Will Sawin

collaborators

3 papers

math.NT2026

Counting number fields of fixed degree by their smallest defining polynomial

Santiago Arango-Piñeros, Fabian Gundlach, Robert J. Lemke Oliver +5

When do two irreducible polynomials with integer coefficients define the same number field? One can define an action of $GL_{2} \times GL_{1}$ on the space of polynom…

math.NT2025

Short sums of trace functions over function fields and their applications

Will Sawin, Mark Shusterman

For large enough (but fixed) prime powers $q$ , and trace functions to squarefree moduli in $F_{q} [u]$ with slopes at most $1$ at infinity, and no Artin--Schreier factors in…

math.CO2025

The independence and clique cover numbers of the squarefree graph

Boris Alexeev, Dustin G. Mixon, Will Sawin

We determine the largest subset $A \subseteq {1, \dots, n}$ such that for all $a, b \in A$ , the product $ab$ is not squarefree. Specifically, the maximum size is achieved by the comp…