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Mathematics
Poland
2026

D-Index & Metrics

Mathematics

D-Index
39
Citations
4871
World Ranking
2244
National Ranking
11

Research.com Recognitions

  • 2026 - Research.com Mathematics in Poland Leader Award

Overview

Janusz Grabowski is affiliated with the Polish Academy of Sciences in Poland and has contributed extensively to the field of mathematics, with a particular focus on geometry, topology, and mathematical physics. Their research spans several interconnected subfields, including geometry and topology, algebra and number theory, statistical and nonlinear physics, and oncology.

The primary areas of study for Janusz Grabowski center around topics such as homotopy and cohomology in algebraic topology, geometric and algebraic topology, algebraic structures and combinatorial models, advanced topics in algebra, nonlinear waves and solitons, clusterin in disease pathology, and the geometry of complex manifolds.

Janusz Grabowski has published numerous papers in a variety of venues, with a notable presence in preprint archives and mathematical journals. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Physics A Mathematical and Theoretical
  • Annali di Matematica Pura ed Applicata (1923 -)
  • Differential Geometry and its Applications
  • Reviews in Mathematical Physics

Their most recent papers include:

  • A geometric approach to contact Hamiltonians and contact Hamilton-Jacobi theory, 2022, Journal of Physics A Mathematical and Theoretical
  • Reductions: precontact versus presymplectic, 2023, Annali di Matematica Pura ed Applicata (1923 -)
  • VB-structures and generalizations, 2022, Annals of Global Analysis and Geometry
  • Information Geometry on Groupoids: The Case of Singular Metrics, 2020, Open Systems & Information Dynamics
  • Contact geometric mechanics: the Tulczyjew triples, 2022, arXiv (Cornell University)

The scientist collaborates frequently with various co-authors. The most recurrent collaborators are:

  • Katarzyna Grabowska
  • Marek Kuś
  • G. Marmo
  • Zohreh Ravanpak
  • Andrew James Bruce

The scope of their contributions reflects a multidisciplinary interest, merging abstract mathematical concepts with applications in physics and biology, particularly regarding disease pathology. Their work has been disseminated across multiple platforms catering to both pure and applied mathematical sciences.

Best Publications

  • Lie algebroids and Poisson-Nijenhuis structures

    Janusz Grabowski;Janusz Grabowski;Paweł Urbański

  • Higher vector bundles and multi-graded symplectic manifolds

    Janusz Grabowski;Mikołaj Rotkiewicz

  • Geometry of quantum systems: Density states and entanglement

    Janusz Grabowski;Marek Kuś;Giuseppe Marmo

  • GEOMETRICAL MECHANICS ON ALGEBROIDS

    Katarzyna Grabowska;Paweł Urbański;Janusz Grabowski

  • Tangent lifts of Poisson and related structures

    J Grabowski;P Urbanski

  • Quantum Bi-Hamiltonian Systems

    José F. Cariñena;Janusz Grabowski;Janusz Grabowski;Giuseppe Marmo

  • Variational calculus with constraints on general algebroids

    Katarzyna Grabowska;Janusz Grabowski

  • Superposition rules, lie theorem, and partial differential equations

    José F. Cariñena;Janusz Grabowski;Giuseppe Marmo

  • POISSON STRUCTURES: TOWARDS A CLASSIFICATION

    J. Grabowski;G. Marmo;A.M. Perelomov

  • Algebroids — general differential calculi on vector bundles☆

    J. Grabowski;P. Urbański

  • Jacobi structures revisited

    Janusz Grabowski;Janusz Grabowski;Giuseppe Marmo

  • The graded Jacobi algebras and (co)homology

    Janusz Grabowski;Giuseppe Marmo

  • Nonholonomic Constraints: a New Viewpoint

    J. Grabowski;M. de León;J. C. Marrero;D. Martín de Diego

  • Graded contact manifolds and contact Courant algebroids

    Janusz Grabowski

  • Graded bundles and homogeneity structures

    Janusz Grabowski;Mikołaj Rotkiewicz

  • Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids

    Janusz Grabowski;Janusz Grabowski;Pawel Urbanski

  • Reduction of Time-Dependent Systems Admitting a Superposition Principle

    José F. Cariñena;Janusz Grabowski;Arturo Ramos

  • On Filippov algebroids and multiplicative Nambu–Poisson structures

    Janusz Grabowski;Giuseppe Marmo

  • Isomorphisms and ideals of the Lie algebras of vector fields

    J. Grabowski

  • Symmetries, Group Actions, and Entanglement

    Janusz Grabowski;Marek Kuś;Giuseppe Marmo

  • Abstract Jacobi and Poisson structures. Quantization and star-products

    J. Grabowski

  • Dirac algebroids in Lagrangian and Hamiltonian mechanics

    Katarzyna Grabowska;Janusz Grabowski

Frequent Co-Authors

Giuseppe Marmo
Giuseppe Marmo University of Naples Federico II
José F. Cariñena
José F. Cariñena University of Zaragoza
Peter W. Michor
Peter W. Michor University of Vienna
Juan Carlos Marrero
Juan Carlos Marrero University of La Laguna
Maciej Lewenstein
Maciej Lewenstein Institute of Photonic Sciences

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