Research

My main areas of research are hyperbolic geometry, Kleinian groups and the geometry of representation varieties. I am particularly interested in Teichmüller geometry, geometric/spectral identities, quasifuchsian groups, convex hulls of Kleinian groups, Hausdorff dimension of limit sets, renormalized volume, Patterson-Sullivan theory and generalizations of the Weil-Petersson metric to representation varieties.

Research is partially supported by NSF grant DMS-2405291