(Pré)publications:
- Higher dimensional Birkhoff attractors (with Marie-Claude Arnaud and Claude Viterbo) ArXiv 2404.00804. pdf
- Essential loops of Hamiltonian homeomorphisms (with Alexandre Jannaud and Rémi Leclercq) ArXiv 2311.12164. pdf
- Morse theory with DG coefficients (with Jean-François Barraud, Mihai Damian and Alexandru Oancea) ArXiv 2308.06104. pdf
- The γ-support as a micro-support (with Tomohiro Asano, Stéphane Guillermou, Yuichi Ike and Claude Viterbo). Comptes Rendus de l'académie des sciences, Volume 361 (2023), p. 1333-1340. pdf
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Subleading asymptotics of link spectral invariants and homeomorphism
groups of surfaces (with Dan Cristofaro-Gardiner, Cheuk-Yu Mak, Sobhan Seyfaddini and Ivan Smith) ArXiv 2206:10749. pdf
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Quantitative Heegaard Floer cohomology and the Calabi invariant (with Dan Cristofaro-Gardiner, Cheuk-Yu Mak, Sobhan Seyfaddini and Ivan Smith). Forum of Math, Pi. 10. 2022. pdf
- PFH spectral invariants on the two-sphere and the large scale geometry of Hofer's metric (with Dan Cristofaro-Gardiner and Sobhan Seyfaddini). To appear in Journal of the European Mathematical Society. ArXiv 2102.04404.pdf
- Proof of the simplicity conjecture (with Dan Cristofaro-Gardiner and Sobhan Seyfaddini) Annals of Math. (2), 199:181–257, 2024.. pdf
- Un lemme de fermeture C∞, d'après Asaoka et Irie. Séminaire Bourbaki, nov 2019. Astérisque 430 (2021). pdf, video.
- An Arnold-type principle for non-smooth objects (with Lev Buhovsky and Sobhan Seyfaddini). Journal of Fixed Point theory, 24, 2022. Special issue in honnour of Claude Viterbo. ArXiv 1909.07081. pdf
- The action spectrum and C0 symplectic topology (with Lev Buhovsky and Sobhan Seyfaddini). Mathematische Annalen, 380(1), 293-316. 2021. pdf
- A C0 counter example to the Arnold conjecture (with Lev Buhovsky and Sobhan Seyfaddini). Inventiones Mathematicae, 213(2):759–809, 2018. pdf
- Towards a dynamical interpretation of spectral invariants on surfaces (with Frédéric Le Roux and Sobhan Seyfaddini). Geometry & Topology 20-4 (2016), 2253-2334. pdf
- Reduction of symplectic homeomorphisms (with Rémi Leclercq and Sobhan Seyfaddini). Annales de l'ENS 49 (2016), no. 3, 633-668. pdf
- Coisotropic rigidity and C0-symplectic topology (with Rémi Leclercq and Sobhan Seyfaddini). Duke Mathematical Journal 164 (2015), n°4, 767-799. pdf
- New Energy-Capacity-like inequalities and uniqueness of continuous Hamiltonians (with Rémi Leclercq and Sobhan Seyfaddini). Commentarii Mathematici Helvetici 90 (2015), 1-21 pdf
- Hofer's distance on diameters and the Maslov index. Int Math Res Notices 15 (2012), 3415-3433 pdf
- On the geometry of the space of smooth fibrations (with Nicolas Roy). Annals of Global Analysis and Geometry. 37 (2010), no. 3, 307-320 pdf
- The Calabi invariant for some groups of homeomorphisms. Journal of Symplectic Geometry. 9 (2011), 107-117 pdf
- Hamiltonian pseudo-representations. Commentarii Mathematici Helvetici 84 (2009), 571-585. pdf
- On some completions of the space of Hamiltonian maps.
Bulletin de la Société Mathématique de France. 136, fascicule 3, 2008. pdf
My papers are also on ArXiv (not always up-to-date), on Mathscinet and on Zentralblatt.
Other texts:
- Code-barres et reconnaissance de forme. Article de vulgarisation pour Images des maths.
- HDR dissertation: C⁰-symplectic geometry and action selectors.
- Lecture notes for a mini-course " Symplectic action selectors and applications", given in the winter school held in Padova, in Feb 2018: pdf.
- Lecture notes: Introduction à la topologie symplectique, homologie de Floer (2017 - in French): pdf.
- A very brief introduction to C0-symplectic topology (written in July 2012 and completely outdated! For an updated treatment, have a look at Chapter 2 in my HDR.): pdf.
- PhD dissertation: pdf.
Conferences:
- Conference Viterbo 2024, in IHP, Paris, 3-7 June 2024.
- From smooth to C⁰ symplectic geometry: topological aspects and dynamical implications in CIRM, Luminy, France, July 3-7 2023.
- Thematic trimester on symplectic and contact geometry in IHP, Paris, April-July 2021.
- C^0 aspects of symplectic geometry and Hamiltonian dynamics, Technion, Haifa, 12-16 May 2019.
- Mini-workshop on C0-symplectic geometry and Hamiltonian dynamics, IHP, 18-22 January 2016.
- The 2016 IMJ-PRG summer school on Symplectic topology, sheaves and mirror symmetry. (Notes and posters are online)
Seminars:
ANR projects:
Encadrement:
- 2020-... Francesco Morabito. (Doctorant)
- 2022. Mohamadreza Farshidfar. Feral curves and applications to dynamics. Mémoire de M2.
- 2022. Salammbo Connolly. Distance de Hofer sur les espaces de diamètres. TER (Mémoire de M1).
- 2016-2020 Alexandre Jannaud. Dehn-Seidel twist, C0-symplectic topology and barcodes. Mémoire de thèse
- 2019-2020. Francesco Morabito Homologie de Floer et homologie des fonctions génératrices. Mémoire de M2.
- 2018-2019. Victor Fournet. Le h-principe. TER (mémoire de M1). mémoire en pdf, (Très bonne introduction au h-principe, avec tous les détails sur l'intégration convexe).
- 2017-2018. Iskandar Boucharenc. Le quatrième problème de Hilbert. TER (mémoire de M1).
- 2015-2016. Alexandre Jannaud. La conjecture Conley. (Mémoire de M2).
- 2014-2015. Brian Tervil. Rigidité en topologie de contact. (Mémoire de M2).
- 2012-2013. Solène Heitzmann. Feuilletages et théorème de Novikov. TER (mémoire de M1).
- 2011-2012. Nestor Leon Delgado. Convexity theorem for toric actions. TER (mémoire de M1).
- 2011-2012. Juliette Bavard. Classification des surfaces par la théorie de Morse. TER (mémoire de M1).
- Juin 2010. Nassima Keddari. Les difféomorphismes de la sphère. Stage de M1.