- B.S. in Math with Computer Science, MIT, 2003
- Ph.D. Pure Mathematics, UC San Diego, 2009
The most alluring problems to me are those in the intersection of algebraic number theory and analytic number theory: problems about modular forms and elliptic curves, problems about algebraic relations among special values of transcendental functions. I have two current projects: exponent-two explicit class field theory over an imaginary quadratic base field, and relations among multiple zeta values. I am also working with two University of Rochester students on finding large rational distance subsets of the plane and I have recently started helping a student at SUNY Geneseo with a project about congruence relations among numbers that converge similarly in the Collatz conjecture.