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My research lies in geometric mechanics, with a focus on Poisson geometry and its interaction with structures such as (quasi-)Nijenhuis, (pseudo-)Riemannian, Lie group and graded differential structures. These studies have applications in bi-Hamiltonian systems, integrable deformations, dissipative dynamics, and optimization. I also work on the geometric foundations of classical mechanics and time-discretized, structure-preserving variational integrators, including generalizations to loopoids.
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MR Author ID: 1207866  â€‹

 

Preprints:

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  • Metric degeneracies and gradient flows on symplectic leavess, (with Cornelia Vizman) (2025), arXive

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Journal Publications   

  • NL bialgebras                                                                                                                                                                  Published in Advances in Theoretical and Mathematical Physics (2025), by International Press  PDF , DOI.

  • Generalized double bracket vector fields,  (with C. Vizman and P. Birtea)                                                                       Published in Mathematical Physics, Analysis and Geometry (2025), PDF, DOI

  • Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups                                  (with I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero, E. Padrón)                                                                                            Published in Journal of Physics A: Mathematical and Theoretical (2023) DOI, arXiv.

  • VB-structures and generalizations, (with  K. Grabowska and J. Grabowski)                                                                         Published in Annals of Global Analysis and Geometry (2022), arXiv, link.

  • Nonassociative analogs of Lie groupoids,  ( with J. Grabowski)                                                                                            Published in Differential Geometry and its Applications (2022), arXiv,  DOI.

  • Transitive Lie Algebras of Nilpotent Vector Fields and their Tanaka Prolongations                                                     (with K. Grabowska, J. Grabowski)                                                                                                                                                       Published in Journal of Lie Theory (2021), Heldermann.de, arXive.

  • Discrete mechanics on unitary octonions,  (with J. Grabowski)                                                                                              Published in International Journal of Geometric Methods in Modern Physics (2021), arXive, DOI.

  • Some remarks on invariant Poisson quasi-Nijenhuis structures on Lie group                                                       (with Gh. Haghighatdoost, A. Rezaei-Aghdam)                                                                                                                            Published in International Journal of Geometric Methods in Modern Physics (2019), DOI, arXive.

  • Invariant Poisson Nijenhuis structures on Lie groups and classification                                                                   (with Gh. Haghighatdoost, A. Rezaei-Aghdam)                                                                                                                         Published in International Journal of Geometric Methods in Modern Physics (2018), DOI, arXive.

  • Poisson-Lie groups, bi-Hamiltonian systems and integrable deformation  (with A. Ballesteros, J. C. Marrero)                Published in Journal of Physics A: Mathematical and Theoretical (2017) arXive, DOI.                                                                                                                                                                                      

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