Ken Willyard

collaborators

2 papers

math.NT2026

Presentations of Galois groups of unramified extensions of global fields and its predicted distribution

Ken Willyard

Motivated by the work of Liu, we study certain canonical quotients of $G_{\emptyset}^{T} (K)$ -- the Galois group of the maximal unramified extension of a global field $K$ that is spl…

math.NT2025

The imaginary case of the nonabelian Cohen--Lenstra heuristics

Yuan Liu, Ken Willyard

For a finite group $Γ$ , we study the distribution of the Galois group $G_{\emptyset}^{#} (K)$ of the maximal unramified extension of $K$ that is split completely at $\infty$ and ha…