Cyclicity statistics for elliptic curves over finite fields, Finite Fields Appl. 5, no. 1, 13--25, 1999.

"Torus actions and combinatorics of polytopes". Proceedings of the Steklov Institute of Mathematics, vol. 225, 1999, pp.87-120; arXiv:math.AT/9909166.
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"Combinatorial formulae for the x_y-genus of a polyoriented quasitoric manifold". Russian Math. Surveys 54 (1999), no.5, 1037-1039.
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``Topological invariants of manifolds with Z/p- or T^n-actions" (in Russian). Candidate of science thesis (Ph.D. equivalent in the former Soviet Union). Summary (17 pages). Defended in Moscow State University 11 June 1999.
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``Topological invariants of manifolds with Z/p- or T^n-actions" (in Russian). Candidate of science thesis (Ph.D. equivalent in the former Soviet Union). Full text (88 pages). Defended in Moscow State University 11 June 1999.
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Complexity and rank of actions in invariant theory, J. Math. Sci. (New York) 95 (1999), 1925-1985.

On spherical nilpotent orbits and beyond, Annales Institut Fourier 49 (1999), 1453-1476.

An infinitesimal characterization of the complexity of homogeneous spaces, Transformation Groups 4 (1999), 97-101.

Parabolic subgroups with Abelian unipotent radical as a testing site for Invariant Theory, Can. J. Math. 51(3) (1999), 616-635.

Actions of "nilpotent tori" on $G$-varieties, Indagationes Math. 10(4) (1999), 565-579.

On actions of a maximal torus on orbits of highest weight vectors, J. of Algebra 212 (1999), 683-702.

On the conormal bundle of a $G$-stable subvariety, Manuscripta Math. 99 (1999), 185-202.

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.
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Generalized Hamming Weight as a Weight Function, INRIA Research Report, no. 3762, September 1999.

Higher Weights of Anticodes and the Generalized Griesmer Bound, Finite Fields Appl., 1999, vol. 5, no. 4, pp. 409–423.

Enveloppes holomorphiquement convexes invariantes, C. R. Acad. Sci. Paris, t. 326 (1998), p. 1279 - 1282

"Classification up to cobordism of manifolds that carry a simple action of the group Z/p". Math. Notes 63 (1998), no. 1-2, 225-232; arXiv:math.AT/9908166.
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"Calculation of Hirzebruch genera for manifolds acted on by the group Z/p via invariants of the action". Izvestiya: Mathematics 62 (1998), no.3, 515-548; arXiv:math.AT/9909081
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"Algebraic topology of manifolds defined by simple polytopes". Russian Math. Surveys 53 (1998), no.3, 623-625.
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Shifted Schur functions II. The binomial formula for characters of classical groups and its applications, in: Kirillov"s Seminar on Representation Theory. American Mathematica Society Translations, 1998, 245--271.

The boundary of Young graph with Jack edge multiplicities, International Mathematics Research Notices, 1998, no. 4, 173--199.

Asymptotics of Jack polynomials as the number of variables goes to infinity, International Mathematics Research Notices 1998, no. 13, 641--682.

Point processes and the infinite symmetric group, Mathematical Research Letters 5 (1998), 799--816.

Weight/Multiplicity Duality, in: Proc. ACCT-6, Pskov, Russia, 1998, pp. 195–198.

Three-Block Exceptional Collections over Del Pezzo Surfaces, Izv. Math., 1998, vol. 62, no. 3, pp. 429–463.

Group actions on the Dolbeault cohomology of homogeneous manifolds, Math. Zeitschrift 226, no. 4 (1997), 607 - 621

"Elliptic genus for manifolds with an action of the group Z/p". Russian Math. Surveys 52 (1997), no.2, 418-419.
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On deformation Method in Invariant Theory, Annales Institut Fourier 47 (1997), 985-1012.

Cones of highest weight vectors, weight polytopes, and Lusztig’s $q$-analog, Transformation Groups 2 (1997), 91-115.

Shifted Schur functions, Algebra i Analiz 9 (1997), no. 2, 73--146 (Russian); English version: St. Petersburg Mathematical Journal 9 (1998), 239--300.

Generalized symmetrization in enveloping algebras, Transformation Groups 2 (1997), 197--213.

Shifted Jack polynomials, binomial formula, and applications, Mathematical Research Letters 4 (1997), 69--78.

Spectrum of Codes Associated with the Grassmannian G(3,6), Probl. Inf. Transm., 1997, vol. 33, no. 2, pp. 114–123.

"On the structure of a Hopf 2-algebra in the cohomology of four-dimensional manifolds". Russian Math. Surveys 51 (1996), no. 1, 155-157.
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Yangians and classical Lie algebras. Russian Mathematical Surveys 51, no. 2 (1996), 205-282.

Ergodic unitarily invariant measures on the space of infinite Hermitian matrices, in: Contemporary Mathematical Physics. F.A..Berezin"s memorial volume. American Mathematical Society Translations, Series 2, Vol. 175 (Advances in the Mathematical Sciences --- 31), 1996, pp. 137--175.

Bethe subalgebras in twisted Yangians, Communications in Mathematical Physics 178 (1996), 483-506.

Codes Associated to Grassmannians, in: Arithmetic, Geometry and Coding Theory, Berlin: de Gruyter, 1996, pp. 145–154.

Sur les repr"esentations de groupes de Lie dans les espaces de cohomologie de Dolbeault, C. R. Acad. Sci. Paris t. 321 (1995), p.1583 - 1586

Lie group actions in complex analysis, Aspects of Mathematics, Vieweg-Verlag, Braunschweig/Wiesbaden, 1995

Cauchy--Szeg"o kernels for Hardy spaces on simple Lie groups, Journal of Lie Theory, 5 (1995), 241--273.

Reductive group actions on affine varieties and their doubling, Annales Institut Fourier 45 (1995), 929–950.

Good properties of algebras of invariants and defect of linear representations, Journal of Lie Theory 5 (1995), 81-99.

On homogeneous spaces of rank one, Indagationes Math. 6 (1995), 315-323.

A restriction theorem and the Poincare series for $U$-invariants, Math. Annalen 301 (1995), 655–675.