Brandon W. Levin
University of Chicago
Office: Eckhart 315
Email: bwlevin [at] math [dot] uchicago [dot] edu
I am a Dickson Instructor at University of Chicago. 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
Publications/Preprints:
Serre weights for wildly ramified three-dimensional representations
(with Daniel Le, Bao V. Le Hung, Stefano Morra), in preparation.
Weight elimination in Serre-type conjectures
(with Daniel Le, Bao V. Le Hung),
[pdf]
.
Serre weights and Breuil's lattice conjecture in dimension three
(with Daniel Le, Bao V. Le Hung, Stefano Morra),
[pdf]
.
A Harder-Narasimhan theory for Kisin modules
(with Carl Wang Erickson)
[slides]
[pdf]
.
Potentially crystalline deformation rings and Serre weight conjectures
(with Daniel Le, Bao V. Le Hung, Stefano Morra)
[summary]
[pdf]
.
Moduli spaces of Kisin modules with descent data and parahoric local models
(with Ana Caraiani) to appear in Ann. Sci. Ècole Norm. Sup.
[pdf]
.
Local models for Weil-restricted groups
Compositio Mathematica 152 (2016), no. 12, 2563-2601.
[pdf]
.
Potentially crystalline deformation rings in the ordinary case
(with Stefano Morra) Annales de l'Institut Fourier 66 (2016), no. 5, 1923-1964.
[pdf]
.
G-valued crystalline representations with minuscule p-adic Hodge type,
Algebra & Number Theory 9 (2015), no. 8, 1741-1792.
[pdf]
Teaching:
University of Chicago
2015 - 2016: Honors Calculus (Math 161-163).
Spring 2015: Analysis (Math 203).
Winter 2015: Linear algebra with applications (Math 196).
Fall 2014: Elementary Number Theory (Math 175).
Stanford University
Fall 2010: TA for Linear algebra and Multivariable calculus (Math 51).
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
)