BA Yale 2007
PhD Boston University 2014
My research has been on three main topics: integer complexity, Artin representations and odd perfect numbers. More broadly, my research has focused on combinatorial aspects of analytic and algebraic number theory.
Publications: On the total number of prime factors of an odd perfect number (Submitted)
Upper Bounds for the Number of Primitive Ray Class Characters With Conductor Below a Given Bound (Acta Arithmetica, 2016)- Note that the published version has tighter results than this preprint form.
Numbers with Integer Complexity Close to the Lower Bound (Integers, 2012)
Tau Numbers: A Partial Proof of a Conjecture and Other Results (Journal of Integer Sequences, 2002)
Here is a very short (4 minutes) talk on some of my research on integer complexity. This video is intended for a general audience.
Teaching: This semester, I am a recitation leader for Calculus II (Math 166), and am teaching Mathematical Ideas (Math 105).