37 citations · 333 across the 52 of their papers we have counts for
62 papers
Reduction modulo p of crystalline Galois representations via μ_p-equivariance
Bhargav Bhatt, Toby Gee, Mark Kisin
For a crystalline representation of the absolute Galois group of Q_p, with given Hodge-Tate weights, we obtain new constraints on the inertial weights of its mod p reduction. This…
Prescribed lifts of 2-dimensional representations
Matthew Emerton, Toby Gee, Lue Pan +1
Let F be a totally real field, and let p be prime. Under standard Taylor--Wiles hypotheses, we show that an irreducible, 2-dimensional, totally odd mod p representation of the abso…
A categorical p-adic Langlands correspondence for GL_2(Q_p)
Andrea Dotto, Matthew Emerton, Toby Gee
Let p at least 5 be prime. We construct a fully faithful functor from the derived category of all smooth p-adic representations of GL_2(Q_p) (with a fixed central character) to a d…
Modularity theorems for abelian surfaces
Toby Gee
This is a brief account of my results with George Boxer, Frank Calegari and Vincent Pilloni on the (potential) modularity of abelian surfaces.
Modularity theorems for abelian surfaces
George Boxer, Frank Calegari, Toby Gee +1
We prove the modularity of a positive proportion of abelian surfaces over . More precisely, we prove the modularity of abelian surfaces which are ordinary at and ar…
Cuspidal cohomology classes for GL_n(Z)
George Boxer, Frank Calegari, Toby Gee
We prove the existence of a cuspidal automorphic representation for of level one and weight zero. We construct using symmetric power functoriality and…