Carl Wang Erickson
Office: Goldsmith 206
I am a postdoctoral instructor in mathematics at Brandeis University.
My research interests are in number theory, extending into certain aspects of representation theory and algebraic geometry:
- Galois representations and pseudorepresentations, families and deformations
- P-adic Hodge theory: integral theory, families and deformations
- Geometry of eigenvarieties
Papers and Preprints
With Brandon Levin: A Harder-Narasimhan theory for Kisin modules. [slides] [pdf] [abstract]
With Preston Wake: Pseudo-modularity and Iwasawa theory. [slides] [pdf] [abstract]
Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings. Submitted. [pdf] [arXiv] [abstract]
Thesis: Moduli of Galois Representations. Version 1.1. [pdf] [video]
Parameterized families of quadratic number fields with 3-rank at least 2.
Acta Arithmetica 130 (2007), no. 2, 141-147. With Nathan Kaplan, Neil Mendoza, Allison M. Pacelli, and Todd Shayler.
Orders at infinity of modular forms with Heegner divisors.
Proc. Amer. Math. Soc. 135 (2007), no. 10, 3115-3126. With Alison Miller and Aaron Pixton.
Spring 2015: Math 202b: Algebraic Geometry II. (website)
Fall 2014: Math 110a, Introduction to Real Analysis, Part I. (website)
Fall 2014: Math 203b, Topic in Number Theory: Elliptic Curves. (website)
Spring 2014: Math 20a, Techniques of Calculus: Calculus of Several Variables. (website)
Spring 2014: Math 201a, Topics in Algebra: Moduli Theory of Representations. (website)
Fall 2013: Math 20a, Techniques of Calculus: Calculus of Several Variables. (website)
Fall 2013: Math 110a, Introduction to Real Analysis, Part I. (website)
A Few Expository Writings