Coherent analogues of matrix factorizations and relative singularity categories. Electronic preprint arXiv:1102.0261 [math.CT], 68 pp.
Go to publication

Artin-Tate motivic sheaves with finite coefficients over an algebraic variety. Electronic preprint arXiv:1012.3735 [math.KT], 33 pp.
Go to publication

Hochschild (co)homology of the second kind I. Electronic preprint arXiv:1010.0982 [math.CT], 67 pp. Accepted by Transactions AMS.
Go to publication

The algebra of closed forms in a disk is Koszul. Electronic preprint arXiv:1007.5010 [math.KT], 9 pp. Accepted by Functional Analysis and its Applications.
Go to publication

Mixed Artin-Tate motives with finite coefficients. Moscow Math. Journal 11 (2011), #2, p.317-402.
Go to publication

Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. Memoirs of the Amer. Math. Soc. 212 (2011), #996, v+133 pp.
Go to publication

Galois cohomology of a number field is Koszul. Electronic preprint arXiv:1008.0095 [math.KT], 23 pp.
Go to publication

Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures. Appendix C in collaboration with D.Rumynin; Appendix D in collaboration with S.Arkhipov. Monografie Matematyczne, vol.70, Birkhauser/Springer Basel, 2010. xxiv+349 pp.
Go to publication

On semi-infinite cohomology of finite-dimensional graded algebras. Compositio Math. 146 (2010), #2, p.480-496.
Go to publication

Galois cohomology of certain field extensions and the divisible case of Milnor-Kato conjecture. K-Theory 36 (2005), #1-2, p.33-50.
Go to publication

Koszul property and Bogomolov"s conjecture. Intern. Math. Research Notices 2005, #31, p.1901-1936.
Go to publication

Quadratic Algebras. University Lecture Series 37. American Mathematical Society, Providence, RI, 2005. xii+159 pp.
Go to publication

Gluing of abelian categories and differential operators on the basic affine space. Journ. Inst. Math. Jussieu 1 (2002), #4, p. 543-557.
Go to publication

Mixed Tate motives with finite coefficients and conjectures about the Galois groups of fields. Abstracts of conference talks, "Algebraische K-theorie", Tagungsbericht 39/1999, September-October 1999, Oberwolfach, Germany, p.8-9.
Go to publication

Relation between the Hilbert series of quadratic dual algebras does not imply Koszulity. Funct. Anal. Appl. 29 (1995) #3, p.213-217.
Go to publication

All strictly exceptional collections in D^b_{coh}(P^m) consist of vector bundles. Electronic preprint arXiv:alg-geom/9507014, 6 pp.
Go to publication

Koszul duality and Galois cohomology. Math. Research Letters 2 (1995), #6, p.771-781.
Go to publication

Nonhomogeneous quadratic duality and curvature. Funct. Anal. Appl. 27 (1993) #3, p.197-204.
Go to publication

Local Pluecker formulas for a semisimple Lie group. Funct. Anal. Appl. 25 (1991) #4, p. 291-292.
Go to publication