(with P.Du) On the Balmer spectrum of Morel-Voevodsky category, 16 September 2023; arXiv:2309.09077 [math.AG]
On torsion spaces, 28 August 2023; arXiv:2308.14318 [math:AG]
Isotropic and numerical equivalence for Chow groups and Morava K-theories, 27 July 2023; arXiv:2307.15148 [math.AG]
On isotropic and numerical equivalence of cycles, Selecta Math, 29 (2023), article 8; DOI: 10.1007/s00029-022-00812-z; arXiv:2201.02984 [math.AG]
Torsion Motives, IMRN (2023), rnad056; DOI: 10.1093/imrn/rnad056; IMRN ; arXiv:2106.11382 [math.AG]
(with A.Merkurjev) Operations in connective K-theory, Algebra and Number Theory; 17:9 (2023), 1596-1636; ANT ; arXiv:2006.12193 [math.KT]
Isotropic motives, J. Inst. Math. Jussieu, 21 (2022), n.4, 1271-1330; DOI: 10.1017/ S147478020000560; arXiv:1904.09263 [math.AG]
(with S.Gille) Rost nilpotence and free theories, Documenta Mathematica, 23 (2018), 1635-1657; Documenta Mathematica
Affine quadrics and the Picard group of the motivic category, Compositio Math., 155 (2019), 1500-1520; DOI: 10.1112/S0010437X19007401; arXiv:1802.06112 [math.AG]
(with T.Bachmann) Motivic equivalence of affine quadrics, Math. Annalen, 371 (2018), n.1, 741-751; DOI: 10.1007/s00208-018-1641-8; arXiv:1707.08087 [math.AG]
Operations and poly-operations in Algebraic Cobordism, Adv. Math, 366 (2020); DOI: 10.1016/j.aim.2020.107066 ; arXiv:1409.0741 [math.AG]
Algebraic Cobordism as a module over the Lazard ring, Math. Annalen, 363 (2015), n.3, 973-983; DOI: 10.1007/s00208-015-1190-3; arXiv:1409.0156 [math.AG]
(with A.Smirnov) Subtle Characteristic Classes, 2014, Jan. 26, arXiv:1401.6661 [math.AG] , pdf
Symmetric Operations for all primes and Steenrod Operations in Algebraic Cobordism, Compositio Math., 152 (2016), 1052-1070; arXiv:1309.5644 [math.AG] , pdf
Stable and Unstable Operations in Algebraic Cobordism, Ann. Scient. Ec. Norm. Sup., 4-e serie, 52 (2019), 561-630; DOI: 10.24033/asens.2393; arXiv:1209.5793 [math.AG], pdf
Excellent connections in the motives of quadrics, Ann. Scient. Ec. Norm. Sup., 4-e serie, 44 (2011), 183-195. pdf; extended version: LAG Preprint archive, 338, 24 pp., pdf
Rationality of integral cycles, Documenta Math., Extra Volume: Andrei A. Suslin 60-th birthday (2010), 661-670. pdf
Fields of u-invariant 2^r+1. "Algebra, Arithmetic and Geometry - In Honor of Yu.I.Manin", Birkhauser, 2010, 661-685. pdf
(with K.Zainoulline) Motivic Splitting Lemma, Documenta Mathematica, 13 (2008), 81-96. Documenta Mathematica
(with N.Yagita) Algebraic cobordisms of a Pfister quadric, J.of the London Math. Soc. 76 (2007), n.2, 586-604. pdf
Symmetric operations in Algebraic Cobordisms, Adv. Math. 213 (2007), 489-552. pdf
Generic points of quadrics and Chow groups, Manuscr. Math. 122 (2007), No.3, 365-374. pdf
(with D.Orlov and V.Voevodsky) An exact sequence for K^M_*/2 with applications to quadratic forms, Annals of Math., 165 (2007), No. 1, 1-13. pdf
On the Chow groups of Quadratic Grassmannians, Documenta Mathematica, 10 (2005), 111-130. Documenta Mathematica
Symmetric operations (in Russian) Tr. Mat. Inst. Steklova 246 (2004), Algebr. Geom. Metody, Svyazi i Prilozh., 92-105. English transl.: Proc. of the Steklov Institute of Math. 246 (2004), 79-92. pdf
Motives of quadrics with applications to the theory of quadratic forms., in the Proceedings of the Summer School "Geometric Methods in the Algebraic Theory of Quadratic Forms, Lens 2000" (ed. J.-P.Tignol), Lect. Notes in Math., 1835 (2004), 25-101. pdf
(with O.T.Izhboldin) Quadratic forms with absolutely maximal splitting, Proc. of the conference ``Quadratic forms and their applications'' - Dublin, 1999, Contemp. Math. 272 (2000), 103-125. pdf
On dimension of quadratic forms (in Russian), Doklady Akad. Nauk, 373 (2000), No. 4, 445-447.
(with L.Positselsky) Koszul duality and Galois cohomology, Math. Res. Lett. 2 (1995), No. 6, 771-781. arXiv:alg-geom/9507010
(with M. Finkelberg) The coordinate ring of the general curve is Koszul, J. of Algebra 162 (1993), No. 2, 535-539.
On dimension of anisotropic forms in I^n, Preprint of the Max Planck Institute at Bonn, (2000)-11, 41 pages. pdf , MPIM
On torsion elements in the Chow groups of quadrics, Preprint of the Max Planck Institute at Bonn, (2000)-10, 10 pages. pdf , MPIM
Direct summands in the motives of quadrics, Preprint, 1999, 13 pages. pdf
On the kernels in Milnor's K-theory under function field extensions, Preprint of the Max Planck Institute at Bonn, (1998)-32, 9 pages. pdf , MPIM
Integral Motives of Quadrics, Preprint of the Max Planck Institute at Bonn, (1998)-13, 82 pages. pdf MPIM