37 citations · 333 across the 52 of their papers we have counts for
7 papers · 1 filter
Automorphy lifting for small l
Luis Dieulefait, Toby Gee
We prove a slight generalization of Theorem 4.2.1 of [BLGGT10], which weakens the assumption that to an adequacy hypothesis.
The Breuil-Mézard conjecture for potentially Barsotti-Tate representations
Toby Gee, Mark Kisin
We prove the Breuil-Mézard conjecture for 2-dimensional potentially Barsotti-Tate representations of the absolute Galois group G_K, K a finite extension of Q_p, for any p>2 (up to…
Companion Forms in Parallel Weight One
Toby Gee, Payman L Kassaei
Let be prime, and let be a totally real field in which is unramified. We give a sufficient criterion for a mod Galois representation to arise from a mod Hilbe…
Congruences betwen Hilbert modular forms: constructing ordinary lifts II
Thomas Barnet-Lamb, Toby Gee, David Geraghty
In this note we improve on the results of our earlier paper[BLGG12], proving a near-optimal theorem on the existence of ordinary lifts of a mod l Hilbert modular form for any odd p…
Explicit reduction modulo p of certain 2-dimensional crystalline representations, II
Kevin Buzzard, Toby Gee
We complete the calculations begun in [BG09], using the p-adic local Langlands correspondence for GL2(Q_p) to give a complete description of the reduction modulo p of the 2-dimensi…
p-adic Hodge-theoretic properties of étale cohomology with mod p coefficients, and the cohomology of Shimura varieties
Matthew Emerton, Toby Gee
We show that the mod p cohomology of a smooth projective variety with semistable reduction over K, a finite extension of Qp, embeds into the reduction modulo p of a semistable Galo…