Toby Gee

I am a Benjamin Peirce Lecturer in the the mathematics department at Harvard university.

My CV is here: pdf (updated October 2009)

Teaching

Example sheets for Math 221 may be found here.

Publications/preprints

• Companion forms for unitary and symplectic groups (with David Geraghty)
  40 pages. Preprint. (pdf)

• The Sato-Tate conjecture for Hilbert modular forms (with Thomas Barnet-Lamb and David Geraghty)
  58 pages. Submitted. (pdf)

• The conjectural connections between automorphic representations and Galois representations - preliminary version (with Kevin Buzzard)
  30 pages. Preprint. (pdf)

• Serre weights for quaternion algebras (with David Savitt)
  26 pages. Submitted. (pdf)

• The Sato-Tate conjecture for modular forms of weight 3
  Documenta Mathematica 14 (2009) 771-800. (pdf)

• Serre weights for mod p Hilbert modular forms: the totally ramified case (with David Savitt)
  23 pages. Submitted. (pdf)

• Explicit reduction modulo p of certain 2-dimensional crystalline representations (with Kevin Buzzard)
  IMRN 2009, no. 12, 2303-2317. (pdf)

• Automorphic lifts of prescribed types
  31 pages. Submitted. (pdf)

• On the weights of mod p Hilbert modular forms
  27 pages. Submitted. (pdf)

• A modularity lifting theorem for weight two Hilbert modular forms
  Mathematical Research Letters Volume 13, Issue 5, September 2006, 805-811. (pdf) Erratum (pdf)

• Companion forms over totally real fields, II
  Duke Math. Journal 136 (2007), no. 2, 275-284. (pdf)

• Companion forms over totally real fields
  Manuscripta Math. 125 (2008), no. 1, 1-41. (pdf)