Curriculum Vitae
Personal:
Born 10 February 1975 in Kiev, Ukraine, USSR. Russian citizen. Married, two children.
Education and degrees:
 2009:
 Doctor of Science degree, Moscow State University.
Title: ``Topology and combinatorics of torus actions'', defended
25 December 2009.
(Doctor of science thesis is a profound scientific research work
required for attaining highest academic positions or professorships
in the former USSR.)
 19961999:
 Candidate of Science degree (equivalent to PhD),
Moscow State University.
Advisor: Prof. Victor M. Buchstaber.
Title: ``Topological invariants of manifolds with T^{n} or Z/paction",
defended 11 June 1999.
 19911996:
 Diploma of Higher Education (equivalent to MSc), Moscow State University.
Diploma cum laude, 1996.
Thesis: ``Hopf 2algebra structures in
cohomology of manifolds, and duality properties".
Positions:
 October 2010present time:
 Professor, Faculty of
Mathematics and Mechanics, Moscow State University.
 September 2000present time:
 Research fellow, Institute for
Theoretical and Experimental Physics, Moscow.
 April 2008present time:
 Leading research fellow, Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow.
 September 2005July 2006:
 JSPS postdoctoral research fellow,
Department of Mathematics, Osaka City University, Japan
(host: Prof. Mikiya Masuda).
 February 2001February 2002:
 Royal Society/NATO postdoctoral fellow,
Department of Mathematics, University of Manchester, U.K
(host: Prof. Nigel Ray).
 September 2001September 2010:
 Docent (equivalent to associate professor), Faculty of Mathematics and Mechanics, MSU.
 September 1999August 2001:
 Assistant professor, Faculty of Mathematics and Mechanics, MSU.
 19971999:
 Junior research fellow, Faculty of Mathematics and Mechanics, MSU.
Research interests:
Algebraic and differential topology
(cobordism theories and genera, torus actions, homotopy theory),
algebraic geometry (toric varieties), combinatorics and
combinatorial geometry (polytopes, complexes, arrangements).
Honours and grants awarded:
 1996present:
 Ongoing participation in research
projects funded by the Russian Foundation for Basic Research
(RFBR grants 960100054, 961596027, 960101404, 990100090,
001596011, 010100546, 020100659, 040100702, 050101032, 080100541, 090100142, 090100239, 110100694, 120100873, 140100537 (initiative projects), 080191855KO, 140192612KO
(RussianBritish, team leader, participant), 100192102JF, 120192104JF (RussianJapanese),
110190413Ukr (RussianUkrainian), 130191151GFEN (RussianChinese, team leader))
 2003present:

Russian Government Programme for the Support of Leading Scientific Schools (grants NS2185.2003.1, NS4182.2006.1, NS1824.2008.1, NS5413.2010.1, NS49952012.1, NS4833.2014.1, member)
 2014present:

Russian Science Foundation (grants 141100414, 141100150, member)
 20112013, 20142016:

Prize and stipend of Dmitri Zimin's "Dynasty" foundation for young scientists with a Doctor of Science degree.
 20112012, 20132014:

President of Russia's Grant Programme for the support of young scientists with Dr.Sci degree (personal grants MD2253.2011.1, MD111.2013.1).
 2010:

Moscow State University Shuvalov prize of I degree
 2009:
 Moscow State University Prize for young scientists.
 20072009:
 Pierre Deligne stipend (awarded as the winner
of the 2006 Pierre Deligne contest; funded by P.Deligne's 2004 Balzan prize in Mathematics.)
 20052006:
 JSPS postdoctoral research
fellowship,
Department of Mathematics, Osaka City University
(host: Prof. Mikiya Masuda).
 2005:
 London Mathematical Society grant for
young Russian mathematicians,
University of Manchester.
 2004:
 Prize of the
International Academic Publishing Company 'Nauka/Interperiodica'
for the best publications in its journals.
 2004:
 Moscow Mathematical Society
Prize for young mathematicians
for the series of works ``Invariants of manifolds with group actions".
 2001, 2002, 2003:
 State Prize for young researchers, Russian Ministry of Nuclear Energy,
Institute for Theoretical and Experimental Physics, Moscow.
 20012002:
 Royal Society/NATO postdoctoral research fellowship,
Department of Mathematics, University of Manchester
(host: Prof. Nigel Ray).
 19981999:
 Participated in the INTAS longterm research grant
INTAS 960770.
Research visits:
 April 2016, June 2015, November 2012, NovemberDecember 2010, JulyAugust 2007, NovemberDecember 2004, NovemberDecember 2002:
 Osaka City University, Japan.
 NovemberDecember 2014, JuneJuly 2013, November 2009, January 2008:
 Fudan University, Shanghai, China.
 September 2014:
 Department of Mathematical Sciences, University of Southampton, UK.
 OctoberNovember 2013:
 Centre Interfacultaire Bernoulli, EPFL, Lausanne, Switzerland.
 AugustSeptember 2013, July 2010, August 2008:
 Sobolev Institute of Mathematics, Novosibirsk, Russia.
 JuneJuly 2012:
 Institute of Mathematics, University of Aberdeen, UK.
 April 2011:
 Institute for Advanced Study, Princeton, USA.
 September 2010, November 2008, July 2008, February 2007:
 University of Manchester, U.K.
 July 2010, August 2008:
 Sobolev Institute of Mathematics, Novosibirsk, Russia.
 February 2006:
 Korea Advanced Institute of Science and Technology,
Daejeon, Republic of Korea.
 July 2005:
 Australian National University, Canberra, Australia.
 January 2005:
 University of Manchester, U.K.,
London Mathematical Society grant for
young Russian mathematicians.
 July 2004:
 UMIST, U.K.,
Royal Society Visiting Fellowship.
 August 2003February 2004:
 University of Manchester, U.K.,
EPSRC Visiting Fellowship.
 JanuaryFebruary 2003:
 Universitat Autonoma de Barcelona, Spain.
 September 2002:
 Isaac Newton Institute for Mathematical
Sciences, Cambridge, U.K.
Conference presentations:
 2629 October 2015
 International ChineseRussian Conference
"Torus Actions: Topology, Geometry and Number Theory", Beijing, China; plenary talk
``Cohomology of quotients of momentangle manifolds'' pdfslides
 612 September 2015
 International Conference "Toric Topology, Number Theory and Applications", Khabarovsk, Russia; plenary talk
``On toric generators in the unitary and special unitary bordism rings'' pdfslides
 2428 August 2015
 International Conference Combinatorial and Toric Homotopy,
on the occasion of Professor Frederick Cohen's 70th Birthday, National University of Singapore;
invited talk ``On the cohomology of partial quotients
of momentangle manifolds'' pdfslides
 1619 June 2015
 International Meeting Toric Topology 2015 in Osaka,
Osaka, Japan; talk ``On toric generators in the unitary and special unitary bordism rings''
 1821 March 2015
 Geometry and Topology, A conference in honor of Martin Bendersky's seventieth birthday
and in commemoration of Sam Gitler, Princeton University, USA;
plenary talk ``On toric generators in the unitary and special unitary bordism rings''
pdfslides
 1519 December 2014
 Group Action Forum, Tsinghua Sanya International Mathematics Forum, China;
plenary talk ``Complex geometry of momentangle manifolds'' pdfslides
 1315 November 2014
 The 41th Symposium on Transformation Groups, Gamagori, Japan;
plenary talk ``On the rational formality of toric spaces
and polyhedral products'' pdfslides
 2427 September 2014

International Conference "Geometry Days in Novosibirsk, 2014",
dedicated to 85th anniversary of academician Yuri Grigorievich Reshetnyak, Novosibirsk, Russia;
plenary talk ``Bott towers and equivariant cobordism'' pdfslides
 27 January1 February 2014
 Conference and School "Lie algebras, algebraic groups, and invariant theory", Moscow, Russia; invited talk
``Complex geometry of momentangle manifolds'' pdfslides
 2124 January 2014
 International meeting "Toric Topology 2014 in Osaka", Osaka, Japan; talk
``Bott towers and equivariant cobordism''
 47 December 2013
 International Conference "Geometry and Analysis on Metric Structures", Novosibirsk, Russia;
plenary talk ``Intersections of quadrics and Hamiltonianminimal
Lagrangian submanifolds'' pdfslides
 2527 September 2013
 Conference to celebrate Samuel Gitler's 80th birthday, El Colegio Nacional, Mexico City, Mexico; plenary talk
``Complex geometry of momentangle manifolds'' pdfslides
 27 September 2013
 Open ChineseRussian Conference "Torus Actions: Topology, Geometry, Number Theory", Khabarovsk, Russia; plenary talk ``Homotopy theory of momentangle complexes'' pdfslides
 2831 August 2013
 International Conference "Geometry Days in Novosibirsk, 2013", Novosibirsk, Russia;
plenary talk ``Complex geometry and toric topology'' pdfslides
 812 July 2013
 International Conference on Algebraic and Geometric Topology, Chern Institute, Nankai University, Tianjin, China;
plenary talk ``Complex geometry and toric topology'' pdfslides
 16 July 2013
 Workshop on Algebraic Topology, Capital Normal University, Beijing, China;
colloquium talk ``Geometric structures on momentangle manifolds'' pdfslides
 811 January 2013
 Christmas Mathematical Meeting of the "Dynasty" Foundation, Independent University of Moscow, Moscow, Russia;
invited talk ``Homotopy type of momentangle complexes'' pdfslides (in Russian)
 1721 December 2012
 International Conference "Analysis and Singularities" dedicated to the 75th anniversary of V.I.Arnold, Moscow, Russia;
plenary talk ``Intersections of quadrics and Hamiltonianminimal Lagrangian submanifolds'' pdfslides
 2325 November 2012
 The 39th Symposium on Transformation Groups, Tokyo, Japan;
plenary talk ``Homotopy type of momentangle complexes'' pdfslides
 1619 November 2012
 International meeting Toric Topology 2012 in Osaka, Osaka, Japan;
talk ``Momentangle complexes corresponding to chordal graphs''
 38 September 2012
 International Conference XVII Geometrical Seminar, Zlatibor, Serbia;
plenary talk ``Intersections of quadrics and Hminimal Lagrangian submanifolds'' pdfslides
 1416 March 2012
 Conference in Discrete and Computational Geometry, Delone Laboratory, Jaroslavl, Russia;
talk ``Toric Topology'' pdfslides
 27 February2 March 2012
 RussianGerman conference on Several Complex Variables, Moscow, Russia;
invited talk ``NonKaehler complex structures on
momentangle manifolds and other toric spaces'' pdfslides
 810 January 2012
 Christmas Mathematical Meeting of the "Dynasty" Foundation; dedicated to the XX anniversary of the Independent University of Moscow, Moscow, Russia;
talk ``Intersections of quadrics and Hminimal Lagrangian submanifolds''
 19 December 2011
 10th Pacific Rim Geometry Conference, Osaka and Fukuoka, Japan; plenary talk
``Intersections of quadrics and Hminimal Lagrangian submanifolds'' pdfslides
 510 September 2011
 International Conference "Toric Topology and Automorphis Functions", Khabarovsk, Russia; plenary talk
``Geometric structures on momentangle manifolds'' pdfslides
 14 September 2011
 International Conference "Geometry Days in Novosibirsk", Novosibirsk, Russia; invited talk
``Intersections of quadrics, momentangle manifolds, and Hamiltonian minimal Lagrangian embeddings''
 1820 July 2011
 International Conference "Toric Methods in Homotopy Theory and Related Subjects", Queen's University Belfast, UK; plenary talk
``Homotopy colimits and loops on toric spaces''
 14 July 2011
 80th meeting of the
Transpennine Topology Triangle, Manchester, UK; Plenary talk
``Geometric structures on momentangle manifolds'' pdfslides
 31 January5 February 2011
 Conference and School "Lie algebras, algebraic groups, and invariant theory", Moscow, Russia; invited talk
``Complex structures on momentangle manifolds''
 14 December 2010
 Workshop ``Toric geometry, toric topology and combinatorics'', Osaka City University, Osaka, Japan; invited lectures ``Momentangle manifolds, intersections of quadrics and Lagrangian embeddings'' and ``Momentangle manifolds from simplicial posets''
 2325 November 2010
 Symposium on Transformation Groups, Fukuoka,
Japan; invited talk ''Complexanalytic structures on momentangle manifolds'' pdfslides
 712 November 2010
 International meeting ``Topological methods in toric geometry, symplectic geometry and
combinatorics'', Banff
International Research Station, Canada; plenary talk ``Complexanalytic structures on momentangle manifolds'' pdfslides
 710 October 2010
 Congress of Mathematicians and Physicists of Montenegro, Petrovac, Montenegro; invited talk
``Complex geometry and toric topology'' pdfslides
 2226 February 2010
 Toric Topology Workshop,
Korea Advanced Institute of Science and Technology, Daejeon, South Korea;
Series of 4 invited lectures ``Momentangle manifolds in toric topology''
 1518 December 2009
 Conference ``Information Technologies and Systems'', Institute for Information Transmission Problems,
Russian Academy of Science;
1 hour invited talk ``Toric topology'' pdfslides
 1012 December 2009
 Conference on Transformation Groups, Osaka, Japan; 1 hour invited talk ``The universal toric genus'' pdfslides
 711 September 2009
 Bratislava Topology Symposium "Group Actions and Homogeneous Spaces", Bratislava, Slovakia; plenary talk ``Torus actions and complex cobordism'' pdfslides
 1520 July 2009
 Dobrushin International Conference, IITP, Moscow, Russia; plenary talk ``Toric topology'' pdfslides
 611 July 2009
 International Conference on Algebraic Topology CAT'09, Warszawa, Poland; plenary talk ''From real quadrics to polytopes via manifolds'' pdfslides
 2530 June 2009
 XXXIV Far Eastern Mathematical School and Seminar ``Fundamental problems of Mathematics and Information sciences'', Khabarovsk, Russia;
30min invited talk ''Momentangle manifolds in toric topology'' pdfslides
 1213 January 2009
 Conference ``Young Mathematics of Russia'', Moscow, Russia; 30 min invited talk ``Momentangle manifolds in toric topology'' pdfslides
 410 January 2009
 International meeting ''Toric Geometry'', Oberwolfach, Germany; 50 min invited talk ''Toric KempfNess sets'' pdfslides
 711 July 2008
 International Conference ``New Horizons in Toric Topology'', Manchester, U.K.; 1 hour plenary talk ``Momentangle manifolds: recent developments and
perspectives'' pdfslides
 3 June 2008
 Conference ``Novikov Day'' dedicated to the 70th Anniversary of the of Sergei P. Novikov,
Steklov Institute, Moscow, Russia; 30 min talk ``Torus actions and complex
cobordism'' pdfslides
 1722 December 2007
 International Conference ``Transformation Groups'' dedicated to the 70th Anniversary
of the of Ernest B. Vinberg, Moscow, Russia; 30 min talk ``Algebraic torus actions, KempfNess sets and real
quadrics in C^{m}'' pdfslides
 1723 September 2007
 Russian Conference ``Mathematics in the Modern World'' dedicated to the 50th Anniversary
of the Sobolev Institute of Mathematics, Novosibirsk, Russia; 20 min talk ``Torus actions and complex
cobordisms'' pdfslides
 1727 July 2007
 Osaka City University
Summer School on Symplectic Geometry and Toric Topology; series of lectures ``Toric topology and complex cobordism'' pdf
 2226 May 2006
 RIMS Conference "Methods of Transformation Group Theory", Kyoto, Japan;
1 hour invited talk ``Topology of KempfNess sets for algebraic torus actions'' pdfslides
 2830 November 2005
 Workshop on KTheory and Its Applications, Okayama, Japan;
1 hour invited talk "Ktheory and cobordisms of toric manifolds"
 2426 November 2005
 Symposium on Transformation Groups, Osaka,
Japan; 50 min invited talk "Spaces of polytopes, and cobordisms of toric manifolds" pdfslides
 1121 July 2005
 Categories in Algebra, Geometry and Mathematical Physics,
Conference in honour of Ross Street's sixtieth birthday,
Sydney and Canberra, Australia; 40 min invited talk
"Model categories and homotopy colimits in toric topology" pdfslides
 26 June2 July 2005
 International Conference
Contemporary Geometry and Related Topics, Belgrade, Serbia and Montenegro;
30 min talk "Spaces of polytopes and cobordisms of toric manifolds" pdfslides
 39 April 2005
 International conference on Selected Problems of Modern Mathematics
Dedicated to the 200th anniversary of K.G.Jacobi, Kaliningrad, Russia; 15 min talk pdfslides
 1419 February 2005
 International conference "Topology, analysis and applications
to mathematical physics" dedicated to the memory of Yu. P. Solovyov,
Moscow, Russia; 30 min talk.
 26 September3 October 2004:
 The XI Congress of Mathematicians of Serbia and Montenegro, Petrovac na Moru, Crna Gora, 30 min invited talk "Toric topology" pdfslides.
 1719 November 2004
 Symposium on Transformation Groups, Tokyo,
Japan; 50 min invited talk "Toric topology" pdfslides.
 1318 September 2004:
 ``Algebraic models of topological spaces and fibrations", international conference dedicated to the 90th anniversary of George Chogoshvili, Tbilisi, Georgia; 45 min invited talk ``Toric topology".
 36 July 2004:
 ``Geometry, Topology, and Combinatorics" a satellite conference
of the 4th European Congress of Mathematics, Stockholm, Sweden;
30 min invited talk.
 1824 April 2004:
 International meeting ``Cohomological Aspects of Hamiltonian Group
Actions and Toric Varieties", Oberwolfach, Germany; 1 hour invited talk ``Rational aspects of toric topology"
pdfslides.
 810 September 2003:
 18th British Topology Meeting, Manchester,
U.K.; 1 hour invited talk ``The cohomology of torus manifolds".
 2628 November 2002:
 Workshop on Transformation Groups, Tokyo,
Japan; 1 hour invited talk ``Topology and combinatorics of torus actions".
 16 July 2002:
 Algebraic Topology conference, Barcelona, Spain; poster.
 2731 May 2002:
 Modern Homotopy Theory conference, Lille,
France; 40min talk ``Homotopy and homology of certain loop
spaces" pdfslides.
 37 September 2001:
 Algebraic Topology Conference, Nantes,
France; 40min plenary talk ``Combinatorics, topology and homotopy
theory of toric spaces".
 11 July 2001:
 30th Transpennine Topology Triangle Meeting,
Sheffield, U.K.; 1 hour invited talk ``Combinatorics, topology and
homotopy theory of toric spaces".
 2430 June 2001:
 International Conference on Algebraic
Topology, Isle of Skye, Scotland, U.K.; 30min talk
``Combinatorial aspects of torus actions".
 48 June 2001:
 International conference on Algebraic Topology, Gdansk,
Poland; 45min talk ``Cobordism invariants of manifolds with torus
actions".
 79 April 2001:
 16th British Topology Meeting, Edinburgh, U.K.;
40min talk ``Combinatorial aspects of torus actions".
 1014 July 2000:
 3rd European Congress of Mathematicians,
Barcelona, Spain; poster ``Torus actions, simple polytopes and
coordinate subspace arrangements".
 47 July 2000:
 International conference ``1st EuroMediterranean Topology Meeting",
Barcelona, Spain; poster "Torus actions, simple polytopes and coordinate subspace
arrangements".
 27 February4 March 2000:
 International meeting ``Lattices,
Polytopes and Tilings", Oberwolfach, Germany; 1hour talk ``Torus
actions, simple polytopes and coordinate subspace arrangements".
 915 October 1999:
 International conference ``Modern topological methods and their
applications", Tbilisi, Georgia;
45min invited talk ``On Hirzebruch genera of manifolds with torus
actions".
 1925 August 1999:
 International conference ``Topology and
Dynamics: Rokhlin Memorial", Vladimir A. Rokhlin's 80th Anniversary,
St. Petersburg, Russia; 25min talk ``Algebraic topology of torus
actions on manifolds defined by simple polytopes".
 38 September 1998:
 International conference ``Algebraic
topology meeting'1998", Angers, France (satellite of the ICM'98,
Berlin); poster.
 30 August6 September 1998:
 International conference dedicated
to the 90th Anniversary of L.S.Pontrjagin, Moscow, Russia
(satellite of the ICM'98, Berlin); 35min. talk ``Torus actions
and the EilenbergMoore spectral sequences" and a paper published
in the Proceedings volume.
 915 August 1998:
 International conference ``Geometry and Topology'98",
Aarhus, Denmark (satellite of the ICM'98, Berlin); a paper is
published in the Proceedings volume (AMS Contemporary Mathematics series).
Member of organising and programme committees:
 International ChineseRussian Conference
"Torus Actions: Topology, Geometry and Number Theory" (Beijing, China, 2629 October 2015)
 International Conference "Toric Topology, Number Theory and Applications" (Khabarovsk, 612 September 2015)
 "Toric Topology and Integrability",
thematic semester of Mathematical Sciences Program,
Skolkovo Institute of Science and Technology (1 October 201428 February 2015)
 "Topology of Torus Actions and Applications to Geometry and Combinatorics", a
satellite conference of ICM 2014, Seoul (Daejeon, South Korea, 711 August 2014)
 Open ChineseRussian Conference "Torus Actions: Topology, Geometry, Number Theory" (Khabarovsk, 27 September 2013)
 International Conference
"Algebraic Topology and Abelian Functions"
in honour of Victor Buchstaber on the occasion of his 70th birthday
(Moscow, 1722 June 2012)
 International Conference
"Toric Topology and Automorphic Functions"
(Khabarovsk, 510 September 2011)
 International Conference
"Geometry, Topology, Algebra and Number Theory, Applications"
dedicated to the 120th anniversary of Boris Delone (Moscow, 1620 August 2010)
 International Conference
"Differential Equations and Topology''
dedicated to the Centennial Anniversary of L.S.Pontryagin (Moscow, June 2008).
 International Conference on Toric Topology (Osaka, 29 May3 June 2006).
 "Geometric Topology, Discrete Geometry
and Set Theory'', L.V.Keldysh Centenary conference (Moscow, August 2004).
 "Solitons, Geometry and Topology: on the Crossroads" in honour of Sergey Novikov (Moscow,
May 1998)
Talks at geometry, topology and combinatorics seminars:
Moscow State University, Steklov Institute of Mathematics,
Independent University of Moscow, Institute for Theoretical and
Exprerimental Physics, Institute for Information Transmission
Problems (Moscow), Steklov Institute of Mathematics
(St. Petersburg), Sobolev Mathematical Institute (Novosibirsk), Fudan University, Nankai University, Zhejiang University, Capital Normal University (China),
Universitaet Osnabrueck (Germany), Universities of Kyoto, Okayama, Osaka,
Osaka City (Japan), Universitat Autonoma de Barcelona (Spain),
Universities of Aberdeen, Bristol, Edinburgh,
Leicester, Loughborough, Manchester, Sheffield, Swansea (U.K.), Princeton University, Rice University (USA).
Member of the Editorial Board:
European Journal of Mathematics,
Far Eastern Mathematical Journal,
Moscow Mathematical Journal,
The Manifold Atlas Project
Refereeing:
Acta Mathematica, Advances in Mathematics, Algebraic and Geometric
Topology, Annales de L'Institut Fourier, Central European Journal of Mathematics, Contemporary
Mathematics, Far Eastern Mathematical Journal, Forum Mathematicum, Functional Analysis and Applications, Izvestiya: Mathematics,
Journal of Algebraic Combinatorics, Journal of Topology, Mathematical Notes, Mathematical Research Letters, Mathematische Zeitschrift,
Moscow Mathematical Journal, Osaka Journal of Mathematics, Proceedings of the Edinburgh
Mathematical Society, Proceedings of the Steklov Institute of
Mathematics, Progress in Mathematics, Russian Mathematical
Surveys, Siberian Mathematical Journal, Sbornik Mathematics, Tbilisi Mathematical Journal,
Topology and its Applications, Transformation Groups, etc.

