Publications and Preprints

Publications

• Reduction of \(L_\infty\)-algebras of observables on multisymplectic manifolds
  Casey Blacker, Antonio Michele Miti, Leonid Ryvkin
  SIGMA, Symmetry Integrability Geom. Methods Appl., 2024
  doi:10.3842/SIGMA.2024.061, arXiv:2206.03137
• On Dirac structures admitting a variational approach
  Oscar Cosserat, Alexei Kotov, Camille Laurent-Gengoux, Leonid Ryvkin, Vladimir Salnikov
  Math. Mech. Complex Syst., 2023
  doi:10.2140/memocs.2023.11.1, arXiv:2109.00313
• The holonomy of a singular leaf
  Camille Laurent-Gengoux, Leonid Ryvkin
  Sel. Math., New Ser., 2022
  doi:10.1007/s00029-021-00753-z, arXiv:1912.05286
• On the extension problem for weak moment maps
  Leyli Mammadova, Leonid Ryvkin
  Homology Homotopy Appl., 2022
  doi:10.4310/HHA.2022.v24.n1.a8, arXiv:2001.00264
• The neighborhood of a singular leaf
  Camille Laurent-Gengoux, Leonid Ryvkin
  J. Éc. Polytech., Math., 2021
  doi:10.5802/jep.165, arXiv:2004.07019
• The \(L_\infty \)-algebra of a symplectic manifold
  Bas Janssens, Leonid Ryvkin, Cornelia Vizman
  Pac. J. Math., 2021
  doi:10.2140/pjm.2021.314.81, arXiv:2012.03836
• Multisymplectic actions of compact Lie groups on spheres
  Antonio Michele Miti, Leonid Ryvkin
  J. Symplectic Geom., 2020
  doi:10.4310/JSG.2020.v18.n6.a6, arXiv:1906.08790
• Conserved quantities on multisymplectic manifolds
  Leonid Ryvkin, Tilmann Wurzbacher, Marco Zambon
  J. Aust. Math. Soc., 2020
  doi:10.1017/S1446788718000381, arXiv:1610.05592
• An invitation to multisymplectic geometry
  Leonid Ryvkin, Tilmann Wurzbacher
  J. Geom. Phys., 2019
  doi:10.1016/j.geomphys.2019.03.006, arXiv:1804.02553
• Existence and unicity of co-moments in multisymplectic geometry
  Leonid Ryvkin, Tilmann Wurzbacher
  Differ. Geom. Appl., 2015
  doi:10.1016/j.difgeo.2015.04.001, arXiv:1411.2287

Monographs

• An invitation to singular foliations
  Camille Laurent-Gengoux, Ruben Louis, Leonid Ryvkin
  Accepted for publication in the Poisson geometry CRM Barcelona 2022 Springer booklet series, 2024
  arXiv:2407.14932
• Observables and symmetries of \(n\)-plectic manifolds
  Leonid Ryvkin
  Wiesbaden: Springer Spektrum; Bochum: Univ. Bochum (Master Thesis), 2016
  doi:10.1007/978-3-658-12390-1,

Preprints

• Multisymplectic observable reduction using constraint triples
  Antonio Michele Miti, Leonid Ryvkin , 2025
  arXiv:2506.00234
• Density-valued symplectic forms from a multisymplectic viewpoint
  Laura Leski, Leonid Ryvkin , 2025
  arXiv:2502.02224
• Darboux type theorems in multisymplectic geometry
  Leonid Ryvkin , 2025
  arXiv:2503.03672
• Universal central extension of the Lie algebra of exact divergence-free vector fields
  Bas Janssens, Leonid Ryvkin, Cornelia Vizman , 2024
  arXiv:2409.05182
• Poisson bundles over unordered configurations
  Alessandra Frabetti, Olga Kravchenko, Leonid Ryvkin , 2024
  arXiv:2407.15287
• Differentiating ${L_\infty}$ groupoids – Part I
  Du Li, Leonid Ryvkin, Arne Wessel, Chenchang Zhu , 2023
  arXiv:2309.00901

Miscellaneous

• Iconicity in Large Language Models
  Anna Marklová, Jiří Milička, Leonid Ryvkin, Ľudmila Lacková Bennet, Libuše Kormaníková , 2025
  arXiv:2501.05643
• Comparison of Different Unique Hard Attention Transformer Models by the Formal Languages They Can Recognize
  Leonid Ryvkin , 2025
  arXiv:2506.03370
• Focusing on gap lengths in the noisy violinist chip-firing problem
  Leonid Ryvkin , 2023
  arXiv:2306.11655
• Young mathematicians' column
  Anastasia Matveeva, Nikita Nikolaev, Vladimir Salnikov, Alfonso Garmendia, Leonid Ryvkin
  Eur. Math. Soc. Mag., 2021
  doi:10.4171/MAG-7,
• Normal Forms and Conserved Quantities in Multisymplectic Geometry
  Leonid Ryvkin , 2018