Adam Sheffer

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20232026

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math.CO2026

The Minimum Number of Plane Graphs for Sets with Small Hulls

Alice Chen, Tara Saini, Adam Sheffer +1

Let $P$ be a set of $n$ points in $R^{2}$ , with a convex hull of size $O (n / lo g n)$ . We prove that $Ω (12.2 4^{n})$ plane graphs can be drawn on $P$ , the fir…

math.NT2026

A combinatorial large sieve for Sidon sets, distances, and norm forms

Ernie Croot, Junzhe Mao, Cosmin Pohoata +2

We develop a new combinatorial large sieve method for sets with bounded algebraic multiplicities. The method exploits algebraic splitting modulo many small primes: local congruence…