"On isotopic weavings", Arch. Math. 81:5 (2003) 596–600
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"Nerves of Coxeter groups", Russ. Math. Surv., 2003, 58 (3), 615–616
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Asymptotic distributions of eigenvalues for certain elements of the group ring of a compact Lie group, Amer. Math. Soc. Transl. (2), 210 (2003), 1 - 10

Some amazing properties of spherical nilpotent orbits, Math. Zeitschrift, 245 (2003), 557–580.

Abelian ideals of a Borel subalgebra and long positive roots, Intern. Math. Res. Notices, no. 35 (2003), 1889-1913.

The index of a Lie algebra, the centraliser of a nilpotent element, and the normaliser of the centraliser, Math. Proc. Cambridge Phil. Soc. 134 (2003), 41-59.

Egorov`s hydrodynamic chains, Chazy equation and group SL(2,C), Funct. Anal. Appl., 37:4, 2003, 251-262.

Polynomial Lie algebras and versal deformations, Meeting: Singularities, Obervwolfach, 21 – 27 September, 2003.

The w-Function of a Solution the g-th Stationary KdV Equation, Russian Math. Surveys, v. 58, Issue 4, 2003, 780-781.

Kolmogorov, cohomology and cobordisms, Intern. conf. "Kolmogorov and contemporary mathematics", Book of abstracts, Moscow, June 16 - 21, 2003.

Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry, J. Phys. A, 36, N. 28, 2003, 7679--7692.

Commuting multidimensional third-order differential operators defining a KdV hierarchy, Russian Math. Surveys, v. 58, Issue 3, 2003, 610-612.

On approximability by embeddings of cycles in the plane, Topology and Its Applications 134:1 (2003), 1--22.
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Embedding products of graphs into Euclidean spaces, Fundamenta Mathematicae 179 (2003), 191--197.
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Frobenius--Schur functions. In: Studies in Memory of Issai Schur. Progress in Mathematics 210, Birkh"auser, 2003, pp. 251--300.

Point processes related to the infinite symmetric group. In: The orbit method in geometry and physics: in honor of A.A. Kirillov. Progress in Mathematics 213, Birkh"auser, 2003, pp. 349--393.

An introduction to harmonic analysis on the infinite symmetric group. In: Asymptotic Combinatorics with Applications to Mathematical Physics (A. Vershik, ed.). Springer Lecture Notes in Math. 1815, 2003, 127--160.

The problem of harmonic analysis on the infinite-dimensional unitary group. Journal of Functional Analysis 205 (2003), no. 2, pp. 464--524.

Probability measures on dual objects to compact symmetric spaces, and hypergeometric identities. Functional Analysis and its Applications 37 (2003), 281--301.

Torus actions,equivariant moment-angle complexes, coordinate subspace arrangements, Math. Sci. (New York), 113, N. 4, 2003, 558-568; arXiv: math. AT/9912199.

Algebraic Geometry Codes. Vol. 1: Basic Notions [in Russian]. Moscow: MCCME, 2003. 504 pp.

A remark on averaging operators on homogeneous spaces, Archiv der Mathematik 78 (2002), 196 - 201

Multiplicities in the branching rules and the complexity of homogeneous spaces, Moscow Math. Journal, 2 (2002), 17–33.

Asymptotic properties of global fields and generalized Brauer-Siegel Theorem, Moscow Mathematical Journal, Vol. 2 (2002), Num. 2, pp. 329–402.

"Torus Actions and Their Applications in Topology and Combinatorics". University Lecture Series, vol.24, American Mathematical Society, Providence, RI, 2002 (152 pages).
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On covariants of reductive algebraic groups, Indagationes Math. 13 (2002), 125-129.

The Gelfand map and symmetric products, Selecta Math. (N.S.), 8, N. 4, 2002, 523-535.

Algebraic varieties of solutions of two-dim Lame type equations, Intern. conf. "Differential and functional differential equations", Book of abstracts, Moscow, August 11 - 17, 2002, 19-20.

Polynomial Lie algebras, Functional Anal. Appl., 36:4, 2002, 267-280.

Multidimensional Schrodinger equation with Abelian potential, J. Math. Phys., v. 43, N. 6, 2002, 2858--2881.

Graded Lie algebras defining hyperelliptic sigma-functions, Doklady Math. Sci., 66, 4:2, 2003, 87-90.

Lie algebras associated with sigma-functions and versal deformations, Russian Math. Surveys, v. 57, Issue 3, 2002, 584-586.

Applications of Frobenius n-homomorphisms, Russian Math. Surveys, v. 57, Issue 1, 2002, 148-149.

Torus actions and their applications in topology and combinatorics, University Lecture Series, v. 24, AMS, Providence (RI), 2002, 152 pp.

Gluing of abelian categories and differential operators on the basic affine space. Journ. Inst. Math. Jussieu 1 (2002), #4, p. 543-557.
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A Gauss-Bonnet theorem for constructible sheaves on reductive groups, Mathematical Research Letters 9 no. 5-6 (2002), 791-800
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Kerov"s central limit theorem for the Plancherel measure on Young diagrams. In: Symmetric functions 2001. Surveys of developments and perspectives. Kluwer, 2002, pp. 93--151.

Chronological future modality in Minkowski spacetime. Advances in Modal Logic, Volume 4, 437-459. King"s College Publications, 2003. (with V. Shehtman)
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Bounds on Packings of Spheres in the Grassmann Manifolds, IEEE Trans. Inform. Theory, 2002, vol. 48, no. 3, pp. 2450–2454.

On geodesically convex functions on symmetric spaces, Math. Nachrichten 227 (2001), 5 - 17

Isogeny class and Frobenius root statistics for abelian varieties over finite fields. Mosc. Math. J. 1, no. 1, 125--139, 2001.

Linear codes with exponentially many light vectors. J. Combin. Theory Ser. A 96, no. 2, 396--399, 2001.