My research field is geometric analysis. I'm especially interested in certain classes of metric measure spaces obtained as Gromov-Hausdorff limits of Riemannian manifold.
Other keywords: Riemannian geometry, non-smooth geometry, geometric flows, PI spaces, Dirichlet forms, optimal transport, manifold learning.
Preprints:
Publications:
Limits of manifolds with a Kato bound on the Ricci curvature, avec G. Carron (Nantes Université) et I. Mondello (Université Paris-Est Créteil).
Geometry and Topology, à paraitre prochainement.
Torus stability under Kato bounds on the Ricci curvature, avec G. Carron (Nantes Université) et I. Mondello (Université Paris-Est Créteil).
Journal of the London Mathematical Society, Volume 107, Issue 3, 943--972, 2023.
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.
Proceedings:
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.