59 citations · 371 across the 37 of their papers we have counts for
46 papers
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…
Distributions of unramified extensions of global fields
Will Sawin, Melanie Matchett Wood
Given a finite group , we prove results on the distribution of the prime-to- part of fundamental groups of -covers of the projective line ov…
Probability theory for random groups arising in number theory
Melanie Matchett Wood
We consider the probability theory, and in particular the moment problem and universality theorems, for random groups of the sort of that arise or are conjectured to arise in numbe…
Conjectures for distributions of class groups of extensions of number fields containing roots of unity
Will Sawin, Melanie Matchett Wood
Cohen, Lenstra, and Martinet have given conjectures for the distribution of class groups of extensions of number fields, but Achter and Malle have given theoretical and numerical e…
Local and global universality of random matrix cokernels
Hoi H. Nguyen, Melanie Matchett Wood
In this paper we study the cokernels of various random integral matrix models, including random symmetric, random skew-symmetric, and random Laplacian matrices. We provide a system…
The moment problem for random objects in a category
Will Sawin, Melanie Matchett Wood
The moment problem in probability theory asks for criteria for when there exists a unique measure with a given tuple of moments. We study a variant of this problem for random objec…