Add to ORKGWe construct moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field, and relate their geometry to the weight part of Serre's conjecture for GL(2).Comment: 123 pages. Unpublished. Has been split into arXiv:2207.05235, arXiv:2207.14337, and arXiv:2207.05237 for publicatio
This article surveys modularity, level raising and level lowering questions for two-dimensional repr...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
We prove a version of the weight part of Serre's conjecture for mod $p$ Galois representations attac...
In a previous article we introduced various moduli stacks of two-dimensional tamely potentially Bars...
We establish a geometrisation of the Breuil-M\'ezard conjecture for potentially Barsotti-Tate repres...
This document consists of rough notes for a talk given at the Luminy conference on Serre’s conjectur...
Joint with Matthew EmertonThis project has received funding from the European Research Council (ERC)...
A generalization of Serre’s Conjecture asserts that if F is a totally real field, then certain chara...
A generalization of Serre’s Conjecture asserts that if F is a totally real field, then certain chara...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
A generalization of Serre’s Conjecture asserts that if F is a totally real field, then certain chara...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
We use a classification result of Chenevier and Lannes for algebraic automorphic representations tog...
In this short lecture series, we will discuss Breuil's integral p-adic Hodge theory to compute ...
We study the weight part of Serre's conjecture for generic $n$-dimensional mod $p$ Galois representa...
This article surveys modularity, level raising and level lowering questions for two-dimensional repr...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
We prove a version of the weight part of Serre's conjecture for mod $p$ Galois representations attac...
In a previous article we introduced various moduli stacks of two-dimensional tamely potentially Bars...
We establish a geometrisation of the Breuil-M\'ezard conjecture for potentially Barsotti-Tate repres...
This document consists of rough notes for a talk given at the Luminy conference on Serre’s conjectur...
Joint with Matthew EmertonThis project has received funding from the European Research Council (ERC)...
A generalization of Serre’s Conjecture asserts that if F is a totally real field, then certain chara...
A generalization of Serre’s Conjecture asserts that if F is a totally real field, then certain chara...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
A generalization of Serre’s Conjecture asserts that if F is a totally real field, then certain chara...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
We use a classification result of Chenevier and Lannes for algebraic automorphic representations tog...
In this short lecture series, we will discuss Breuil's integral p-adic Hodge theory to compute ...
We study the weight part of Serre's conjecture for generic $n$-dimensional mod $p$ Galois representa...
This article surveys modularity, level raising and level lowering questions for two-dimensional repr...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
We prove a version of the weight part of Serre's conjecture for mod $p$ Galois representations attac...