Leonid Ryvkin

Mathematician · Maître de conférences in Université Claude Bernard Lyon 1

I am a mathematician working in differential geometry and mathematical physics. My research interests include multisymplectic geometry, singular foliations, simplicial and graded manifolds. I am a Maître de conférences (Assistant/ Associate professor) at the Institut Camille Jordan of the University Claude Bernard Lyon 1.

From 01. April 2024 to 31. March 2025, I am on a research stay at the mathematical institute of the University of Göttingen.

Publications and Preprints

Scientific publications

  1. Reduction of L-infinity-algebras of observables on multisymplectic manifolds, 2022, with Casey Blacker and Antonio Miti, accepted for publication in SIGMA, also available at arXiv:2206.03137
  2. On Dirac structures admitting a variational approach, Mathematics and Mechanics of Complex Systems, 2023 with Oscar Cosserat, Camille Laurent-Gengoux, Alexei Kotov and Vladimir Salnikov, availabvle at: arXiv:2109.00313
  3. The holonomy of a singular leaf, with Camille Laurent-Gengoux, 2021, Selecta Mathematica, also available on the arXiv:1912.05286.
  4. The L-infinity-algebra of a symplectic manifold, with Bas Janssens and Cornelia Vizman, 2021, the Pacific Journal of Mathematics, available on the arXiv:2012.03836.
  5. The neighbourhood of a singular leaf, with Camille Laurent-Gengoux, 2021, Journal de l'École polytechnique.
  6. On the extension problem for weak moment maps, with Leyli Mammadova, 2021, Homology, Homotopy and Applications, also available on the arXiv:2001.00264.
  7. Multisymplectic actions of compact Lie groups on spheres, with Antonio Michele Miti, 2020, Journal of Symplectic Geometry.
  8. An invitation to multisymplectic geometry, with Tilmann Wurzbacher, Journal of Geometry and Physics, 2019. Also on the arXiv.
  9. Conserved quantities on multisymplectic manifolds, with Tilmann Wurzbacher and Marco Zambon, Journal of the Australian Mathematical Society, 2019. Also on the arXiv.
  10. Observables and Symmetries of n-Plectic Manifolds , BestMasters. Springer Spektrum Verlag, Wiesbaden, 2016.
  11. Existence and unicity of co-moments in multisymplectic geometry. with Tilmann Wurzbacher, Journal of Differential Geometry and Applications, 2015. Also on the arXiv.


  • New paper: Differentiating Lie infinity groupoids -- Part I, 2023, with Du Li, Arne Wessel and Chenchang Zhu arXiv:2309.00901


Events and Activities




  • From 07. to 09. December 2022, I organized the Atelier on higher structures in differential geometry in Lyon.
  • On the 12. October 2022, I gave a short talk at the meeting of the PSPM group at the Institut Camille Jordan in Lyon.
  • On the 10. October 2022, I spoke in the virtual SFARS seminar.
  • On the 30. September 2022, I gave a talk at the mathematical physics seminar at the Institut Camille Jordan in Lyon.
  • In August 2022, I gave a talk at the thematic programme on Higher Structures and Field Theory at the ESI in Vienna. A youtube-recording of the talk can be accessed here.
  • On June 09. 2022, I gave a talk at the conference on Noncommutative Geometry and Higher Structures in Scalea, Italy.
  • On March 15. 2022, I gave a talk at the Göttingen-Würzburg Geometry day.
  • From Februaray 28. 2022 to March 04. 2022, Jérémy Mougel, Thomas Schick and I are organizing a winter school on Foliations, Pseudodifferential operators and groupoids.
  • In February 2022, I gave an introductory lecture on Foliations, Lie groupoids and Lie algebroids in Göttingen.




2018 and before

Puzzles and hunts

Scavenger Hunt

Alfonso Garmendia and I have created a scavenger hunt for the participants of the SFARS seminar, that we organize. It is still available here, the access code to start the hunt is "Request Mission".

Pen-and-Paper adventure

Josef Adamčík, Anna Marklová and I created an adventure for the Mausritter Pen-and-Paper role plaing game. It is called Chrismous Forever and can be downloaded here here. The rules of the basic game are available here.

A few elementary riddles and excercises

I know some of the following from Benjamin Böhme, who in turn credits Wim Martens. If you know a source I should refer to for some of them, please let me know.


Leonid Ryvkin
​Université Claude Bernard Lyon 1
Bâtiment Jean Braconnier
21, avenue Claude Bernard

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