59 citations · 371 across the 37 of their papers we have counts for
5 papers · 1 filter
Cohen-Lenstra heuristics and local conditions
Melanie Matchett Wood
We prove function field theorems supporting the Cohen-Lenstra heuristics for real quadratic fields, and natural strengthenings of these analogs from the affine class group to the P…
An effective Chebotarev density theorem for families of number fields, with an application to -torsion in class groups
Lillian B. Pierce, Caroline L. Turnage-Butterbaugh, Melanie Matchett Wood
We prove a new effective Chebotarev density theorem for Galois extensions that allows one to count small primes (even as small as an arbitrarily small power of the d…
The free group on n generators modulo n+u random relations as n goes to infinity
Yuan Liu, Melanie Matchett Wood
We show that, as n goes to infinity, the free group on n generators, modulo n+u random relations, converges to a random group that we give explicitly. This random group is a non-ab…
Irreducibility of Random Polynomials
Christian Borst, Evan Boyd, Claire Brekken +3
We study the probability that a random polynomial with integer coefficients is reducible when factored over the rational numbers. Using computer-generated data, we investigate a nu…
Nonabelian Cohen-Lenstra Moments
Melanie Matchett Wood, Philip Matchett Wood
In this paper we give a conjecture for the average number of unramified -extensions of a quadratic field for any finite group . The Cohen-Lenstra heuristics are the specializ…