111 citations · 114 across the 8 of their papers we have counts for
11 papers
Equivalence of conjectures on heavenly elliptic curves
Cam McLeman, Christopher Rasmussen
Heavenly abelian varieties are abelian varieties defined over number fields that exhibit constrained -adic Galois representations for some rational prime . At the ICMS…
Heavenly elliptic curves over quadratic fields
Cam McLeman, Christopher Rasmussen
An abelian variety is heavenly at if the extension is both pro- and unramified away from . It is known that for…
Cohen-Lenstra-Gerth Heuristics via Automorphism Counts
Nathan Jones, Cam McLeman
For a finite abelian 2-group , we study the frequency with which quadratic imaginary number fields have 2-part of their class group isomorphic to . A philosophy enunc…
Missing class groups and class number statistics for imaginary quadratic fields
Samuel Holmin, Nathan Jones, Pär Kurlberg +2
The number F(h) of imaginary quadratic fields with a given class number h is of classical interest: Gauss' class number problem asks for a determination of those fields counted by…
Class Numbers via 3-Isogenies and Elliptic Surfaces
Cam McLeman, Dustin Moody
We show that a character sum attached to a family of 3-isogenies defined on the fibers of a certain elliptic surface over relates to the class number of the quadrati…
Spectra of Coronae
Cam McLeman, Erin McNicholas
We introduce a new invariant, the coronal of a graph, and use it to compute the spectrum of the corona of two graphs and . In particular, we show that this spectr…