I did my PhD. under the supervision of Colin Guillarmou (Sept. 2017 — Dec. 2019). I was funded by an AMX grant from the Ecole Polytechnique. I also receive funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 725967).
Publications
Preprints
- Local rigidity of manifolds with hyperbolic cusps II. Nonlinear theory, with Yannick Guedes Bonthonneau.
- Geodesic stretch, pressure metric and marked length spectrum rigidity, with Colin Guillarmou and Gerhard Knieper,
- Local rigidity of manifolds with hyperbolic cusps I. Linear theory and pseudodifferential calculus, with Yannick Guedes Bonthonneau,
Geometric inverse problems
- The marked length spectrum of Anosov manifolds, with Colin Guillarmou, to appear in Annals of Mathematics, vol. 190, n°1 (2019)
- Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces, to appear in Commentarii Mathematici Helvetici (2019)
- Local marked boundary rigidity under hyperbolic trapping assumptions, to appear in Journal of Geometric Analysis (2019)
- On the s-injectivity of the X-ray transform for manifolds with hyperbolic trapped set, Nonlinearity, vol. 32, n°4 (2019), 1275–1295
Dynamical systems
- Classical and microlocal analysis of the X-ray transform on Anosov manifolds, with Sébastien Gouëzel, to appear in Analysis and PDE (2019)
- On the genericity of the shadowing property for conservative homeomorphisms, with Pierre-Antoine Guihéneuf, Proceedings of the AMS, vol. 146, n°10 (2018), 4225–4237
Slides
- On the rigidity of Riemannian manifolds, slides of my Ph.D defense, Orsay, France, December 2019,
- Local rigidity of manifolds with hyperbolic cusps, slides of a talk given at the MSRI, Berkeley, USA, November 2019,
- The X-ray transform on Anosov manifolds, video of a talk given at the conference « Probing the Earth with microlocal analysis », BIRS, Banff, Canada, April 2019. The slides are available here.
Unpublished texts
- On the rigidity of Riemannian manifolds, the manuscript of my thesis,
- Introduction to inverse geometric problems, second master degree’s thesis, under the supervision of Colin Guillarmou,
- Topological dynamics, first master degree’s thesis, under the supervision of Alexander Arbieto, Research award of the Ecole Polytechnique,
- A poster explaining my research (in french), presented at the conference « Echos des Sciences », Orsay, March 2018,
- From the local to the global injectivity of the X-ray transform, a note presented at the conference « Analytic studies of flows », Peyresq, June 2018
