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


	Coauthors	Title	Link
4	Matthew Emerton and David Savitt	Lattices in the cohomology of Shimura curves	pdf
3	Luis Dieulefait	Automorphy lifting for small l (Appendix B to Dieulefait's "Automorphy of Symm⁵(GL(2)) and base change")	pdf
2	Mark Kisin	The Breuil-Mézard conjecture for potentially Barsotti-Tate representations	pdf
1	Matthew Emerton	p-adic Hodge-theoretic properties of étale cohomology with mod p coefficients, and the cohomology of Shimura varieties	pdf

Publications


	Coauthors	Title	Journal	Link
25	Tong Liu and David Savitt	The Buzzard-Diamond-Jarvis Conjecture for Unitary Groups	J. Amer. Math. Soc. (to appear).	pdf
24	Thomas Barnet-Lamb, David Geraghty and Richard Taylor	Potential automorphy and change of weight	Annals of Mathematics (to appear).	pdf
23	Thomas Barnet-Lamb and David Geraghty	Congruences betwen Hilbert modular forms: constructing ordinary lifts, II	Mathematical Research Letters (to appear).	pdf
22	Thomas Barnet-Lamb and David Geraghty	Serre weights for rank two unitary groups	Mathematische Annalen (to appear).	pdf
21	Matthew Emerton	A geometric perspective on the Breuil-Mézard conjecture	Journal de l'Institut de Mathématiques de Jussieu (to appear).	pdf
20	Kevin Buzzard	Explicit reduction modulo p of certain 2-dimensional crystalline representations, II	Bulletin of the LMS (to appear).	pdf
19	Matthew Emerton and Florian Herzig	Weight cycling and Serre-type conjectures for unitary groups	Duke Math. Journal (to appear).	pdf
18	Payman Kassaei	Companion forms in parallel weight one	Compositio Mathematica (to appear).	pdf
17	Frank Calegari	Irreducibility of automorphic Galois representations of GL(n), n at most 5	Annales de l'Institut Fourier (to appear).	pdf
16	Thomas Barnet-Lamb, David Geraghty and Richard Taylor	Local-global compatibility for l=p, II	Annales scientifiques de l'ENS (to appear).	pdf
15	Kevin Buzzard	The conjectural connections between automorphic representations and Galois representations	Proceedings of the LMS Durham Symposium 2011 (to appear).	pdf
14	Thomas Barnet-Lamb, David Geraghty and Richard Taylor	Local-global compatibility for l=p, I	Annales de Mathématiques de Toulouse Volume 21, Number 1, 57-92 (2012).	pdf
13	Thomas Barnet-Lamb and David Geraghty	Congruences betwen Hilbert modular forms: constructing ordinary lifts	Duke Math. Journal 161 (2012), Number 8, 1521-1580.	pdf
12	Tong Liu and David Savitt	Crystalline extensions and the weight part of Serre's conjecture	Algebra and Number Theory (to appear).	pdf
11	David Geraghty	Companion forms for unitary and symplectic groups	Duke Math. Journal 161 (2012), Number 2, 247-303.	pdf
10	Thomas Barnet-Lamb and David Geraghty	The Sato-Tate conjecture for Hilbert modular forms	J. Amer. Math. Soc. 24 (2011), 411-469.	pdf
9	David Savitt	Serre weights for mod p Hilbert modular forms: the totally ramified case	J. Reine Angew. Math. 2011:660, 1-26.	pdf
8		On the weights of mod p Hilbert modular forms	Inventiones mathematicae Volume 184, Number 1, 1-46 (2011).	pdf
7	David Savitt	Serre weights for quaternion algebras	Compositio Mathematica Volume 147, Issue 04, 1059-1086 (2011).	pdf
6		Automorphic lifts of prescribed types	Mathematische Annalen Volume 350, Number 1, 107-144 (2011).	pdf
5		The Sato-Tate conjecture for modular forms of weight 3	Documenta Mathematica 14 (2009) 771-800.	pdf
4	Kevin Buzzard	Explicit reduction modulo p of certain 2-dimensional crystalline representations	IMRN 2009, no. 12, 2303-2317.	pdf
3		A modularity lifting theorem for weight two Hilbert modular forms	Mathematical Research Letters Volume 13, Issue 5, September 2006, 805-811.	pdf Erratum
2		Companion forms over totally real fields, II	Duke Math. Journal 136 (2007), no. 2, 275-284.	pdf
1		Companion forms over totally real fields	Manuscripta Math. 125 (2008), no. 1, 1-41.	pdf