Christopher Rasmussen

collaborators

2 papers

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…