Roman Lubkov

  • Curriculum Vitae: pdf (Last updated: November 21, 2025)
  • List of Publications: pdf (Last updated: November 21, 2025)
  • Research databases:
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Current positions Link to heading

  • since 2025: Assistant professor, Mathematics and Computer Science Department, St. Petersburg University
  • since 2025: Prime instructor, St. Petersburg Center for Artificial Intelligence and Information Technologies
  • since 2023: Postdoctoral researcher, Leonhard Euler International Mathematical Institute, St. Petersburg

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: email

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

Publications and Preprints Link to heading

(Last updated: November 26, 2025)
1R. Lubkov and A. Stepanov, Subgroups of general linear groups, containing the exterior square of the elementary subgroup (preprint)
2H. Abdelwahab, I. Kaygorodov, R. Lubkov, The algebraic and geometric classification of right alternative and semi-alternative algebras, J. Algebr., vol. 687, no. 1, pp. 792–824, 2026
DOI ArXiv
3H. Abdelwahab, I. Kaygorodov, R. Lubkov, The algebraic and geometric classification of $\delta$-Novikov algebras, Boletín la Soc. Matemática Mex., vol. 31, no. 3, p. 145, 2025
DOI
4K. Abdurasulov, R. Lubkov, A. Saydaliyev, The algebraic and geometric classification of Jordan superalgebras, Sib. Electron. Math. Reports, vol. 22, no. 1, pp. 813–852, 2025
PDF DOI ArXiv
5R. Lubkov, The reverse decomposition of unipotens in polyvector representations, J. Math. Sci., vol. 288, no. 3, pp. 350–361, 2025
PDF DOI
6R. Lubkov, Overgroups of elementary groups in polyvector representations (Russian), J. Math. Sci., vol. 531, pp. 101–116, 2024
PDF
7R. Lubkov and I. Nekrasov, Overgroups of exterior powers of an elementary group. Normalizers, Doc. Math., vol. 29, no. 5, pp. 1243–1268, 2024
PDF DOI ArXiv
8R. 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 ArXiv
9R. Lubkov, The reverse decomposition of unipotents for bivectors, Commun. Algebr., vol. 49, no. 10, pp. 4546–4556, 2021
DOI ArXiv
10R. Lubkov and A. Stepanov, Subgroups of Chevalley Groups Over Rings, J. Math. Sci., vol. 252, no. 6, pp. 829–840, 2021
PDF DOI
11R. 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
PDF DOI ArXiv