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.