Welcome on the personal webpage of David Tewodrose
Enseignant-chercheur in Mathematics
CY Cergy Paris University
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
Asymptotic Mean Value Laplacian in Metric Measure Spaces, with A. Minne (KTH Stockholm), Journal of Mathematical Analysis and Applications 491(2), 2020.
A survey on spectral embeddings and their application in data analysis, to appear in Actes du séminaire Théorie Spectrale et Géométrie (Grenoble, Institut Fourier), 2020.
A rigidity result for metric measure spaces with Euclidean heat kernel, with G. Carron (Université de Nantes), 2019.
Embedding of RCD*(K,N) spaces in L^2 via eigenfuntions, with L. Ambrosio (SNS Pise), S. Honda (Tohoku University) and J. Portegies (Eindhoven University), 2018.
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 53(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.