Mathematician · Postdoc at the IMJ-PRG

I am a mathematician working in the field of multisymplectic geometry. My research interests include differential and symplectic geometry, homological algebra and algebraic topology.

I recently completed my doctorate and started working at the IMJ-PRG in Paris this October (2018).

- L. Ryvkin. Normal forms and conserved quantities in multisymplectic geometry. Dissertation at the Ruhr-University, Bochum, 2018.
- L. Ryvkin, T. Wurzbacher, and M. Zambon. Conserved quantities on multisymplectic manifolds, 2016, arXiv:1610.05592. Accepted for publication in the Journal of the Australian Mathematical Society, 2018.
- L. Ryvkin and T. Wurzbacher. Existence and unicity of co-moments in multisymplectic geometry. Differential Geom. Appl., 41:1–11, 2015. (also on the arXiv)
- L. Ryvkin. Observables and Symmetries of n-Plectic Manifolds . BestMasters. Springer Spektrum Verlag, Wiesbaden, 2016.
- L. Ryvkin and T. Wurzbacher. An invitation to multisymplectic geometry, 2018, arXiv:1804.02553.
- L. Ryvkin. Linear orbits of alternating forms on real vector spaces, 2016, arXiv:1609.02184.
- L. Ryvkin. A multisymplectic manifold not covered by Darboux charts, 2016, arXiv:1608.07424.

- In November 2018, I gave a talk about comoments in multisymplectic geometry in the Séminaire de géométrie et physique mathématique here in Paris, in French.
- In September 2018, I gave a talk at the Atelier sur la géométrie multisymplectique et applications in Metz and at the conference on Homotopy algebras, deformation theory and quantization in Będlewo.
- On 14.08.2018 I participated at the gong show at the Conference on Higher algebra and mathematical physics with a 5-minute talk on Comoments in multisymplectic geometry.
- I delivered seminar talks on Darboux theorems in multisymplectic geometry in Metz in November 2016, in Paris in March 2017 and in Leuven in November 2017.
- In August 2016 at the conference on Graded geometry and applications to physics in Sheffield I gave a poster presentation on comoments in multisymplectic geometry.
- I gave a seminar talk on comoments in multisymplectic geometry in Leuven in April 2016.

- Mathematics I and II for engineers
- PDEs for engineers
- Numerical mathematics for engineers

Example python script for different versions of numerical integration. - "2nd Start" (Prep. Course for Calculus)
- Calculus I and II
- Linear algebra I and II
- Differential geometry I and II

An expository comic for all interested in curvature by Jean-Pierre Petit in English or in German.

Leonid.Ryvkin@imj-prg.fr

Leonid.Ryvkin@sorbonne-universite.fr

Equipe : Géométrie et Dynamique

Institut de Mathématiques de Jussieu-Paris Rive Gauche · IMJ-PRG

Université Paris Diderot

F-75005, Paris, France