Research Interests:

    C0 symplectic geometry, symplectic dynamics, area-preserving homeomorphisms.
    Here is a, somewhat outdated, brief introductory talk on C0 symplectic geometry and two of the most well-known problems in the field.
    My research is supported by ERC Starting Grant No. 851701 : homeomorphisms in symplectic topology and dynamics (HSD).

   News and events:


   Upcoming talks and events:

   Recent talks:

   Recent events:



  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
  3.    To appear:

  4. A Hölder-type inequality for the C0 distance and Anosov-Katok pseudo-rotations (with Dusan Joksimovic). IMRN. pdf
  5. 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
  6. Proof of the simplicity conjecture (with Dan Cristofaro-Gardiner and Vincent Humilière). Annals of Math. ArXiv:2001.01792. pdf
  7.    Published:

  8. 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
  9. 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
  10. 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
  11. Barcodes and area-preserving homeomorphisms (with Frédéric Le Roux and Claude Viterbo). Geometry & Topology, 25 (2021) 2713–2825. pdf
  12. The action spectrum and C0 symplectic topology (with Lev Buhovsky and Vincent Humilière). Mathematische Annalen, 380(1), 293-316. 2021. pdf
  13. A C0 counter example to the Arnold conjecture (with Lev Buhovsky and Vincent Humilière). Inventiones Mathematicae , 213(2):759–809, 2018 pdf
  14. Towards a dynamical interpretation of spectral invariants on surfaces (with Vincent Humilière and Frédéric Le Roux). Geometry & Topology 20-4 (2016), 2253-2334. pdf
  15. Reduction of symplectic homeomorphisms (with Vincent Humilière and Rémi Leclercq). Annales de l'ENS 49 (2016), no. 3, 633-668. pdf
  16. Spectral killers and Poisson bracket invariants. J. Mod. Dyn. 9 (2015), 51–66. pdf
  17. Coisotropic rigidity and C0-symplectic topology (with Vincent Humilière and Rémi Leclercq). Duke Mathematical Journal 164 (2015), n°4, 767-799. pdf
  18. New Energy-Capacity-like inequalities and uniqueness of continuous Hamiltonians (with Vincent Humilière and Rémi Leclercq). Commentarii Mathematici Helvetici 90 (2015), 1-21. pdf
  19. Unboundedness of the Lagrangian Hofer distance in the Euclidean ball. Electron. Res. Announc. Math. Sci. 21 (2014), 1–7. pdf
  20. The displaced disks problem via symplectic topology. C. R. Math. Acad. Sci. Paris 351 (2013), no. 21-22, 841–843. pdf
  21. C0-limits of Hamiltonian paths and the Oh-Schwarz spectral invariants. Int. Math. Res. Not. IMRN 2013, no. 21, 4920–4960. pdf
  22. A note on C0 rigidity of Hamiltonian isotopies. J. Symplectic Geom. 11 (2013), no. 3, 489–496. pdf
  23. Uniqueness of generating Hamiltonians for topological Hamiltonian flows. J. Symplectic Geom. 11 (2013), no. 1, 37–52. pdf
  24. Descent and C0-rigidity of spectral invariants on monotone symplectic manifolds. J. Topol. Anal. 4 (2012), no. 4, 481–498. pdf
  25. 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
   My papers are also available at Mathscinet and at Zentralblatt. Here, you can find my (not up to date)CV.

   Other writings:

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


  1. Yuan Yao, Sep. 23- Aug. 24
  2. Erman Cinelli, Sep. 21- Aug. 24
  3. Vukašin Stojisavljević, Apr. 22-Mar. 23.
  4. Dusan Joksimovic, Jan. 21-Dec. 22.


  1. PhD, Ibrahim Trifa, current.
  2. PhD, Baptiste Serraille, current.
  3. Master's (M2), Baptiste Serraille, Sorbonne Université, 2023.
  4. Master's (M2), Ibrahim Trifa, ``Floer Homology, Spectral Invariants and Quasimorphisms," Sorbonne Université, 2022.
  5. PhD, Yusuke Kawamoto, ENS-Paris (co-supervision with Claude Viterbo) 2018-2021.
    • Article on C0 continuous and Hofer Lipshitz quasimorphisms.
    • Article on C0 continuity of the spectral norm.
  6. Master's (M2), Yusuke Kawamoto, ``Symplectic topology and persistence modules," ENS-Paris, 2018.
  7. Master's (M1), Ella Blair,`` Foliations on 3--manifolds: The Thurston--Wood thoerem," Sorbonne Université, 2018.

  8. © IMJ-PRG 2014