I work in Differential Geometry and Dynamical Systems, mostly around group actions on Lorentzian manifolds. Lately, I have been especially interested in pseudo-Riemannian geometry and Anosov representations.

### Preprints

- Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing, with B. Delarue and A. Sanders, arXiv:2403.14257 (2024).
- Gromov-Thurston manifolds and anti-de Sitter geometry, with J-M. Schlenker and N. Tholozan, arXiv:2310.12003 (2023).
- The Riemannian geometry of the space of compact spacelike Cauchy hypersurfaces, arXiv:2310.08469 (2023).
- Attractors in spacetimes and time functions, arXiv:1603.06994 (2016).

### Publications

- Isometries of Lorentz surfaces and convergence groups, arXiv:1402.7179,
*Mathematische Annalen (2015), 363(1), p.101-141*. - Convergence groups and semi conjugacy, arXiv:1404.2829,
*Ergodic Theory and Dynamical Systems (2016), 36(4), p.1221-1246*. - Differentiable conjugacy for groups of area preserving circle diffeomorphisms, arXiv:1402.0424,
*Transactions of the American Mathematical Society (2018), 370, p. 6357-6390*. - Critical Exponent and Hausdorff Dimension in Pseudo-Riemannian Hyperbolic Geometry, with O. Glorieux, arXiv:1606.05512,
*International Mathematics Research Notices (2021), 2021 (16), p. 12463â€“12531*. - Hausdorff dimension of limit sets for projective Anosov representations, with O. Glorieux and N. Tholozan, arXiv:1902.01844 ,
*Journal de l'Ecole Polytechnique - MathÃ©matiques, Tome 10 (2023), p. 1157-1193.*. - Regularity of limit sets of AdS quasi-Fuchsian groups, with O. Glorieux, arXiv:1809.10639 (2018), to appear in
*Mathematical Research Letters*.

### Thesis

- Lorentzian Dynamics and Groups of Circle Diffeomorphisms, defended in June 2014, prepared under the supervision of Abdelghani Zeghib.