Matt Litman

Graduate Student in Mathematics, UC Davis

Graduate Student in Mathematics, UC Davis

I am a third year graduate student in the pure mathematics group at UC Davis interested in arithmetic and analytic number theory, centered around backwards continued fractions and expansions of the Riemann xi function respectively. In particular, I study the use of backwards continued fractions in approximations of real numbers, in the reduction theory of quadratic forms, and in the classification of equivalence classes of geodesics on the modular surface. As for analytic number theory, I study expansions of the Riemann xi function with respect to different orthogonal bases, and determine the asymptotic behaviour of the coefficient sequences.