## Carl Wang Erickson

Mathematics Department, MS 050

Brandeis University

415 South Street

Waltham, MA 02453

Email: cwe@brandeis.edu

Phone: 781-736-3072

Office: Goldsmith 206

I am an Instructor at Brandeis University.

CV [pdf]

### Research Interests

My research interests are in number theory, representation theory, and algebraic geometry:

- Galois representations and pseudorepresentations, families and deformations
- P-adic Hodge theory: integral theory, families and deformations
- Eigenvarieties

### Papers and Preprints

Thesis: Moduli of Galois Representations. Version 1.1. [pdf] [video]

#### Older Papers

*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.

### Current Teaching

Spring 2014: Math 20a, Techniques of Calculus: Calculus of Several Variables. (website)

Spring 2014: Math 201a, Topics in Algebra: Moduli Theory of Representations. (website)

### Past Teaching

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

Formal
Groups A brief introduction to formal groups in number theory,
intended for Harvard Math 223a students.

Ribet's
Converse to Herbrand's Theorem An essay written for the Cambridge
Part III program, covering Ribet's article.

Prime
Numbers and the Riemann Hypothesis, notes for a talk to advanced
high schoolers in the PROMYS program.

Cyclotomic
Fields, a talk discussing the connection between Kummer's
criterion and Fermat's last theorem.