37 citations · 333 across the 52 of their papers we have counts for
4 papers · 1 filter
General Serre weight conjectures
Toby Gee, Florian Herzig, David Savitt
We formulate a number of related generalisations of the weight part of Serre's conjecture to the case of GL(n) over an arbitrary number field, motivated by the formalism of the Bre…
"Scheme-theoretic images" of morphisms of stacks
Matthew Emerton, Toby Gee
We give criteria for certain morphisms from an algebraic stack to a (not necessarily algebraic) stack to admit an (appropriately defined) scheme-theoretic image. We apply our crite…
Potentially crystalline lifts of certain prescribed types
Toby Gee, Florian Herzig, Tong Liu +1
We prove several results concerning the existence of potentially crystalline lifts with prescribed Hodge-Tate weights and inertial types of a given n-dimensional mod p representati…
Slopes of modular forms
Kevin Buzzard, Toby Gee
We survey the progress (or lack thereof!) that has been made on some questions about the p-adic slopes of modular forms that were raised by the first author in [Buz05], discuss str…