Cam McLeman

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20102025

most citedSpectra of Coronae

111 citations · 114 across the 8 of their papers we have counts for

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math.NT2025

Equivalence of conjectures on heavenly elliptic curves

Cam McLeman, Christopher Rasmussen

Heavenly abelian varieties are abelian varieties defined over number fields that exhibit constrained $ℓ$ -adic Galois representations for some rational prime $ℓ$ . At the ICMS…

math.NT2024

Heavenly elliptic curves over quadratic fields

Cam McLeman, Christopher Rasmussen

An abelian variety $A / K$ is heavenly at $ℓ$ if the extension $K (A [ℓ^{\infty}]) / K (μ_{ℓ^{\infty}})$ is both pro- $ℓ$ and unramified away from $ℓ$ . It is known that for…

math.NT2017

Cohen-Lenstra-Gerth Heuristics via Automorphism Counts

Nathan Jones, Cam McLeman

For a finite abelian 2-group $G$ , we study the frequency with which quadratic imaginary number fields $K$ have 2-part of their class group $K$ isomorphic to $G$ . A philosophy enunc…

math.NT2015

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…

math.NT2012

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 $F_{p}$ relates to the class number of the quadrati…

math.NT2010

A Golod-Shafarevich Equality and p-Tower Groups

Cam McLeman

All current techniques for showing that a number field has an infinite p-class field tower depend on one of various forms of the Golod-Shafarevich inequality. Such techniques can a…