166 citations · 562 across the 54 of their papers we have counts for
8 papers · 1 filter
The purity locus of matrix Kloosterman sums
Márton Erdélyi, Will Sawin, Árpád Tóth
We establish the exact structure of the cohomology associated to a certain matrix exponential sum investigated in prior work (arXiv:2109.00762) of the first and last author.
An improved lower bound for the union-closed set conjecture
Will Sawin
Gilmer has recently shown that in any nonempty union-closed family of subsets of a finite set, there exists an element contained in at least a proportion of the…
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…
General multiple Dirichlet series from perverse sheaves
Will Sawin
We give an axiomatic characterization of multiple Dirichlet series over the function field , generalizing a set of axioms given by Diaconu and Pasol. The key axiom,…
The size of wild Kloosterman sums in number fields and function fields
Will Sawin
We study p-adic hyper-Kloosterman sums, a generalization of the Kloosterman sum with a parameter k that recovers the classical Kloosterman sum when k=2, over general p-adic rings a…
Hecke's Theorem on the Different for -Manifolds
Will Sawin, Mark Shusterman
Hecke has shown that the different of an extension of number fields is a square in the class group. We prove an analog for branched covers of closed -manifolds saying that the b…
Representation of Squares by Nonsingular Cubic Forms
Lasse Grimmelt, Will Sawin
We prove an asymptotic formula for the number of representations of squares by nonsingular cubic forms in six or more variables. The main ingredients of the proof are Heath-Brown's…
Finite quotients of 3-manifold groups
Will Sawin, Melanie Matchett Wood
For and finite groups, does there exist a -manifold group with as a quotient but no as a quotient? We answer all such questions in terms of the gr…