Adam Sheffer

most citedBisector energy and few distinct distances

4 citations · 4 across the 3 of their papers we have counts for

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math.CO2023

Structural Szemerédi-Trotter for Lattices and their Generalizations

Shival Dasu, Adam Sheffer, Junxuan Shen

We completely characterize point--line configurations with $Θ (n^{4/3})$ incidences when the point set is a section of the integer lattice. This can be seen as the main special case…

math.CO2023

Distinct Distances in $R^{3}$ Between Quadratic and Orthogonal Curves

Toby Aldape, Jingyi Liu, Gregory Pylypovych +2

We study the minimum number of distinct distances between point sets on two curves in $R^{3}$ . Assume that one curve contains $m$ points and the other $n$ points. Our main results: (…

math.CO2014★ 4 cited

Bisector energy and few distinct distances

Ben Lund, Adam Sheffer, Frank de Zeeuw

We introduce the bisector energy of an $n$ -point set $P$ in $R^{2}$ , defined as the number of quadruples $(a, b, c, d)$ from $P$ such that $a$ and $b$ determine the same perpen…

Structural Szemerédi-Trotter for Lattices and their Generalizations

Distinct Distances in R3 Between Quadratic and Orthogonal Curves

Bisector energy and few distinct distances

Distinct Distances in $R^{3}$ Between Quadratic and Orthogonal Curves