School of Science Department of Mathematics

Updated on 2025/04/18
Graduate School of Science Department of Mathematics
Professor 2025.04 - Now
School of Science Department of Mathematics
Professor 2025.04 - Now
PhD ( Others ) ( California Institute of Technology )
Natural Science / Algebra / Number Theory, Automorphic Forms
My primary interests lie at the intersection of number theory and algebra, particularly understanding and discovering algebraic structures in arithmetic, and connecting different types of objects (modular forms, automorphic representations, representations of p-adic groups, L-functions, quaternion algebras, algebraic groups, elliptic curves, genus 2 curves, ...). Much of this is done with group theory, representation theory, harmonic analysis, and/or computations. I've also done a bit with graph theory, combinatorial optimization and spectral geometry.