- (with T.Bachmann) Motivic
equivalence of affine quadrics, 2017, Jul. 25; arXiv:1707.08087 [math.AG]
- Operations and poly-operations in Algebraic Cobordism, 2014, Sep. 2; 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.*, in press, 64 pages;*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__

- (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__