I am a PhD student in mathematics at Imperial College London. I study an intersection of probability theory, Riemannian and discrete geometry. I work under the supervision of Prof Xue-Mei Li who is a specialist in stochastic differential geometry.
Concretely, I am interested in how results on bounds of Ricci curvature on Riemannian manifolds could be generalized to a non-smooth setting by optimal transport theory. For an introduction and overview of the subject, see for example Cédric Villani’s survey or, from a somewhat different perspective, Yann Ollivier’s survey.