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My research focuses on Poisson Geometry, specifically Poisson-Lie groups, Poisson-Nijenhuis structures, and bi-Hamiltonian systems. These areas allow me to explore the relationships between algebraic and geometric structures. Additionally, I am engaged in  geometric mechanics, particularly discrete mechanics, investigating dynamical systems from both continuous and discrete perspectives. 
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MR Author ID: 1207866  â€‹

Preprints:
 

  • Generalized double bracket vector fields, (with Cornelia Vizman and Petre Birtea), arXive.

Journal Publications   

  •  NL bialgebras, Accepted for publication in Advances in Theoretical and Mathematical Physics (2024),arXive.

  • Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups. (with I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero, E. Padrón), J. Phys. A: Math. Theor. 56 015203, (2023) DOI, arXiv.

  • VB-structures and generalizations, (with  K. Grabowska and J. Grabowski)                                                                          Annals of Global Analysis and Geometry, 62: 235–284 (2022), arXiv, link.

  • Nonassociative analogs of Lie groupoids,  ( with J. Grabowski),                                                                                             Differential Geometry and its Applications, Volume 82 (2022), 101887, ISSN 0926-2245, arXiv,  DOI.

  • Transitive Lie Algebras of Nilpotent Vector Fields and their Tanaka Prolongations, (with K. Grabowska, J. Grabowski) Journal of Lie Theory 31 (2021), No. 4, 1003-1014 Heldermann.de, arXive.

  • Discrete mechanics on unitary octonions,  (with J. Grabowski) ,                                                                                       Int J. Geom. Methods Mod. Phys. Vol. 18, No. 06, 2150093 (2021), arXive, DOI.

  • Some remarks on invariant Poisson quasi-Nijenhuis structures on Lie group, (with Gh. Haghighatdoost, A. Rezaei-Aghdam) Int. J. Geom. Methods Mod. Phys. Vol. 16 (2019) 1950097, DOI, arXive.

  • Invariant Poisson Nijenhuis structures on Lie groups and classification, (with Gh. Haghighatdoost, A. Rezaei-Aghdam) Int. J. Geom. Methods Mod. Phys. Vol. 15 (2018) 1850059, DOI, arXive.

  • Poisson-Lie groups, bi-Hamiltonian systems and integrable deformation, (with A. Ballesteros, J. C. Marrero)                 J. Phys. A: Math. Theor. Vol. 50 (2017) 145204, arXive, DOI.                                                                                                                                                                                      

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