George J. Schaeffer

Assistant Adjunct Professor
UCLA Department of Mathematics

Research

My research lies principally within the field of computational number theory. I am interested in computational problems related to mod p modular forms and their associated Galois representations (Serre's conjecture), elliptic curve cryptography, and the construction of number fields with specified invariants.

I completed my PhD at UC Berkeley. My dissertation concerns a "Hecke stability method" for computing spaces of weight 1 cusp forms mod p for all p simultaneously. My dissertation advisor was Akshay Venkatesh. The most recent version of my research statement is available here. For a quick summary of my research, please see some slides from a recent talk here.

Other topics I have been interested in recently: Galois representations attached to mod pⁿ modular forms, zeros of modular forms, and isogeny graphs (on Γ₀-level structures).

In the past I have done research on algebraic factorization theory, mainly in collaboration with Scott T. Chapman, Paul Baginski, and the algebra group at Karl-Franzens-Universität Graz, Austria.

A list of my publications (with links!) is forthcoming. For now, please refer to my CV.

Teaching

Math 3B/1 Calculus for Life Sciences Students (UCLA, Spring 2013)
Math 131A/1 Analysis (UCLA, Winter 2013)
Math 115A/5 Linear Algebra (UCLA, Fall 2012)
Math 116 Introduction to Mathematical Cryptography (UC Berkeley, Summer 2012)
Math 16A Analytic Geometry & Calculus (UC Berkeley, Spring 2011)

Contact

Email: gschaeff@math.ucla.edu
Office: MS 5226 (Mathematical Sciences Building)