PhD student - École Normale Supérieure de Lyon
More about my research interest
During my PhD, I studied the geometry at infinity of a certain class of manifolds called asymptotically locally complex hyperbolic. They are complete, non-compact Kähler manifolds whose curvature tensor is asymptotic to the -1 holomorphic sectional curvature tensor (in particular, their holomorphic sectional curvature decays fast enough to -1) at infinity. Their asymptotic geometry is modelled on that of the complex hyperbolic space.
Under some natural conditions, I have proven that they share a lot of geometric properties with the model space: their boundary at infinity is endowed with a strictly pseudoconvex Cauchy-Riemann (CR) structure.
More generally, I am interested in differential and Riemannian geometry, with an inclination towards negative curvature and/or complete non-compact varieties. I am also interested in all aspects of differential geometry, with a particular taste for contact geometry and geometric analysis.
You can find there a research project.
Articles
Preprints
- Asymptotic strictly pseudoconvex CR structure for asymptotically locally complex hyperbolic manifolds. arXiv:2201.12132 (submitted).
Talks
Seminars
- 05/24/2022: Séminaire de Géométrie, Institut Denis Poisson, Tours.
- 05/13/2022: Differential Geometry and General Relativity Seminar, KTH, Stockholm.
- 02/16/2022: Séminaire de Géométrie, Groupes et Dynamique, UMPA, École Normale Supérieure de Lyon.
- 01/27/2022: Séminaire de Théorie Spectrale et Géométrie, IJF, University of Grenoble.
- 12/17/2021: Séminaire Darboux, IMAG, University of Montpellier.
PhD students seminars
- 11/18/2020: Heisenberg geometry. PhD students seminar, University of Montpellier.
- 02/08/2020: Heisenberg geometry. PhD students seminar, University of Lyon.
- 02/06/2019: Conformal compactification for asymptotically hyperbolic manifolds. PhD students seminar, University of Montpellier.
Work group
- 01/08/2019: Dirac operator and Lichnérowicz's formula.
Scalar curvature and Rigidity, IMAG, University of Montpellier.
- 01/01/2019: Clifford algebra and spin manifolds.
Scalar curvature and Rigidity. IMAG, University of Montpellier.
- 2016: Morse functions.
Morse theory, ENS de Lyon.
- 2015: Seifert's surfaces.
Knot theory, ENS de Lyon.
Attended conferences
Planned
- 07/04/2022-07/08/2022: Conference Complex Hyperbolic Geometry and Related Topics, CIRM, Marseille.
- 05/30/2022-06/03/2022: Conference Geometric analysis in Castro, Castro, Italy.
Past
- 03/28/2022-04/01/2022: Conference Geometry and analysis on non-compact manifolds, CIRM, Marseille.
- 07/14/2021-08/02/2021: Summer School Curvature constraints and space of metrics, IJF, Grenoble.
- 10/12/2020-10/14/2020: ANR CCEM meeting, IMAG, Montpellier.
- 09/13/2019-09/14/2019: Joint seminar on geometric analysis, CIRM, Marseille.
- 07/10/2019-07/14/2019: Conference On Geometric Analysis, IMT, Toulouse.
- 04/10/2019-04/12/2019: ANR CCEM meeting, LMJL, Nantes.
- 02/04/2019-02/06/2019: Conference Fundations of Geometric Structures of Information, Montpellier.
- 11/19/2018-11/21/2018: GDR PLaton Paroles aux jeunes chercheurs en groupes et géométrie, UCBL, Lyon.
- 01/15/2018-01/19/2018: Workshop Entropies and soficity, UCBL, Lyon.
- 01/08/2018-01/12/2018: Advanced school Entropies and soficity, UCBL, Lyon.