research
Research


Co-authors (in alphabetic order): Ivan Cheltsov, Brendan Hassett, Konstantin Loginov, Lisa Marquand, Antoine Pinardin, Alena Pirutka, Yuri Tschinkel, Kaiqi Yang


Papers (my arxiv page)

  1. Finite abelian groups acting on rationally connected threefolds II: groups of K3 type, (with K. Loginov and A. Pinardin), 35 pp., submitted, (2025) [arxiv]

  2. A5-equivariant geometry of quadric threefolds, (with A. Pinardin), 54 pp., submitted, (2025) [arxiv]

  3. Conjugacy classes of linear actions in the plane Cremona group, (with I. Cheltsov and Yu. Tschinkel), 32 pp., submitted, (2025) [arxiv]

  4. Equivariant geometry of cubic threefolds with non-isolated singularities, (with I. Cheltsov, L. Marquand and Yu. Tschinkel), 18 pp., submitted, (2025) [arxiv]

  5. Cohomological obstructions to equivariant unirationality, (with Yu. Tschinkel), 16 pp., submitted, (2025) [arxiv]

  6. Equivariant unirationality of Fano threefolds, (with I. Cheltsov and Yu. Tschinkel), 30 pp., submitted, (2025) [arxiv]

  7. Rationality of singular cubic threefolds over R, (with I. Cheltsov and Yu. Tschinkel), 27 pp., submitted, (2024) [arxiv]

  8. Computing the equivariant Brauer group, (with A. Pirutka), International Journal of Mathematics 36(8), 37 pp., (2025) [journal], [arxiv]

  9. Birational invariants of volume preserving maps, (with K. Loginov), 34 pp., submitted, (2024) [arxiv]

  10. Stable equivariant birationalities of cubic and degree 14 Fano threefolds, (with Yu. Tschinkel), to appear in Algebraic Geometry and Physics, 22 pp. [arxiv]

  11. Modular symbols and equivariant birational invariants, Journal of Number Theory 271, 308–327, (2025) [journal], [arxiv]

  12. Equivariant geometry of singular cubic threefolds, II, (with I. Cheltsov, L. Marquand and Yu. Tschinkel), to appear in Journal of the London Mathematical Society, 51 pp. [arxiv]

  13. Rationality of forms of M0,n, (with B. Hassett and Yu. Tschinkel), Journal of the London Mathematical Society 111(2):e70097, 35pp., (2025) [journal], [arxiv]

  14. Equivariant geometry of singular cubic threefolds, (with I. Cheltsov and Yu. Tschinkel), Forum of Mathematics. Sigma 13, e9, 52 pp., (2025) [journal], [arxiv]

  15. Equivariant geometry of the Segre cubic and the Burkhardt quartic, (with I. Cheltsov and Yu. Tschinkel), Selecta Mathematica 31(1):7, 36 pp., (2025) [journal], [arxiv]

  16. Equivariant birational geometry of linear actions, (with Yu. Tschinkel and Kaiqi Yang), EMS Surveys in Mathematical Sciences 11(2), 235–276, (2024) [journal], [arxiv]

  17. Combinatorial Burnside group, (with Yu. Tschinkel and Kaiqi Yang), Research in Number Theory 8(2):33, 17 pp., (2022) [journal], [arxiv]



Miscellanea

  1. Equivariant geometry of singular cubic threefolds, ZAG report, 5 pp., (2024)