Brandon W. Levin

Department of Mathematics, Stanford University

Office: Math 380S

Email: bwlevin [at] math [dot] stanford [dot] edu

I am a Ph.D. student at Stanford University (expected graduation: June 2013). My advisor is Brian Conrad. You can find my CV here.

Research interests:

Integral p-adic Hodge theory
Galois deformations/modularity lifting
Local models of Shimura varieties
Geometry of affine flag varieties

Teaching:

Fall 2010: TA for Math 51 (linear algebra and multivariable calculus).
Summers 2005-2008: Counselor at PROMYS.

Expository Notes:

These notes were written for lectures I gave as a graduate student at the number theory learning seminar at Stanford. They fit in with larger series available at the seminar pages listed. Nothing beyond the presentation is original to these notes.

Schlessinger's criterion and deformation conditions (from the 2009-10 modularity lifting seminar)
Notes on Tate's article on p-divisible groups (this is part II of a series from the 2010-11 Mordell seminar)
Tate conjecture for abelian varieties over number fields (from the 2010-11 Mordell seminar)

Other seminars I have participated in (with notes online): 2011-12 seminaire Darmon/CM seminar.

About me: I grew up in Toledo, Ohio, and did my undergraduate work at Duke University. I then completed Part III of the Mathematical Tripos at Cambridge University. I currently live in Berkeley, where I enjoy running, cooking, and working on my tennis and basketball games.