00. Chow rings of quasi-split geometrically almost simple algebraic groups
with Nikita Geldhauser
arXiv
00. On the motivic Adams conjecture
with Elden Elmanto, Oliver Röndigs and Maria Yakerson
to appear in Journal of Topology
arXiv
20. Combing a hedgehog over a field
with Marc Levine
to appear in Algebra and Number Theory
arXiv
19. On the $\mathbb{A}^1$-Euler characteristic of the variety of maximal tori in a reductive group
IMRN, 2022:19 (2022), 15390–15409
journal
arXiv
18. Thom isomorphisms in triangulated motivic categories
Algebraic and Geometric Topology, 21:4 (2021), 2085-2106
journal
arXiv
17. Cancellation theorem for framed motives of algebraic varieties
with Grigory Garkusha and Ivan Panin
Advances in Mathematics, 383 (2021), 107681
journal
arXiv
16. SL-oriented cohomology theories
in Motivic Homotopy Theory and Refined Enumerative Geometry
Contemporary Mathematics, 745 (2020), 1-20
journal
arXiv
15. On very effective hermitian $K$-theory
with Oliver Röndigs and Paul Arne Østvær
Mathematische Zeitschrift, 294 (2020), 1021-1034
journal
arXiv
14. Framed and MW-transfers for homotopy modules
with Alexander Neshitov
Selecta Mathematica, 25:26 (2019)
journal
arXiv
13. Rigidity for linear framed presheaves and generalized motivic cohomology theories
with Andrei Druzhinin
Advances in Mathematics, 333 (2018), 423-462
journal
arXiv
12. On the zeroth stable $\mathbb{A}^1$-homotopy group of a smooth curve
Journal of Pure and Applied Algebra, 222:10 (2018), 3195-3218
journal
arXiv
11. Witt sheaves and the $\eta$-inverted sphere spectrum
with Marc Levine and Ivan Panin
Journal of Topology, 10:2 (2017), 370-385
journal
arXiv
10. Stable operations and cooperations in derived Witt theory with rational coefficients
Annals of K-theory, 2:4 (2017), 517-560
journal
arXiv
09. On the zeroth stable $\mathbb{A}^1$-homotopy group of a smooth projective variety
Journal of Mathematical Sciences, 222:4 (2017), 367-369 (translated from Russian)
journal
08. On the push-forwards for motivic cohomology theories with invertible stable Hopf element
Manuscripta Mathematica, 150:1-2 (2016), 21-44
journal
arXiv
07. On the relation of special linear algebraic cobordism to Witt groups
Homology, Homotopy and Applications, 18:1 (2016), 205-230
journal
arXiv
06. The special linear version of the projective bundle theorem
Compositio Mathematica, 151:3 (2015), 461-501
journal
arXiv
05. Exceptional collections of line bundles on projective homogeneous varieties
with Asher Auel, Skip Garibaldi and Kirill Zainoulline
Advances in Mathematics, 236 (2013), 111-130
journal
arXiv
04. Relationship between algebraic MSL-cobordisms and derived Witt groups
Doklady Mathematics, 87:1 (2013), 76-78 (translated from Russian)
journal
03. On the algebraic $K$-theory of some homogeneous varieties
Documenta Mathematica, 17 (2012), 167-193
journal
02. Overgroups of $E(m;R)\otimes E(n;R)$. I. Levels and normalisers
with Nikolai Vavilov and Sergey Sinchuk
St. Petersburg Mathematical Journal, 23:5 (2012), 819-849 (translated from Russian)
journal
01. On the description of overgroups of $E(m;R)\otimes E(n;R)$
with Nikolai Vavilov and Sergey Sinchuk
Journal of Mathematical Sciences, 161:4 (2009), 461-473 (translated from Russian)
journal