Jonathan Tidor

activity

20132026

most citedEquiangular lines with a fixed angle

65 citations · 108 across the 25 of their papers we have counts for

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3 papers · 1 filter

math.CO2024

On monochromatic solutions to linear equations over the integers

Dingding Dong, Nitya Mani, Huy Tuan Pham +1

We study the number of monochromatic solutions to linear equations in a $2$ -coloring of ${1, \dots, n}$ . We show that any nontrivial linear equation has a constant fraction of sol…

math.CO2024

More unit distances in arbitrary norms

Josef Greilhuber, Carl Schildkraut, Jonathan Tidor

For $d \geq 2$ and any norm on $R^{d}$ , we prove that there exists a set of $n$ points that spans at least $(\frac{d}{2} - o (1)) n lo g_{2} n$ unit distances under this norm for every…

math.CO2024

Multilevel polynomial partitioning and semialgebraic hypergraphs: regularity, Turán, and Zarankiewicz results

Jonathan Tidor, Hung-Hsun Hans Yu

We prove three main results about semialgebraic hypergraphs. First, we prove an optimal and oblivious regularity lemma. Fox, Pach, and Suk proved that the class of $k$ -uniform semi…