Since October 2020, I am a F.R.S-FNRS Research Fellow at Université Libre de Bruxelles (ULB) in Belgium, under the supervision of Pr. Davy Paindaveine. I am also affiliated to ECARES and the Department of Mathematics at ULB.
I am interested in fundamental concepts living at the intersection of probability and statistics. My aim is to bring tools from other areas such as PDE's, differential geometry and algebra to adress these questions.
During my PhD I essentially investigated the concepts of geometric (or spatial) quantiles, ranks and depths. This work revealed to have deep connections with potential theory (via Riesz potentials) and (fractional) PDE's in the form of an inverse problem.