Toric genera, Accepted to print in AMRN; Preprint, 2009; arXiv:0908.3298.

Toric Topology, Dobrushin International Conference, Proceedings, Moscow, Russia, 2009, 27--36.

Ring of Combinatorial Polytopes and Applications, Mathematisches Forschungsinstitut Oberwolfach, Report No. 01/2009, Toric Geometry, 4 - 10 January, 2009, 14--16.

Heat Equation and Families of Two-Dimensional Sigma Functions, Proceedings of the Steklov Institute of Mathematics, v. 266, 2009, 1-28.

Modeling of rf-biased overdamped Josephson junctions, J. Appl. Phys., 104, 093910, 2008; Virtual Journal of Applications of Superconductivity, v. November 15, 2008, Issue 10.

Lectures on Toric Topology, Toric Topology Workshop, KAIST 2008, Trends in Mathematics, Information Center for Mathematical Sciences, V. 11, N. 1, 2008, 1-55.

Solution of the problem of differentiation of Abelian functions over parameters for families of (n,s)-curves, Funct. Anal. Appl., 42:4, 2008, 268-278.

Ring of Simple Polytopes and Differential Equations, Proceedings of the Steklov Institute of Mathematics, v. 263, 2008, 1-25.

Equivariant complex structures on homogeneous spaces and their cobordism classes, Geometry, Topology, and Mathematical Physics, S.P.Novikov"s seminar: 2006-2007 (V.M.Buchstaber, I.M.Krichever, Eds), Providence (RI), Amer. Math. Soc. Transl., v. 224, ser. 2, 2008, 27-57; arXiv:math. AT/0708.2054 v.1, 15 Aug 2007.

An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron, Toric topology., Contemp. Math., v. 460, Providence (RI): Amer. Math. Soc., 2008, 1-27; MIMS, 2008.31: http://www.manchester.ac.uk/mims/eprints.
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Face-polynomials of simple polytopes and two-parameter Todd genus, Russian Math. Surveys, v. 63, Issue 3, 2008, 554--556.

Frobenius n-homomorphisms, transfers and branched coverings, Proceeding of the Cambridge Phil. Society, v. 144(1), 2008, 1-12; ArXiv: math.RA/0608120 v. 1, 4 Aug 2006.

"Spaces of polytopes and cobordism of quasitoric manifolds". Moscow Math. Journal 7 (2007), no.2, 219-242.
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The Leonhard Euler Tercentenary. The problem of support for young mathematicians, Newsletter of the EMS, Issue 65, EMS, September 2007, 3-4.

Abelian Functions and Singularity Theory, International Conference "Analysis and Singularities", dedicated to the 70th anniversary of V.I. Arnold, Book of abstracts, Steklov Math. Inst., Moscow, August 20 - 24, 2007, 117-118.

The Quasi-Linear Burgers-Hopf Equation and the Stasheff Polytopes, Funct. Anal. Appl., 41:3, 2007, 196-207.

Differentiation of Abelian functions over its parameters, Russian Math. Surveys, v. 62, Issue 4, 2007, 787-789.

The Universal Equivariant Genus and Krichever"s Formula, Russian Math. Surveys, v. 62, Issue 1, 2007, 178-180.