perturbation, (To be submitted).
12. with D. Covert, A. Iosevich, S. Senger, I. Uriarte-Tuero, A Furstenberg-Katznelson-Weiss type theorem on (d+1)-point configurations in sets of positive density in finite field geometries, (Submitted).
11. with E. Croot, k-fold sums from a set with few products , 19 pages. (Submitted).
10. with J. Chapman, M. B. Erdogan, A. Iosevich, D. Koh Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates, 30 pages. (Submitted).
9. with E. Croot, Sums and products in C[x], 25 pages. (Submitted).
8. with A. Iosevich, D. Koh, S. Senger, I. Uriarte-Tuero, Distance graphs in vector spaces over finite fields, coloring and pseudo-randomness, (Submitted).
7. with D. Covert, A. Iosevich, D. Koh, M. Rudnev, Generalized incidence theorems, homogeneous forms, and sum-product estimates in finite fields, (To appear in the European Journal of Combinatorics).
6. with B. Banks, P. Moree, W. Nevans, The Nicolas and Robin inequalities with sums of two squares , (To appear in Monatshefte fur Mathematik).
5. with A. Iosevich, D. Koh, M. Rudnev, Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance problem, (To appear in the Transactions of the American Mathematical Society).
4. with A. Iosevich, Sums and products in finite fields: an integral geometric viewpoint, Contemporary Mathematics: Radon transforms, geometry, and wavelets, 464 (2008).
3. with A. Iosevich, Ubiquity of simplices in subsets of vector spaces over finite fields, Anal. Math., volume 34(1), (2008), 10 pages.
2. with A. Iosevich, J. Solymosi, Sum-product estimates in finite fields via Kloosterman sums, Int. Math. Res. Notices (2007) Vol. 2007, article ID rmn007, 14 pages.
1. with B. Banks and M. Sakata, Almost all palindromes are composite, Math. Res. Lett., 11 (2004) nos.5-6, pp.853-868.

   Unpublished Notes

   A Note On Solymosi's Bound for the Multiplicative Energy of Real Numbers

   Collaborators and friends

   Spencer Backman Bill Banks Jeremy Chapman David Covert M. Burak Erdogan Ernie Croot Mariah Hamel Alex Iosevich Doowon Koh Pieter Moree Wesley Nevans Michael Lacey Misha Rudnev Mayumi Sakata Steven Senger Chun-Yen Shen Jozsef Solymosi Ignacio Uriarte-Tuero Julia Wolf Van Vu

   Georgia Institute of Technology University of Missouri University of Missouri University of Missouri University of Illinois at Urbana-Champaign Georgia Institute of Technology University of Georgia University of Missouri University of Missouri Max-Planck-Institut fuer Mathematik University of Missouri Georgia Institute of Technology University of Bristol William Jewell College University of Missouri Indiana University University of British Columbia Michigan State University Rutgers University Rutgers University