Research Interests: I am interested in the geometry and topology of arithmetic hyperbolic manifolds and more generally, arithmetic locally symmetric spaces. In particular, I like to consider questions which arise in spectral geometry; that is, the extent to which one can "hear" the geometry of a manifold given knowledge of its Laplace eigenvalue spectrum or geodesic length spectrum.

Undergraduate research: If you are a student at Oberlin and are interested in conducting research in algebraic number theory or hyperbolic geometry, please let me know. Preferred prerequisites are number theory and rings and fields for algebraic number theory, and geometry (or topology) and group theory for hyperbolic geometry.