Welcome on the personal webpage of David Tewodrose
Post-Doctoral Researcher in Mathematics
Université Libre de Bruxelles
My research is focused on the study of metric measure spaces. I'm interested in the tools that permit to make analysis on such spaces, with a particular taste for the heat kernel. Geometric aspects of certain classes of such spaces, like Gromov-Hausdorff limits of Riemannian manifolds, are also of my interest. In my thesis I worked on CD(0,N) and RCD(K,N) spaces, especially on spectral properties of compact RCD(K,N) spaces.
Other keywords: Riemannian geometry, non-smooth geometry, geometric flows, PI spaces, Dirichlet forms, optimal transport, manifold learning.
Publications and preprints
Short-time behavior of the heat kernel and Weyl's law on RCD*(K, N) spaces, with L. Ambrosio (SNS Pise) and S. Honda (Tohoku University). Annals of Global Analysis and Geometry, Volume 53, Issue 1, 97-119, 2018.
2019. Simons Semester Seminar, Mathematical Institute of the Polish Academy of Sciences, Varsovie, Pologne.
2019. Séminaire Théorie Spectrale et Géométrie, Institut Fourier, Grenoble, France.
2018. Mini-Workshop: ``Nonsmooth Geometry and Optimal Transport'', Scuola Normale Superiore di Pisa, Pise, Italie.
2017. Séminaire de Géométrie, Université Paris-Diderot, Paris, France.