I am mainly interested in the geometry and topology of metric spaces with lower curvature bounds. This includes several geometric objects, such as Riemannian manifolds; limits of sequences of manifolds in the Gromov-Hausdorff topology; orbifolds; stratified spaces; Alexandrov spaces; (R)CD spaces; etc.
On the other hand, I am also interested in connections between metric geometry, optimal transport, and the fast-growing field of topological data analysis.
In my current position, I am working in the setting of Lorentzian length spaces. I am intersted in various notions of convergence of this kind of spaces, as well as interactions with optimal transport.
My papers are here. I have also gathered videos of some of the talks I have given during the last few years here.