Publications (36)
p-adic Hodge-theoretic properties of étale cohomology with mod p coefficients, and the cohomology of Shimura varieties
Matthew Emerton, Toby Gee
The Breuil--Mezard conjecture for quaternion algebras
Toby Gee, David Geraghty
Crystalline extensions and the weight part of Serre's conjecture
Toby Gee, Tong Liu, David Savitt
The Sato-Tate conjecture for modular forms of weight 3
Toby Gee
Explicit reduction modulo p of certain 2-dimensional crystalline representations, II
Kevin Buzzard, Toby Gee
Serre weights for mod p Hilbert modular forms: the totally ramified case
Toby Gee, David Savitt
Dimension theory and components of algebraic stacks
Matthew Emerton, Toby Gee
Serre weights for rank two unitary groups
Thomas Barnet-Lamb, Toby Gee, David Geraghty
Companion forms over totally real fields
Toby Gee
G-valued local deformation rings and global lifts
Rebecca Bellovin, Toby Gee
Potential automorphy and change of weight
Thomas Barnet-Lamb, Toby Gee, David Geraghty +1
Congruences betwen Hilbert modular forms: constructing ordinary lifts II
Thomas Barnet-Lamb, Toby Gee, David Geraghty
Lattices in the cohomology of Shimura curves
Matthew Emerton, Toby Gee, David Savitt
On the weights of mod $p$ Hilbert modular forms
Toby Gee
Explicit reduction modulo $p$ of certain crystalline representations
Kevin Buzzard, Toby Gee
The weight part of Serre's conjecture for GL(2)
Toby Gee, Tong Liu, David Savitt
Explicit Serre weights for two-dimensional Galois representations
Frank Calegari, Matthew Emerton, Toby Gee +1
The Buzzard-Diamond-Jarvis conjecture for unitary groups
Toby Gee, Tong Liu, David Savitt
Patching and the p-adic local Langlands correspondence
Ana Caraiani, Matthew Emerton, Toby Gee +3
Slopes of modular forms
Kevin Buzzard, Toby Gee
Automorphic lifts of prescribed types
Toby Gee
Local-global compatibility for l=p, I
Thomas Barnet-Lamb, Toby Gee, David Geraghty +1
Companion Forms Over Totally Real Fields, II
Toby Gee
Serre weights for quaternion algebras
Toby Gee, David Savitt
Companion Forms in Parallel Weight One
Toby Gee, Payman L Kassaei
Local-global compatibility for l=p, II
Thomas Barnet-Lamb, Toby Gee, David Geraghty +1
A modularity lifting theorem for weight 2 Hilbert modular forms
Toby Gee
Potentially crystalline lifts of certain prescribed types
Toby Gee, Florian Herzig, Tong Liu +1
The Sato-Tate conjecture for Hilbert modular forms
Thomas Barnet-Lamb, Toby Gee, David Geraghty
A geometric perspective on the Breuil-Mézard conjecture
Matthew Emerton, Toby Gee
Patching and the p-adic Langlands program for GL(2, Q_p)
Ana Caraiani, Matthew Emerton, Toby Gee +3
The conjectural connections between automorphic representations and Galois representations
Kevin Buzzard, Toby Gee
Automorphy lifting for small l
Luis Dieulefait, Toby Gee
Serre Weights for U(n)
Thomas Barnet-Lamb, Toby Gee, David Geraghty
Arthur's multiplicity formula for GSp$_4$ and restriction to Sp$_4$
Toby Gee, Olivier Taïbi
Irreducibility of automorphic Galois representations of GL(n), n at most 5
Frank Calegari, Toby Gee