Mathematics Department, MS 050
415 South Street
Waltham, MA 02453
Email: email@example.com Phone: 781-736-3072
Office: Goldsmith 206
I am an Instructor at Brandeis University.
My research interests are in number theory, representation theory, and algebraic geometry:
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 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)
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.