Publications

  1. Motivic infinite loop spaces. To appear in Cambridge Journal of Mathematics
    joint with Elden Elmanto, Marc Hoyois, Adeel A. Khan and Maria Yakerson
  2. On nilpotent extensions of $\infty$-categories and the cyclotomic trace. To appear in International Mathematics Research Notices
    joint with Elden Elmanto
  3. On Chow-weight homology of geometric motives. To appear in Transactions of the AMS
    joint with Mikhail Bondarko
  4. On the infinite loop spaces of algebraic cobordism and the motivic sphere. Épijournal Géom. Algébrique, 5 (2021)
    joint with Tom Bachmann, Elden Elmanto, Marc Hoyois, Adeel A. Khan and Maria Yakerson
  5. Regularity of spectral stacks and discreteness of weight-hearts. Quarterly Journal of Mathematics (2021)
  6. Modules over algebraic cobordism. Forum of Mathematics, $\Pi$, 8 (2021)
    joint with Elden Elmanto, Marc Hoyois, Adeel A. Khan and Maria Yakerson
  7. Framed transfers and motivic fundamental classes. Journal of Topology, 13 (2020)
    joint with Elden Elmanto, Marc Hoyois, Adeel A. Khan and Maria Yakerson
  8. Theorem of the heart in negative K-theory for weight structures. Documenta Mathematica, 24 (2019)
  9. On purely generated $\alpha$-smashing weight structures and weight-exact localizations. Journal of Algebra, 535 (2019)
    joint with Mikhail Bondarko
  10. Higher colimits, derived functors and homology. Sbornik Mathematics, 210 (2019)
    joint with Sergei O. Ivanov, Roman Mikhailov
  11. On the weight lifting property for localizations of triangulated categories. Lobachevskii Journal of Mathematics, 39 (2018)
    joint with Mikhail Bondarko
  12. On constructing weight structures and extending them to idempotent extensions. Homology, Homotopy and Applications, 20 (2018)
    joint with Mikhail Bondarko
  13. Non-commutative localizations of additive categories and weight structures; applications to birational motives. Journal of the Institute of Mathematics of Jussieu, 17 (2016)
    joint with Mikhail Bondarko
  14. A Nullstellensatz for triangulated categories. Algebra and Analysis, 27 (2015)
    joint with Mikhail Bondarko

Preprints

  1. Categorical Milnor squares and K-theory of algebraic stacks. Submitted to Selecta
    joint with Tom Bachmann, Adeel A. Khan and Charanya Ravi

Work in progress

  1. Gabber rigidity for equivariant K-theory under the action of linearly reductive algebraic groups.
    joint with Charanya Ravi
  2. Zariski-local $\mathbb{A}^1$-homotopy theory of presheaves with framed transfers.
    joint with Andrei Druzhinin
  3. A hermitian version of the Dundas-Goodwillie-McCarthy theorem
    joint with Emmanuele Dotto and Elden Elmanto
  4. Excision and cdh-descent for hermitian K-theory