Roman Lubkov

my CV [Last update: April 16, 2025]

Positions Link to heading

  • 2025-present: Researcher, Chebyshev Laboratory at St. Petersburg University
  • 2023–2024: Postdoctoral researcher, Leonhard Euler International Mathematical Institute, St. Petersburg
  • 2022–2023: Junior researcher, Chebyshev Laboratory at St. Petersburg University
  • 2019–2022: Research assistant, St. Petersburg Department of Steklov Mathematical Institute of The Russian Academy of Sciences, St. Petersburg
  • 2017–2020: Research assistant, Department of Mathematics and Mechanics, St. Petersburg University

Education Link to heading

  • 2022: Ph.D. in Mathematics and Physics, St. Petersburg University, my thesis (in Russian and English)
  • 2017: M.Sc. in Mathematics, St. Petersburg University
  • 2015: B.Sc. in Mathematics, St. Petersburg University

Research interests Link to heading

  • Algebraic groups: structure theory over rings (Chevalley groups, Steinberg groups, and their relatives; representation theory of such groups)
  • Invariant theory: geometry and structure problems defining algebraic groups via invariants; algebro-geometric [Grothendieck] aspects
  • Non-associative algebras: Jordan algebras and superalgebras, Poisson algebras and superalgebras and their generalizations, deformations and degenerations

Grants, Prizes, and Awards Link to heading

  • 2023–2025: Grant of Russian Science Foundation No 22-71-10001
  • 2023: The “School” competition of Theoretical Physics and Mathematics Advancement Foundation “BASIS”, junior postdoctoral award
  • 2022: Scholarship of the program “Home towns”, Gazprom Neft PJCS, junior postdoctoral award
  • 2019–2022: Russian Foundation of Basic Research, individual grant for doctoral students No 19-31-90072
  • 2018: Rokhlin Stipends for Young Mathematicians, graduate student award
  • 2013: Scholarship of Chebyshev Laboratory, undergraduate student award

Contact Link to heading

E-mail:

Faculty of Mathematics and Computer Science St. Petersburg University 29th line Vasilievski island 199178, St. Petersburg, Russia

Publications and Preprints Link to heading

  1. H. Abdelwahab, I. Kaygorodov, R. Lubkov, “The algebraic and geometric classification of right alternative and semi-alternative algebras”, Arxiv.
  2. K. Abdurasulov, R. Lubkov, A. Saydaliyev, “The algebraic and geometric classification of Jordan superalgebras”, Arxiv.
  3. R. Lubkov and A. Stepanov, “Subgroups of general linear groups, containing the exterior square of the elementary subgroup’’ (work in progress).
  4. R. Lubkov and I. Nekrasov, “Overgroups of exterior powers of an elementary group. Normalizers”, Doc. Math., 2024, doi: 10.4171/DM/956, Arxiv.
  5. R. Lubkov, “Overgroups of elementary groups in polyvector representations” J. Math. Sci., vol. 531, pp. 101–116, 2024, Full text (in Russian).
  6. R. Lubkov, “The reverse decomposition of unipotens in polyvector representations” J. Math. Sci., vol. 513, pp. 120–138, 2022, 10.1007/s10958-025-07703-6.
  7. R. Lubkov and I. Nekrasov, “Overgroups of exterior powers of an elementary group. Levels” Linear Multilinear Algebr., vol. 72, no. 4, pp. 563–584, 2022, doi: 10.1080/03081087.2022.2160422, Arxiv.
  8. R. Lubkov and A. Stepanov, “Subgroups of Chevalley Groups Over Rings” J. Math. Sci., vol. 252, no. 6, pp. 829–840, 2021. doi: 10.1007/s10958-021-05203-x.
  9. R. Lubkov, “The reverse decomposition of unipotents for bivectors” Commun. Algebr., vol. 49, no. 10, pp. 4546–4556, 2021, doi: 10.1080/00927872.2021.1924183, Arxiv.
  10. R. Lubkov and I. Nekrasov, “Explicit Equations for Exterior Square of the General Linear Group” J. Math. Sci., vol. 243, no. 4, pp. 583–594, 2019, doi: 10.1007/s10958-019-04559-5, Arxiv.