G. J. Schaeffer

activity

20092021

collaborators

4 papers

math.NT2021

Totally real algebraic integers of arboreal height 2

George J. Schaeffer

In arXiv:1302.4423, Salez proved that every totally real algebraic integer is the eigenvalue of some tree. We define the "arboreal height" of a totally real algebraic integer $λ$ t…

math.NT2016

Detecting large simple rational Hecke modules for $Γ_{0} (N)$ via congruences

Michael Lipnowski, George J. Schaeffer

We describe a novel method for bounding the dimension $d$ of the largest simple Hecke submodule of $S_{2} (Γ_{0} (N); Q)$ from below. Such bounds are of interest because of their…

math.NT2014

Hecke stability and weight 1 modular forms

George J. Schaeffer

The Galois representations associated to weight $1$ newforms over $F ˉ_{p}$ are remarkable in that they are unramified at $p$ , but the computation of weight $1$ modular…

math.AC2009

On the arithmetic of Krull monoids with infinite cyclic class group

A. Geroldinger, D. J. Grynkiewicz, G. J. Schaeffer +1

Let $H$ be a Krull monoid with infinite cyclic class group $G$ and let $G_{P} \subset G$ denote the set of classes containing prime divisors. We study under which conditions on $G_{P}$ …

Totally real algebraic integers of arboreal height 2

Detecting large simple rational Hecke modules for Γ0​(N) via congruences

Hecke stability and weight 1 modular forms

On the arithmetic of Krull monoids with infinite cyclic class group

Detecting large simple rational Hecke modules for $Γ_{0} (N)$ via congruences