Dmitrii Pirozhkov


I am a researcher in the Steklov Institute. Here is my CV.

I study derived categories of coherent sheaves on algebraic varieties and their applications.

Previously, in 2023—2024 I was a post-doc in Steklov International Mathematical Center. In 2021—2023, I was a post-doc in the ERC HyperK grant, working in Université Paris Cité. Before that, I was a graduate student in the Department of Mathematics at Columbia University. My advisor was Aise Johan de Jong.

Contact information

Teaching:

Papers and preprints

  1. Semiorthogonal Decompositions on Total Spaces of Tautological Bundles, International Mathematics Research Notices, Volume 2022, Issue 3, February 2022, Pages 2250–2273, 10.1093/imrn/rnaa134; arXiv.
  2. Rouquier dimension of some blow-ups, European Journal of Mathematics, Volume 9, article number 45, 2023, 10.1007/s40879-023-00639-8; arXiv.
  3. Admissible subcategories of del Pezzo surfaces, Adv. Math., Volume 424, 2023, 109046, 10.1016/j.aim.2023.109046; arXiv (this is an updated version of my thesis (2020)).
  4. Stably semiorthogonally indecomposable varieties, Épijournal de Géométrie Algébrique, Volume 7, 2023, 10.46298/epiga.2023.volume7.7700; arXiv.
  5. A categorical Torelli theorem for hypersurfaces, Bull. London Math. Soc., Volume 56, pp. 3075-3089, 2024, 10.1112/blms.13117; arXiv.
  6. Towards homological projective duality for Gr(2,2n), preprint, 2024, arXiv.
  7. Admissible subcategories supported on curves, preprint, 2025, arXiv.
  8. Generators vs. classical generators in derived categories of curves, preprint, 2025, arXiv.