David Geraghty

School of Mathematics
Institute for Advanced Study
Einstein Drive
Princeton, NJ 08540
Email: geraghty[at]math[dot]ias[dot]edu

I am a Veblen Research Instructor at Princeton University and the IAS.

Publications and Preprints

"Serre weights for rank two unitary groups" (with Thomas Barnet-Lamb and Toby Gee) pdf

"Local-global compatibility for l=p, II" (with Thomas Barnet-Lamb, Toby Gee and Richard Taylor) pdf

"Local-global compatibility for l=p, I" (with Thomas Barnet-Lamb, Toby Gee and Richard Taylor) pdf

"Potential automorphy and change of weight" (with Thomas Barnet-Lamb, Toby Gee and Richard Taylor) pdf [Updated October 2010]

"Congruences between Hilbert modular forms: constructing ordinary lifts in parallel weight two" (with Thomas Barnet-Lamb and Toby Gee) pdf

"Companion forms for unitary and symplectic groups" (with Toby Gee) pdf

"The Sato-Tate conjecture for Hilbert modular forms" (with Thomas Barnet-Lamb and Toby Gee) pdf
J. Amer. Math. Soc. 24 (2011), 411-469.

"A family of Calabi-Yau varieties and potential automorphy II" (with Thomas Barnet-Lamb, Michael Harris and Richard Taylor) pdf
Publ. Res. Inst. Math. Sci. 47 (2011), no. 1, 29-98.

"Modularity lifting theorems for ordinary Galois representations" pdf