My research interests
I work at the intersection of analysis and geometry in non-smooth settings. My background is in Sobolev type spaces over metric measure spaces, and my general aim is to use analytic, geometric and topological tools to understand the structure of singular spaces.
Besides Sobolev spaces in metric spaces, my interests include metric currents, Poincaré inequalities, differentiable structures, optimal transport, and their applications to variational problems, curvature bounds, geometric measure theory, metric geometry and geometric mapping theory.