Will Sawin

activity

20242026

most citedThe sum-product conjecture is false for real numbers

1 citations · 3 across the 7 of their papers we have counts for

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math.CO2026★ 1 cited

Remarks on the disproof of the unit distance conjecture

Noga Alon, Thomas F. Bloom, W. T. Gowers +6

We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erdős unit distance conjecture, and a sequence of reflections on it. The a…

math.CO2026★ 1 cited

An explicit lower bound for the unit distance problem

Will Sawin

We show that there are sets of $n$ points in the plane with $n$ arbitrarily large that contain more than $n^{1.014}$ pairs of points separated by a distance exactly $1$ . This impro…

math.CO2024

The miracle of integer eigenvalues

Richard Kenyon, Maxim Kontsevich, Oleg Ogievetsky +3

For partially ordered sets $X$ we consider the square matrices $M^{X}$ with rows and columns indexed by linear extensions of the partial order on $X$ . Each entry $\left( M^{X}\righ…