I am a classical differential geometer. My work largely concerns the classical theory of submanifolds and its manifestations in contemporary
mathematics. These may be found in hyperbolic geometry, Teichmüller theory, general relativity, integrable systems theory, differential
topology, the theory of curvature flows, and the theory of totally non-linear partial differential equations.

Key Words: hypersurfaces, fundamental forms, curvature, moduli, singularities, totally non-linear PDEs, hypoelliptic regularity, differential topology

Last Updated 23rd September 2022.