Publications:

   Preprints:

1. The strong closing lemma and Hamiltonian pseudo-rotations (with Erman Cineli). ArXiv:2210.00771. pdf
2. Subleading asymptotics of link spectral invariants and homeomorphism groups of surfaces (with Dan Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak, and Ivan Smith). ArXiv:2206.10749. pdf

   To appear:

3. A Hölder-type inequality for the C⁰ distance and Anosov-Katok pseudo-rotations (with Dusan Joksimovic). IMRN. pdf
4. PFH spectral invariants on the two-sphere and the large scale geometry of Hofer's metric (with Dan Cristofaro-Gardiner and Vincent Humilière). J. Eur. Math. Soc. (JEMS).pdf
5. Proof of the simplicity conjecture (with Dan Cristofaro-Gardiner and Vincent Humilière). Annals of Math. ArXiv:2001.01792. pdf
• Bourbaki seminar by E. Ghys. Text.
• An article on our work.
• Video.

   Published:

6. Quantitative Heegaard Floer cohomology and the Calabi invariant (with Dan Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak, and Ivan Smith). Forum Math. Pi 10 (2022), Paper No. e27, 59 pp. pdf
• Video.
7. The Anosov-Katok method and pseudo-rotations in symplectic dynamics (with Frédéric Le Roux). J. Fixed Point Theory Appl. 24 (2022), no. 2, Paper No. 36, 39 pp, special issue in honour of Claude Viterbo. pdf
8. An Arnold-type principle for non-smooth objects (with Lev Buhovsky and Vincent Humilière). J. Fixed Point Theory Appl. no. 2, Paper No. 24, 22 pp., special issue in honour of Claude Viterbo. pdf
9. Barcodes and area-preserving homeomorphisms (with Frédéric Le Roux and Claude Viterbo). Geometry & Topology, 25 (2021) 2713–2825. pdf
10. The action spectrum and C⁰ symplectic topology (with Lev Buhovsky and Vincent Humilière). Mathematische Annalen, 380(1), 293-316. 2021. pdf
• Video.
11. A C⁰ counter example to the Arnold conjecture (with Lev Buhovsky and Vincent Humilière). Inventiones Mathematicae , 213(2):759–809, 2018 pdf
• This paper has featured in an INSMI news article.
• Video.
12. Towards a dynamical interpretation of spectral invariants on surfaces (with Vincent Humilière and Frédéric Le Roux). Geometry & Topology 20-4 (2016), 2253-2334. pdf
13. Reduction of symplectic homeomorphisms (with Vincent Humilière and Rémi Leclercq). Annales de l'ENS 49 (2016), no. 3, 633-668. pdf
14. Spectral killers and Poisson bracket invariants. J. Mod. Dyn. 9 (2015), 51–66. pdf
15. Coisotropic rigidity and C⁰-symplectic topology (with Vincent Humilière and Rémi Leclercq). Duke Mathematical Journal 164 (2015), n°4, 767-799. pdf
16. New Energy-Capacity-like inequalities and uniqueness of continuous Hamiltonians (with Vincent Humilière and Rémi Leclercq). Commentarii Mathematici Helvetici 90 (2015), 1-21. pdf
17. Unboundedness of the Lagrangian Hofer distance in the Euclidean ball. Electron. Res. Announc. Math. Sci. 21 (2014), 1–7. pdf
18. The displaced disks problem via symplectic topology. C. R. Math. Acad. Sci. Paris 351 (2013), no. 21-22, 841–843. pdf
19. C⁰-limits of Hamiltonian paths and the Oh-Schwarz spectral invariants. Int. Math. Res. Not. IMRN 2013, no. 21, 4920–4960. pdf
    • Video.
20. A note on C0 rigidity of Hamiltonian isotopies. J. Symplectic Geom. 11 (2013), no. 3, 489–496. pdf
21. Uniqueness of generating Hamiltonians for topological Hamiltonian flows. J. Symplectic Geom. 11 (2013), no. 1, 37–52. pdf
22. Descent and C0-rigidity of spectral invariants on monotone symplectic manifolds. J. Topol. Anal. 4 (2012), no. 4, 481–498. pdf
23. L²-singular dichotomy for orbital measures of classical simple Lie algebras. (with Kathryn Hare and Sanjiv K. Gupta) Math. Z. 262 (2009), no. 1, 91–124. pdf

   Other writings:

1. HDR thesis.
2. Oberwolfach reports: 2017, 2019.