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Derrick Hart
Researcher at Rutgers University
Publications - 35
Citations - 831
Derrick Hart is an academic researcher from Rutgers University. The author has contributed to research in topics: Finite field & Vector space. The author has an hindex of 14, co-authored 35 publications receiving 747 citations. Previous affiliations of Derrick Hart include Georgia Institute of Technology & University of Missouri.
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Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture
TL;DR: In this article, a pointwise and average bound for the number of incidences between points and hyperplanes in vector spaces over finite fields has been established, and the Erdos-Falconer distance conjecture does not hold in this setting.
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Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates
TL;DR: In this article, the authors improved the exponent of the Falconer distance problem in the finite field setting to Ω(d+1/Ωd+2/2d-1) using Fourier analytic methods and showed that this exponent is sharp in odd dimensions.
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Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture
TL;DR: In this article, a point-wise and average bound for the number of incidences between points and hyperplanes in vector spaces over finite fields was established. But the Erdos-Falconer distance conjecture does not hold in this setting due to the influence of the arithmetic.
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Sum-product Estimates in Finite Fields via Kloosterman Sums
TL;DR: In this paper, improved sum-product bounds for finite fields using incidence theorems based on bounds for classical Kloosterman and related sums were established, and they were used to establish improved sumproduct bounds in finite fields.
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Group actions and geometric combinatorics in Fd/q
TL;DR: In this article, the authors apply a group action approach to the study of Erdős-Falconer-type problems in vector spaces over finite fields and use it to obtain non-trivial exponents for the distribution of simplices.