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wK>$$$=x$$$$}$$$$$$$$$(:Victor M. Buchstaber
Corresponding Member
of the Russian Academy of Sciences
Professor
PERSONAL
Born: 1 April 1943, Tashkent, USSR
Citizen of Russian Federation
Married with two children, born 1967 and 1972
EDUCATION
19601964 Tashkent State University, Mechanical Mathematical Department
19641966 Moscow State University, Mechanical Mathematical Department
19661969 Postgraduate study at Moscow State University.
QUALIFICATION
1967 Diploma in Mathematics, Moscow State University
Thesis: "On the Jfunctor of cell complexes"
Advisors: Professors S.P.Novikov and D.B.Fuks.
Ph.D. in Mathematics
Thesis: "Cohomology operations in generalized cohomology theories"
Advisors: Professors S.P.Novikov and D.B.Fuks.
Dr. Sc. in Mathematics.
Thesis: "Twovalued formal groups. Algebraic theory and topological
applications."
2006 Corresponding Member of the Russian Academy of Sciences
APPOINTMENTS
19691979 VNIIFTRI (National Scientific and Research Institute for Physical
Technical and Radiotechnical Measurements), Research scientific positions
1979  present VNIIFTRI, Head of the Mathematical Modeling Laboratory (now parttime position)
1993  present The Chair of Higher Geometry and Topology, Department of Mathematics of Moscow
State University, Professor (parttime position)
1996  2006 The Geometry and Topology Division of Steklov Mathematical Institute,
Russian Academy of Sciences, Research Leader
2005  2010 The School of Mathematics, University of Manchester, Professor (parttime position)
2010  present The School of Mathematics, University of Manchester, Emeritus Professor
2006  present The Geometry and Topology Division of Steklov Mathematical Institute,
Russian Academy of Sciences, Principal Researcher
2007  present Dobrushin Mathematical Laboratory, Institute for Information Transmission
Problems, Principal Researcher (parttime position)
SCIENTIFICORGANIZATIONAL RESPONSIBILITIES
1994  2010 Member of the Manager Council of the Moscow Mathematical Society
2010  present Vicepresident of the Moscow Mathematical Society
1995  present Deputy EditorinChief of the Journal Uspekhi Mat. Nauk (= Russia Math.
Surveys)
1995  present Member of the Editorial Board of Funktsional. Anal. i Prilozhen
(= Functional Anal. and Appl.)
1996  2004 Coordinator of the Expert Committee in Mathematics in the Russian Foundation
for Basic Research
1997 2013 Member of the Editorial Council of Theory of Probability and Applications
Chairman of the Organizing Committee of the International Conference Solitons,
Geometry and Topology: on the Crossroads, in Honour of the 60th Anniversary of
Academician S.P. Novikov.
2001  2008 Member of the Executive Committee of the European Mathematical Society
2001  2012 Member of the Editorial Board of Moscow Mathematical Journal
2013  present Member of the Editorial Council of Moscow Mathematical Journal
2002  present Member of the Scientific Council of the RussianFrench Laboratory for
Mathematics, Informatics and Mathematical Physics (Russian Academy of
Sciences, Independent University of Moscow and Centre National de la
Recherche Scientifique)
Member of the Scientific Committee of the International Conference
Differential and Functional Differential Equations, Moscow, August 11 17.
Satellite Conference of the International Congress of Mathematics, Beijing,
August 20 28.
2003 Member of the Organizing and Scientific Committee of the International
Conference Kolmogorov and Contemporary Mathematics,
Chairman of the section Geometry and Topology, Moscow, June 16 21.
2003 Member of the Prize Committee at the European Congress of Mathematics,
of the 4th European Congress of Mathematics, Stockholm, 2004, June 27 July 2.
2004 Member of the Grant Committee at the European Congress of Mathematics,
of the 4th European Congress of Mathematics, Stockholm, 2004, June 27 July 2.
2004 Coorganizer of the Satellite Conference Geometry, Topology and Combinatorics,
Stockholm, July 3 6, of the 4th European Congress of Mathematics, Stockholm,
June 27 July 2.
2004 Coorganizer of the International Conference Geometric Topology, Discrete Geometry
and Set Theory, dedicated to the 100th anniversary of L.V. Keldysh,
Chairman of the section Combinatorial Geometry and Algebraic Topology,
Moscow, August 24 28.
2005 Member of the Organizing and Scientific Committee of the International
Conference Selected Problems of Modern Mathematics dedicated to
the 200th anniversary of K.G.Jacobi, Kaliningrad (Konigsberg), April 4 8.
2005 Member of the Program Committee of the 4th International Conference
Differential and Functional Differential Equations, Moscow, August 14 21.
2005  2009 Member of the Pierre Deligne Contest Jury
2006  2008 Coordinator of the Expert Committee in Mathematics in the Russian Foundation
for Basic Research
2006  present Member of the Editorial Board of Tbilisi Mathematical Journal
2007 Member of the Grant Committee at the European Congress of Mathematics,
of the 5th European Congress of Mathematics, Amsterdam, July 14 18, 2008.
2008  present Member of the Editorial Board of Proceeding of the Moscow Mathematical Society
Coorganizer of the International Conference New Horizons in Toric Topology,
Manchester, July 7 11. Satellite Conference of the 5th European Congress
of Mathematics, Amsterdam, July 14 18, 2008.
2008 Head of the Organizing Committee of the LXXI Moscow Mathematical Olympiad,
Moscow, March, 2008.
Coorganizer of the Conference Novikov s Day , dedicated to the 70th anniversary
>f academician Sergey P.Novikov, Moscow, June 3, 2008.
Member of the Organizing and Scientific Committee of the International Conference
Differential Equations and Topology dedicated to the 100th anniversary of
L. S. Pontryagin, Chairman of the section Geometry and Topology, Moscow,
June 17 22 , 2008.
2009  present Vicechairman of the Expert Committee in Mathematics, Mechanics and Informatics
in the Russian Foundation for Basic Research.
2009  2010 Vicechairman of the Expert Committee Fundamental Problems of Theoretical
Mathematics, administrative department for interdisciplinary aligned basic
research in the Russian Foundation for Basic Research.
Member of the Organizing Committee of the International (jubilee) Conference
Contemporary Problems of Mathematics, MIAN, Moscow, June 8 10, 2009;
POMI, SaintPetersburg, June 11 12 , 2009.
2009 Member of the Organizing Committee of the International Conference Toric
Topology, Manchester, UK, November 2 3, 2009 (Joint Grant of Russian
Foundation for Basic Research with The Royal Society).
2009  2010 Member of the Programme Committee of the International Conference Topology,
Geometry, and Dynamics: Rokhlin Memorial, Dedicated to the 90th anniversary of the
birthday of Vladimir Rokhlin (1919 1984), SaintPetersburg, Russia, 1116 January,
2010.
2010  present Member of the "Dynasty" Contest Jury.
2010 Vicechairman of the Programme Committee of the International Conference
Geometry, Topology, Algebra and Applications, Dedicated to the 120th anniversary
of the birthday of Boris Delone (1890  1980), Chairman of the section Topology,
MIAN, Russia, August 16 19, 2010.
2010 Member of the Programme Committee of the International Conference Geometry,
Dynamics, Itegrable Systems GDIS 2010, Belgrade, 7 12 September, 2010.
2010 Vicechairman of the Programme Committee of the International Conference
Geometry and Integrable systems, in Honour of the 60th Anniversary of
professor Igor Krichever, MIAN, Russia, December 27 30, 2010.
2011 present Vicechairman of the Expert Committee Fundamental mathematics in the natural
sciences, engineering and information technology, administrative department for
interdisciplinary aligned basic research in the Russian Foundation for Basic
Research.
2011 Member of the Programme Committee of the International Conference DFDE2011
Sixth International Conference on Differential and Functional Differential Equations,
MIAN, Russia, August 14 21, 2011.
2011 Chairman of the Programme Committee of the International Conference TTAF Toric Topology and Automorphic Functions, IAM, Khabarovsk, Russia,
September 05 10, 2011.
2011 Member of the Programme Committee of the International Conference Geometrical
Methods in Mathematical Physics, Moscow (Russia), 12 17 December 2011.
2012 Member of the Programme Committee of the International Topological Conference
Alexandroff Readings, Moscow, May 21 25, 2012.
2012 Member of the Programme Committee of the Yaroslavl International Conference
Discrete Geometry dedicated to centenary of A.D.Alexandrov, Yaroslavl, Russia,
August 13 18, 2012.
2012 Member of the Programme Committee of the International Conference "Geometry
Days in Novosibirsk, 2012" Dedicated to 100th anniversary of A.D.Aleksandrov,
Sobolev Institute of Mathematics, Novosibirsk, Russia, August 30 September 1,
2012.
2012 Member of the Programme Committee of the Fourth Geometry Meeting dedicated
to the centenary of A.D.Alexandrov, St. Petersburg, Russia, August 20 24, 2012.
2013 Vicechairman of the Organizing Committee of the Conference Novikovs Day,
dedicated to the 75th anniversary >f academician Sergey P.Novikov, Moscow,
MIAN, June 17, 2013.
2013 Chairman of the Programme Committee of the International Conference Toric Actions: Topology, Geometry and Number Theory , September 02 07, 2013,
IAM, Khabarovsk, Russia.
2013 Vicechairman of the Second international conference "Jacobi 2013" "HighPerformance
Computing: Mathematical Models and Algorithms", Immanuel Kant Baltic Federal
University, Kaliningrad, Russia, October 01 05, 2013.
2014 Member of the Programme Committee of the International Conference Topology of Torus
Actions and Applications to Geometry and Combinatorics , August 07 11, 2014, Daejeon,
Korea, Satellite Conference of ICM 2014, August 12 21, Korea.
2014 Member of the Programme Committee of the International Conference DFDE2014
Seventh International Conference on Differential and Functional Differential Equations,
August 26 28, 2014, Moscow, Russia, Satellite Conference of ICM 2014, August 12 21,
Korea.
2014 Coorganizer of the International Conference Geometry, Topology and Integrability,
October 21 25, Skolkovo, Moscow, Russia.
TEACHING
1968  1972 The courses in Algebraic Topology at the Department of Mechanics and Mathematics
of Moscow State University.
1984  1990 The postgraduate courses in Applied Mathematics and Statistics at the National
Scientific and Research Institute for PhysicalTechnical and Radiothechnical Measurements.
1992 The course of Applied Statistics at University of Vienna, Institute fur Statistic and
Computer Science, Austria.
1993  present The courses "Modern Methods of Algebraic Topology and its Applications" at
the Department of Mechanics and Mathematics, Moscow State University.
2005  2010 The courses "Advanced Algebraic Topology" at the School of Mathematics,
Manchester University, UK.
FELLOWSHIPS AND PROFESSIONAL BODIES
1968 The Moscow Mathematical Society
1999 The American Mathematical Society
2001 The London Mathematical Society
2004 Corresponding Fellow of the Royal Society of Edinburgh
SOME SELECTED AWARDS
1970 Prize of the Moscow Mathematical Society for the contributions to Ktheory
and the theory of cobordism.
1994  2003 Russian State Scientific Scholarship
The circle of the papers on the Abelian functions theory and its applications to mathematical physics was included in the list of the best papers of Russian Academy of Sciences for 1999 year.
2003  present Russian State Scientific Scholarship for Scientific School.
2003 Viktor Matveevich Buchstaber (on his 60th birthday), Russian Mathematical Surveys,
v. 58, ! 3, 2003.
2003 Victor Matveevich Buchstaber (on his 60th birthday), Moscow Mathematical Journal,
v. 3, ! 1, 2003.
2004 Prize of the International Academic Publishing Company Nauka/Interperiodika
for the best publications in its journals.
2007 The circle of the papers on the Toric Topology was included in the list of the best papers
of Steklov Mathematical Institute , Russian Academy of Sciences for 2007 year.
2013 The circle of the papers Theory of 2truncated Cubes and Applications was included
in the list of the best papers of Steklov Mathematical Institute , Russian Academy
of Sciences for 2013 year.
2013 Victor Matveevich Buchstaber (on his 70th birthday), Russian Mathematical Surveys,
v.68, ! 3, 2013.
2013 Conference Algebraic Topology and Abelian Functions in honor of Victor Buchstaber
on the occasion of his 70th birthday, 18 22 June 2013, MIAN, Moscow, Russia.
2013 Proceeding of the Moscow Mathematical Society, v. 74, N 2, Collected papers in honor
of Victor Buchstaber on the occasion of his 70th birthday.
2014 Proceeding of the V.A.Steklov Inst. Math. Algebraic Topology, Convex Polytopes,
and Related Topics, v. 286, Collected papers in honor of Victor Buchstaber
on the occasion of his 70th birthday.
SOME SELECTED HONORABLE INVITED TALKS
Invited speaker at the International Mathematical Congress, Vancouver, Canada, Section of
Topology.
Adams Memorial lecturer, Manchester, UK.
Speaker at the programme "Topology", Oberwolfach, Germany.
Speaker at the programme "Singularity Theory", Newton Institute for Mathematical Sciences,
Cambridge, UK.
2001 Joint BrandeisHarvardMITNorthestern Mathematics Colloquium, Boston, USA.
2001 Speaker at the programme "Integrable Systems" Newton Institute for Mathematical Sciences,
Cambridge, UK.
2002 Invited talk, Mathematics Colloquium, The Ohio State University, USA.
2003 Invited speaker at the International Mathematical Conference "Kolmogorov and
Contemporary Mathematics", Moscow, Russia.
Speaker at the programme " Singularity Theory ", Oberwolfach, Germany.
2005 Invited talk, Pure Mathematics Colloquium, The University of Leeds, UK.
2006 Invited speaker at the International Conference "Toric Topology", 29 May
3 June, Osaka, Japan.
2007 Invited speaker at the International Conference Analysis and Singularities dedicated to
the 70th anniversary of V.I.Arnold, 20 24 August , 2007, Moscow Russia.
2007 Invited speaker at the International Conference Transformation Groups dedicated to
the 70th anniversary of Ernest B. Vinberg, 17 22 December , 2007, Moscow, Russia.
2008 Invited speaker at the Workshop Integrable Systems, 9 10 May 2008, Leeds, UK.
2008 Invited speaker at the Leicester Special Mathematics event: The World of Mathematics.
14 May 2008, Leicester, UK.
2008 The course of lectures on Toric Topology, Toric Topology Workshop, KAIST,
04 14 June 2008, Korea.
2009 Plenary talk, International conference Toric Geometry, Mathematical Research Institute
of Oberwolfach, January 04 10, 2009, Oberwolfach, Germany.
2009 The course of lectures on Toric Topology, The Serbian Academy of Science and Arts,
Department of Mathematics, May 01 10, 2009, Belgrade, Serbia.
2009 Invited talk, The Hausdorff Research Institute for Mathematics, June 15, 2009, Bonn,
Germany.
2009 Oberseminar talk, MaxPlankInstitut fur Mathematik, June 18, 2009, Bonn, Germany
2009 Plenary talk, Workshop on Geometric Methods in Physics, June 28 July 04, 2009,
Bialowieza, Poland.
2009 Talk (joint with T.E.Panov), Dobrushin International Conference, July 15 20, 2009,
Moscow, Russia.
2009 Invited talk, Seminar Geometry and Mathematical Physics, 25 November 2009,
Loughborough, United Kingdom.
2010 Plenary talk, the International Conference Topology, Geometry, and Dynamics: Rokhlin
Memorial, dedicated to the 90th anniversary of the birthday of Vladimir Rokhlin
(1919 1984, SaintPetersburg, Russia), January 1116, 2010.
2010 Invited speaker at the Berlin Mathematical School Colloquium (BMS Friday Colloquium)
5 February 2010, Urania, Berlin, Germany.
2011 Plenary talk, the International Conference Versatility of Integrability, dedicated to the 60th
anniversary of the birthday of Igor Krichever, Columbia University, NewYork,
May 03 07, 2011, USA.
2011 Invited talk, Algebraic Topology Seminar, Princeton, April 28, 2011, USA.
2011 Plenary talk, the International Conference DFDE2011 Sixth International Conference
on Differential and Functional Differential Equations, MIAN, August 1421, 2011, Russia.
2011 Plenary talk, the MiniWorkshop: New Developments in NewtonOkounkov Bodies,
Mathematical Research Institute of Oberwolfach, August 22 26, 2011, Oberwolfach,
Germany.
2011 Invited talk, the 10th Pacific Rim Geometry Conference 2011, Osaka Fukuoka,
December 01 05, 2011, Japan.
2012 Minicourse, the Group of Mathematical Physics of the University of Lisbon (GFMUL),
February 22 March 02, 2012, Portugal.
2012 Invited talk, the Heilbronn Conference to Celebrate the 70th birthday of Elmer Rees,
Bristol, April 21, 2012, United Kingdom.
2012 Invited talk, the Field Theory Group in the Department of Physics, University of
Oldenburg, May 05, 2012, Germany.
2012 Invited talk, the XVII Geometrical Seminar, Zlatibor, September 3 8, 2012, Serbia.
2012 Invited talks, Topology Seminar and Geometry and Mathematical Physics Seminar,
Manchester University, October 22 and 25, 2012, United Kingdom.
2012 Invited talk, Seminar Geometry and Mathematical Physics, Loughborough University,
November 07, 2012, United Kingdom.
2012 Invited talk, Activity Topological Dynamics in the Physical and Biological Sciences ,
Isaac Newton Institute, Cambridge, November 14, 2012, United Kingdom.
2012 Invited talk, the International Conference Algebraic Structures in Integrable Systems,
Moscow, December 4, 2012, Russia.
2012 Invited talk, the International Conference Analysis and Singularities dedicated to the 75th
anniversary of V.I.Arnold, Steklov Mathematical Institute, Moscow, December 19, 2012,
Russia.
2013 Plenary talk, the International Conference Novikovs Day, dedicated to the 75th
anniversary of the birthday of Sergey Novikov, Moscow, 17 June 2013, Russia.
2013 Plenary talk, the International Open ChineseRussian Conference Torus Actions:
Topology, Geometry and Number Theory, Khabarovsk, 02 07 September, Russia.
2013 Plenary talk, the International Conference to Celebrate Sam Gitlers 80th Birthday,
El Colegio Nacional, Mexico, 25 27 September 2013, Mexico.
2013 Bernoulli Lecture Dynamical Systems and Heat Equation, EPFL, Lausanne,
24 October 2013, Switzerland.
2013 Invited Lecture Heat Equation and Polynomial Dynamical Systems, Univ. J.Fourier,
Grenoble, 7 November 3013, France.
2013 Invited talk, Symmetric quadratic dynamical systems, Ecole Normal Superieure de Lyon,
Unite de Math. Pures et Appliquees, Seminars a IUMPA, 08 November 2013, France.
2014 Plenary talk, the International Conference Toric Topology 2014, Osaka,
21 24 January, Japan.
2014 Plenary talk, the MiniWorkshop: Okounkov Bodies and Applications, Mathematical
Research Institute of Oberwolfach, 25 31 May 2014, Oberwolfach, Germany.
2014 Plenary talk, the International Conference Representations, Dynamics, Combinatorics:
in the Limit and Beyond in honor of the 80th birthday of Anatoly Vershik, St. Petersburg,
9 14 June 2014, Russia.
2014 Plenary talk, the International Conference DFDE2011 Seventh International Conference on
Differential and Functional Differential Equations, Moscow, 26 28 August 2014, Russia.
2014 Plenary talk, the International Conference Applied and Geometrical Analysis, A.Navoi
Samarkand Univ., Samarkand, 22 25 September 2014, Uzbekistan.
2014 Plenary talk, the International Conference Geometry Days in Novosibirsk 2014, dedicated
to 85th anniversary of academician Yu.G.Reshetnyak, S.L.Sobolev Inst. of Math., Novosibirsk,
24 27 September 2014, Russia.
PROFESSIONAL VISITS
19891990 IIASA (International Institute for Applied Systems Analysis), Visiting Fellowship for
three months, Vienna, Austria.
19902004 University of Manchester, talks on the Geometry Seminars. Long term visits: London
Mathematical Society Visiting Lecture Grant (1991, September October); TTT1,
Inaugural meeting and Adams Lectures (1995, June); Royal Society Joint Projects with
Central/Eastern Europe and the Former Soviet Union (1997 1999 for two months).
United Kingdom.
19911992 MPIM (Max Planck Institut fur Mathematik), Bonn, February April (1991),
AprilJuly (1992), Germany.
1992 University of Vienna, Institute fur Statistic and Computer Science, Vienna,
Visiting Professor, October December, Austria.
19932003 University of Edinburgh, Royal Society Kapitza Fellowship, February March (1993),
EPSRC Visiting Fellowship for six months (1994 1996), Royal Society and EPSRC
Grant, September November (1997 1999), LMS Grant, September October (2000),
October November (2001), November (2002), September (2003) , United Kingdom.
19932004 University of Maryland at College Park, Maryland, USA, April May (1993),
February March (1994 2002), March April (2003), April May (2004), USA.
1998 University of Geneva, Dept. of Econometrics, December, Switzerland.
1999 Mathematical Institute of Oberwolfach, The programme on Topology,
September (1999) , Germany.
University of TelAviv, 02 13 January 2000, Israel.
20002002 Newton Institute for Mathematical Sciences, Cambridge:
The programme on Singularity Theory, NovemberDecember (2000),
The programme on Integrable Systems, NovemberDecember (2001),
The programme on Topology, December (2002) , United Kingdom.
2001 University of MilanoBicocca, July 2001, Italy.
2001 Technical University of Berlin, September 2001, Germany.
2002 MaxPlanckInstitut fur Physik komplexer Systeme, Dresden, May 2002, Germany.
2002 The Ohio State University, March 2002, USA.
20022005 University of Bristol, Visiting research fellow, EPSRC Grant for nine months, UK.
2003 Mathematical Institute of Oberwolfach, The programme on Singularity Theory,
September, 2003, Germany.
2005 University of Barcelona, September 2005, Spain.
2006 Heilbronn Institute for Mathematical Research, Bristol, July 2006, United Kingdom.
2006 Scientific visits to Osaka, University of Osaka, May June 2006, Japan.
2007 Scientific visits to University of Podgorica, May 2007, Montenegro.
2007 2008 Scientific visits to Frie University, Amsterdam, 7 9 December 2007;
01 08 November 2008, Holland.
2008 Workshop: Industrial Applications of Low Order models Based on Proper orthogonal
Decomposition (POD) , Bordeaux, 31 March 02 April 2008, France.
2008 Scientific visits: Leeds Leicester Manchester, 09 17 May 2008; Manchester
University, 03 11 July 2008 ; Loughborough, 25 26 November 2008, Great Britain.
2008 Scientific visits: Bordeaux 31 march 02 April 2008; Toulouse, 13 16 November 2008,
France.
2008 Scientific visit to KAIST, Daejeon, 04 14 June, South Korea.
2009 Participation in International Conference Toric Geometry, Mathematical Research
Institute of Oberwolfach, 04 10 January 2009, Oberwolfach, Germany.
2009 Scientific visit to Belgrade, The Serbian Academy of Science and Arts,
Department of Mathematics, 01 10 May 2009, Serbia.
2009 Participation in International(jubilee) Conference Contemporary Problems of
Mathematics, MIAN, Moscow, June 8 10, 2009; POMI, SaintPetersburg, June
11 12 , 2009, Russia.
2009 Scientific visits to MaxPlankInstitut fur Mathematik and The Hausdorff Research
Institute for Mathematics, 14 19 June 2009, Bonn, Germany.
2009 Participation in Workshop Geometric Methods in Physics, Bialowieza, 28 June
04 July, Poland.
2009 Participation in International conference Convex and Discrete Geometry , Vienna,
12 18 July 2009, Austria.
2009 Participation in the Transpennine Topology Triangle, Seventieth Meeting (Joint with
Moscow State University), November 02 03; and International conference Toric
Topology, Manchester, UK, November 02 06, 2009 (Joint Grant of Russian
Foundation for Basic Research with The Royal Society), Great Britain.
2009 Scientific visit to Loughborough, 24 26 November 2009, Great Britain.
2010 Technical University of Berlin, 04 07 February 2010, Germany.
2011 Scientific visit to the Manchester University, 21 February 17 March, Great Britain.
2011 Scientific visit to the Columbia University, New York, 23 April 14 May, USA.
2011 Scientific visit to the Mathematical Research Institute of Oberwolfach, August 22
26, Germany.
2011 Scientific visit to the Osaka University, December 01 10, Japan.
2012 Scientific visit to the University of Lisbon, February 22 March 02, Portugal.
2012 Scientific visit to the University of Oldenburg, April 29 May 09, Germany.
2012 Scientific visit to the University of Manchester, October 21 29, Great Britain.
2012 Scientific visit to the I.Newton Mathematical Institute, Cambridge, October 29
November 24, Great Britain.
2013 Scientific visit to the Centre Interfacultaire, EPFL, Lausanne, October 14
November 14, Switzerland.
2014 Scientific visit to the University of Manchester, March 10 19, Great Britain.
2014 Participation in the MiniWorkshop: Okounkov Bodies and Applications , Math.
Research Institute of Oberwolfach, 25 31 May 2014, Germany.
INVITED LECTURES
19892012 Have spoken at the Universities and the Mathematical Institutes of:
Vienna, Graz in Austria.
Berlin, Bremen, Bonn, Bohum, Dresden, Heidelberg, Oberwolfach, Oldenburg in
Germany.
TelAviv, Haifa in Israel.
Lyon, Paris, Grenoble, Bordeaux, Toulouse in France.
Milan in Italy.
Aberdeen, Bristol, Cambridge, Durham, Glasgow, Edinburgh, Leeds, Leicester, Liverpool, London, Loughborough, Manchester, Oxford, Sheffield, Swansea, Warwick in United Kingdom.
Geneva, Lauzanne in Switzerland.
MIT (Boston), NorthEastern Univ. (Boston), Alabama Univ. at Birmingham, Maryland Univ. at College Park, Columbia Univ. (New York), Ohio State Univ., Rutgers (New Brunswick), J.Hopkins Univ. (Baltimore), Princeton Univ. in USA.
Barcelona Mathematical Institute in Spain.
Frie University of Amsterdam in Holland.
University of Osaka in Japan.
University of Podgorica in Montenegro.
The Serbian Academy of Science and Arts, Department of Mathematics, Belgrade
in Serbia.
The Korea Advanced Institute of Science and Technology, Daejeon in South Korea.
Fudan University, Shanghai in China.
The Group of Mathematical Physics of the University of Lisbon in Portugal.
El Colegio Nacional, Mexico in Mexico.
Tashkent Mathematical Institute; A.Navoi Samarkand University in Uzbekistan.
AREAS OF INTEREST
Theoretical mathematics: algebraic topology; toric topology; formal group theory; multivalued
group theory; functional equations; Abelian functions theory.
Mathematical physics: integrable systems; solitons theory.
Applied mathematics: numerical methods; mathematical modelling; physical tomography.
Applied statistics: timeseries analysis; classification theory and pattern recognition,
multidimensional statistical analysis.
LIST OF THE MOST IMPORTANT SCIENTIFIC RESULTS
Development of Ktheory on the category of infinite cell complexes; the solution of the problem of the infinite filtration elements, which is centrally important for this theory, calculation of the Ktheory of EilenbergMac Lane spaces (with A.S. Mishchenko). These results lay at the basis of the research of many authors in the Ktheory and cobordism theory of infinite complexes and have received a number of important applications.
Construction of the representation spaces of 2(p1)periodic Ktheories for all primes p>2.
Calculations of the differentials in the AtiyahHirzebruch spectral sequence in Ktheory and complex cobordism theory; obtaining the exact order in the wellknown Steenrod problem of realizations of cycles by submanifolds.
Development of the theory of ChernDold characters in cobordism and of the universal Todd genus; an effective description of relations between the Chern characteristic numbers of closed stably complex manifolds and stably complex manifolds with a framing on the boundary.
Introduction of a new filtration in Hopf algebras and of the spectral sequence corresponding to it, becoming known as the Buchstaber spectral sequence.
Discovery of the close link between the Lie algebra of polynomial vector fields and the LandweberNovikov algebra and the Novikov algebra of all cohomological operations in the theory of complex cobordisms. Application to the problem of stable homotopy groups of spheres based on the Buchstaber spectral sequence (with A.V.Shokurov).
Construction of universal characteristic classes of vector bundles based on the development of transfer theory for fibre bundles. Application of Pontryagin universal characteristic classes to the calculation of cobordism rings of stably symplectic and selfdual manifolds. Construction of representatives of these cobordism classes, which have come to be called Buchstaber manifolds.
Deduction of relations in the theory of fixed points of the action of a cyclic group on a manifold; the connection between the fundamental formulas of Atiyah Bott and ConnerFloyd (with S.P.Novikov).
Development of the theory of twovalued groups and its applications (invited lecture at the 1974 ICM).
Development of the topological and algebraic theory of multivalued groups (with E.G.Rees); applications in topology, the theory of multivalued dynamical systems, and combinatorics.
Development of functional equations theory; applications in algebraic topology, the special functions theory, and the integrable systems theory. Solution of the wellknown problem of BoasBuck structures on sequences of polynomials (with A.N. Kholodov). Solution of functional equations which have come to be called BuchstaberPerelomov, Buchstaber and BuchstaberKrichever equations.
Solution of the wellknown problem of relations between the signature of a manifold and the signatures of the submanifolds dual to its Pontryagin classes (with A.P. Veselov).
Development of the sigmafunctions theory on universal spaces of Jacobian varieties of algebraic curves; the effective construction of solutions of several fundamental integrable systems (with D.V. Leykin and V.Z. Enol'skii), addition laws on Jacobian varieties (with D.V. Leykin).
Construction of algebraicdifferential geometry of universal spaces of Jacobian varieties of algebraic curves; applications to the mathematical physics problems (with D.V. Leykin).
Additional theorem for hyperelliptic Jacobians (with D.V. Leykin).
Development of the algebraic functional theory of symmetric products of spaces; the solution of the classical problem of describing the algebraic varieties of polysymmetric polynomials, functional theory of branched coverings (with E.G. Rees).
Development of the deformation theory of groups of mappings into groups; the solution of S.P. Novikov's problem of multiplicative semigroups in operator doubles and the construction of the quantum group of complex cobordisms.
Construction of quasitoric manifolds and discovery that they are dominant o,Yabc) * p q

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h{:CJ6bjects in the complex cobordism theory (with N. Ray).
Development of the momentangle complex theory as the theory of torus actions parameterized by simplicial subdivisions; a complete global description of the cohomology ring of a coordinate subspace arrangement complement (with T.E. Panov).
Combinatorial invariant of simple polytopes and simplicial complexes, which have come to be called Buchstaber numbers.
Development of Toric Topology as a new area of research with interdisciplinary links (with T.E. Panov and N. Ray).
Development of the 2truncated cubes theory; applications in geometry of polytopes and toric topology (with V.Volodin).
In applied mathematics: development of numerical optimisation methods on homogeneous spaces; in applied statistics: methods of automatic classification, the construction of efficient algorithms in pattern recognition.
Solution of several current problems in the tomography of inhomogeneous media and wave fields, and the metrology of complex measuring systems.
Development of effective methods of time series analysis, methods oriented toward the specifics of the data of physical and technical measurements.
Development of the theory of dynamical systems on torus associated to Josephson junction model.
THE SCIENTIFIC SCHOOL
Over 25 Buchstaber's students became PhD. Among them:
O. Mironov (1977), N. Panov, S. Oshanin (1978), E. Antonovskiy (1982),
A. Peresetskii, R. Nadiradze, A. Shokurov, E. Zelenyuk (1986), M. Bakuradze (1989), A. Kholodov, F. Busato (1997), I. Polterovich (1999), T. Panov (1999), K. Feldman (2000), I. Izmestiev (2001), P. Yagodovskii (2002), N. Dobrinskaya (2003), V. Kurlin (2003), S. Shorina (2003), A. Gaifullin (2008),
A. Kustarev (2010), D. Gugnin (2010), A. Fenn (2010), E. Bunkova (2011),
N. Erokhovets (2011), A.Aizenberg (2012) V.Volodin (2013) M.Gorsky (2014)
Yu.Ustinovsky (2014)
From them professors are:
S. Oshanin, I. Polterovich, T. Panov, A. Gaifullin.
PUBLICATIONS
The author of more than 300 research papers and monographs in mathematics, applied mathematics, mathematical physics, and applied statistics (see list of publications).
PAGE 2
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