"Topology and combinatorics of torus actions". Doctor of science thesis (profound scientific research work required for attaining higher academic positions or professorships in the former Soviet Union). Summary (19 pages, in Russian). To be defended in Moscow State University on 25 December 2009.
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"Topology and combinatorics of torus actions". Doctor of science thesis (profound scientific research work required for attaining higher academic positions or professorships in the former Soviet Union). Full text (298 pages, in Russian). To be defended in Moscow State University on 25 December 2009.
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"Categorical aspects of toric topology". In: "Toric Topology" (M.Harada et al, eds.), Contemporary Mathematics, vol.460, American Mathematical Society, Providence, RI, 2000, pp.293-322.
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"Cohomology of face rings, and torus actions". London Math. Soc. Lecture Notes, vol.347, Surveys in Contemporary Mathematics, Cambridge, 2008, pp.165-201.
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"Semifree circle actions, Bott towers, and quasitoric manifolds". Sbornik Math. 199 (2008), no.7-8, 1201-1223; arXiv:math.AT/0607094.
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"Toric Kempf-Ness sets". Proceedings of the Steklov Institute of Mathematics, vol.263, 2008, pp.150-162; arXiv:math.AG/0603556.
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"Toric cohomological rigidity of simple convex polytopes". Submitted preprint (2008); arXiv:0807.4800.
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Toric Topology. International Conference, May 28--June 3, 2006, Osaka City University, Osaka, Japan. Contemporary Mathematics, vol.460, American Mathematical Society, Providence, RI, 2008 (401 pages).
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"Torus graphs and simplicial posets". Advances in Math. 212 (2007), no.2, 458-483.
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"Spaces of polytopes and cobordism of quasitoric manifolds". Moscow Math. Journal 7 (2007), no.2, 219-242.
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"On the cohomology of torus manifolds", Osaka J. Math. 43 (2006), 711-746.
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Sbornik zadach po analiticheskoj geometrii i linejnoj algebre (Problem book in analytic geometry and linear algebra, in Russian), Yu.M.Smirnov ed. Fizmatlit, Moscow, 2000; 2nd edition, Moscow State University, 2005.
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"Colimits, Stanley-Reisner algebras, and loop spaces". In: "Categorical Decomposition Techniques in Algebraic Topology" (G.Arone et al eds.). Progress in Mathematics, vol.215, Birkhauser, Basel, 2004, pp.261-291.
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"Cellular cochain algebras and torus actions". Russian Math. Surveys 59 (2004), no.3, 562-563; arXiv:math.AT/0407189.
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"Combinatorics of simplicial cell complexes, and torus actions". Proceedings of the Steklov Institute of Mathematics, vol. 247, 2004, pp.33-49.
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"Toricheskie deistiviya v topologii i kombinatorike" (Torus Actions in Topology and Combinatorics, in Russian). MCCME, Moscow, 2004, 272 pages.
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"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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"Hirzebruch genera of manifolds with torus actions". Izvestiya: Mathematics 65 (2001), no.3, 543-556; arXiv:math.AT/9910083.
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"Torus actions, equivariant moment-angle complexes and coordinate subspace arrangements". Journal of Math. Sciences 113 (2003), no. 4, 558-568; arXiv:math.AT/9912199.
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"Torus actions determined by simple polytopes". In: "Geometry and Topology: Aarhus" (K.Grove, I.H.Madsen, and E.K.Pedersen, eds.). Contemporary Mathematics, vol.258, American Mathematical Society, Providence, RI, 2000, pp.33-46.
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