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. Equivariant unirationality of tori in small dimensions, (with Yu. Tschinkel), 28 pp., submitted, (2025) [arxiv]

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

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

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

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

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

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

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

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

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

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

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

  13. Equivariant geometry of singular cubic threefolds, II, (with I. Cheltsov, L. Marquand and Yu. Tschinkel), Journal of the London Mathematical Society 112(1):e70224, 46 pp., (2025) [journal], [arxiv]

  14. 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]

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

  16. 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]

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

  18. 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)