Toby Gee

I am a Senior Lecturer in the mathematics department at Imperial College London.

Office 672
Department of Mathematics
Imperial College
180 Queen's Gate
London SW7 2AZ
UK

toby dot gee at imperial dot ac dot uk.

My CV is here: pdf (updated February 2013)

Teaching

I taught a course on modularity lifting theorems at the 2013 Arizona Winter School, and I will teach a similar course at the 2013 MSRI summer school; the current draft notes are here.

Preprints

CoauthorsTitleLink
4Matthew Emerton and David SavittLattices in the cohomology of Shimura curvespdf
3Luis DieulefaitAutomorphy lifting for small l (Appendix B to Dieulefait's "Automorphy of Symm5(GL(2)) and base change")pdf
2Mark KisinThe Breuil-Mézard conjecture for potentially Barsotti-Tate representationspdf
1Matthew Emertonp-adic Hodge-theoretic properties of étale cohomology with mod p coefficients, and the cohomology of Shimura varietiespdf

Publications

CoauthorsTitleJournalLink
25Tong Liu and David SavittThe Buzzard-Diamond-Jarvis Conjecture for Unitary GroupsJ. Amer. Math. Soc. (to appear).pdf
24Thomas Barnet-Lamb, David Geraghty and Richard TaylorPotential automorphy and change of weightAnnals of Mathematics (to appear).pdf
23Thomas Barnet-Lamb and David GeraghtyCongruences betwen Hilbert modular forms: constructing ordinary lifts, IIMathematical Research Letters (to appear).pdf
22Thomas Barnet-Lamb and David GeraghtySerre weights for rank two unitary groupsMathematische Annalen (to appear).pdf
21Matthew EmertonA geometric perspective on the Breuil-Mézard conjectureJournal de l'Institut de Mathématiques de Jussieu (to appear).pdf
20Kevin BuzzardExplicit reduction modulo p of certain 2-dimensional crystalline representations, IIBulletin of the LMS (to appear).pdf
19Matthew Emerton and Florian HerzigWeight cycling and Serre-type conjectures for unitary groupsDuke Math. Journal (to appear).pdf
18Payman KassaeiCompanion forms in parallel weight oneCompositio Mathematica (to appear).pdf
17Frank CalegariIrreducibility of automorphic Galois representations of GL(n), n at most 5Annales de l'Institut Fourier (to appear).pdf
16Thomas Barnet-Lamb, David Geraghty and Richard TaylorLocal-global compatibility for l=p, IIAnnales scientifiques de l'ENS (to appear).pdf
15Kevin BuzzardThe conjectural connections between automorphic representations and Galois representationsProceedings of the LMS Durham Symposium 2011 (to appear).pdf
14Thomas Barnet-Lamb, David Geraghty and Richard TaylorLocal-global compatibility for l=p, IAnnales de Mathématiques de Toulouse Volume 21, Number 1, 57-92 (2012).pdf
13Thomas Barnet-Lamb and David GeraghtyCongruences betwen Hilbert modular forms: constructing ordinary liftsDuke Math. Journal 161 (2012), Number 8, 1521-1580.pdf
12Tong Liu and David SavittCrystalline extensions and the weight part of Serre's conjectureAlgebra and Number Theory (to appear).pdf
11David GeraghtyCompanion forms for unitary and symplectic groupsDuke Math. Journal 161 (2012), Number 2, 247-303.pdf
10Thomas Barnet-Lamb and David GeraghtyThe Sato-Tate conjecture for Hilbert modular formsJ. Amer. Math. Soc. 24 (2011), 411-469.pdf
9David SavittSerre weights for mod p Hilbert modular forms: the totally ramified caseJ. Reine Angew. Math. 2011:660, 1-26.pdf
8On the weights of mod p Hilbert modular formsInventiones mathematicae Volume 184, Number 1, 1-46 (2011).pdf
7David SavittSerre weights for quaternion algebrasCompositio Mathematica Volume 147, Issue 04, 1059-1086 (2011).pdf
6Automorphic lifts of prescribed typesMathematische Annalen Volume 350, Number 1, 107-144 (2011).pdf
5The Sato-Tate conjecture for modular forms of weight 3Documenta Mathematica 14 (2009) 771-800.pdf
4Kevin BuzzardExplicit reduction modulo p of certain 2-dimensional crystalline representationsIMRN 2009, no. 12, 2303-2317.pdf
3A modularity lifting theorem for weight two Hilbert modular formsMathematical Research Letters Volume 13, Issue 5, September 2006, 805-811.pdf Erratum
2Companion forms over totally real fields, IIDuke Math. Journal 136 (2007), no. 2, 275-284.pdf
1Companion forms over totally real fieldsManuscripta Math. 125 (2008), no. 1, 1-41.pdf

http://www2.imperial.ac.uk/~tsg/Index_files/photo2011.jpg