M. Steinmetz

activity

20142023

collaborators

4 papers

math.NT2023

Packets of Serre weights for generic locally reducible two-dimensional Galois representations

Misja F. A. Steinmetz

Suppose $K / Q_{p}$ is finite and $r : G_{K} \to GL_{2} (F_{p})$ is a reducible Galois representation. In this paper we prove that we can u…

math.NT2022

Explicit Serre weights for GL_2 via Kummer theory

Robin Bartlett, Misja F. A. Steinmetz

We give an explicit formulation of the weight part of Serre's conjecture for GL_2 using Kummer theory. This avoids any reference to p-adic Hodge theory. The key inputs are a descri…

math.NT2020

Explicit Serre weights for two-dimensional Galois representations over a ramified base

Misja F. A. Steinmetz

Given a totally real number field $F$ and a mod $p$ Galois representation $ρ : G_{F} \to GL_{2} (F ˉ_{p})$ , we propose an explicit definition of the set of Serre…

math.GR2014

Asypmtotic Behaviour of the Conjugacy Probability of the Alternating Group

Misja F. A. Steinmetz, Madeleine L. Whybrow

For $G$ a finite group, let $κ (G)$ be the probability that $σ, τ \in G$ are conjugate, when $σ$ and $τ$ are chosen independently and uniformly at random. In this paper, we extend the…