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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
1960-1964 Tashkent State University, Mechanical Mathematical Department

1964-1966 Moscow State University, Mechanical Mathematical Department

1966-1969 Postgraduate study at Moscow State University.

QUALIFICATION

1967 Diploma in Mathematics, Moscow State University

Thesis: "On the J-functor of cell complexes"

Advisors: Professors S.P.Novikov and D.B.Fuks.

1970. Ph.D. in Mathematics

Thesis: "Cohomology operations in generalized cohomology
theories"

Advisors: Professors S.P.Novikov and
D.B.Fuks.

1984. Dr. Sc. in Mathematics.
Thesis: "Two-valued formal groups. Algebraic theory and
topological
applications."

2006 Corresponding Member of the Russian Academy of
Sciences


APPOINTMENTS

1969-1979 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 part-time position)


1993 - present The Chair of Higher Geometry and Topology,
Department of Mathematics of Moscow
State University, Professor (part-time
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 (part-time 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 (part-time
position)

SCIENTIFIC-ORGANIZATIONAL RESPONSIBILITIES

1994 - 2010 Member of the Manager Council of the Moscow
Mathematical Society

2010 - present Vice-president of the Moscow Mathematical
Society

1995 - present Deputy Editor-in-Chief 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"

1998. 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 Russian-
French Laboratory for
Mathematics, Informatics and
Mathematical Physics (Russian Academy of
Sciences, Independent University of
Moscow and Centre National de la
Recherche Scientifique)

2002. 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 100-th
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 200-th 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 70-
th anniversary


оf academician Sergey P.Novikov, Moscow, June 3,
2008.


2008. Member of the Organizing and Scientific Committee of
the International Conference
"Differential Equations and Topology"
dedicated to the 100-th anniversary of
L. S. Pontryagin, Chairman of the
section "Geometry and Topology", Moscow,
June 17 - 22 , 2008.

2009 - present Vice-chairman of the Expert Committee in
Mathematics, Mechanics and Informatics
in the Russian Foundation for Basic
Research.

2009 - 2010 Vice-chairman of the Expert Committee "Fundamental
Problems of Theoretical
Mathematics", administrative department
for interdisciplinary aligned basic
research in the Russian Foundation for
Basic Research.

2009. Member of the Organizing Committee of the
International (jubilee) Conference
"Contemporary Problems of Mathematics",
MIAN, Moscow, June 8 - 10, 2009;
POMI, Saint-Petersburg, 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),
Saint-Petersburg, Russia, 11-16 January,
2010.


2010 - present Member of the "Dynasty" Contest Jury.


2010 Vice-chairman 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 Vice-chairman 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 Vice-chairman 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 DFDE-2011
"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 Vice-chairman of the Organizing Committee of the Conference
"Novikov's Day",
dedicated to the 75-th anniversary оf 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 Vice-chairman of the Second international conference "Jacobi
2013" "High-Performance
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 DFDE-2014
"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 Physical-Technical 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 K-theory

and the theory of cobordism.

1994 - 2003 Russian State Scientific Scholarship

2000. 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 2-truncated 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

1974. Invited speaker at the International Mathematical Congress,
Vancouver, Canada, Section of

Topology.

1995. Adams Memorial lecturer, Manchester, UK.
1999. Speaker at the programme "Topology", Oberwolfach, Germany.
2000. Speaker at the programme "Singularity Theory", Newton
Institute for Mathematical Sciences,

Cambridge, UK.


2001 Joint Brandeis-Harvard-MIT-Northestern 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", Max-Plank-Institut 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, Saint-Petersburg, Russia), January 11-16, 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, New-York,
May 03 - 07, 2011, USA.
2011 Invited talk, Algebraic Topology Seminar, Princeton, April 28,
2011, USA.
2011 Plenary talk, the International Conference DFDE-2011 "Sixth
International Conference
on Differential and Functional Differential Equations", MIAN,
August 14-21, 2011, Russia.
2011 Plenary talk, the Mini-Workshop: "New Developments in Newton-
Okounkov 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 Mini-course, 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 "Novikov's Day",
dedicated to the 75th
anniversary of the birthday of Sergey Novikov, Moscow, 17 June
2013, Russia.
2013 Plenary talk, the International Open Chinese-Russian Conference
"Torus Actions:
Topology, Geometry and Number Theory", Khabarovsk, 02 - 07
September, Russia.
2013 Plenary talk, the International Conference to Celebrate Sam Gitler's
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 I'UMPA, 08
November 2013, France.
2014 Plenary talk, the International Conference "Toric Topology -
2014", Osaka,
21 - 24 January, Japan.
2014 Plenary talk, the Mini-Workshop: "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 DFDE-2011
"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
1989-1990 IIASA (International Institute for Applied Systems
Analysis), Visiting Fellowship for
three months, Vienna, Austria.
1990-2004 University of Manchester, talks on the Geometry Seminars.
Long term visits: London
Mathematical Society Visiting Lecture Grant (1991,
September - October); TTT-1,
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.
1991-1992 MPIM (Max Planck Institut fur Mathematik), Bonn, February -
April (1991),
April-July (1992), Germany.
1992 University of Vienna, Institute fur Statistic and
Computer Science, Vienna,
Visiting Professor, October - December, Austria.
1993-2003 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.
1993-2004 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.
2000. University of Tel-Aviv, 02 -13 January 2000, Israel.

2000-2002 Newton Institute for Mathematical Sciences, Cambridge:
The programme on Singularity Theory, November-
December (2000),
The programme on Integrable Systems, November-
December (2001),
The programme on Topology, December (2002) , United
Kingdom.
2001 University of Milano-Bicocca, July 2001, Italy.
2001 Technical University of Berlin, September 2001, Germany.
2002 Max-Planck-Institut fur Physik komplexer Systeme,
Dresden, May 2002, Germany.
2002 The Ohio State University, March 2002, USA.
2002-2005 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,
Saint-Petersburg, June
11 - 12 , 2009, Russia.
2009 Scientific visits to Max-Plank-Institut 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 Mini-Workshop: "Okounkov Bodies and
Applications", Math.
Research Institute of Oberwolfach, 25 - 31 May 2014,
Germany.

INVITED LECTURES
1989-2012 Have spoken at the Universities and the Mathematical
Institutes of:
. Vienna, Graz in Austria.
. Berlin, Bremen, Bonn, Bohum, Dresden, Heidelberg,
Oberwolfach, Oldenburg in
Germany.
. Tel-Aviv, 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), North-Eastern 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: time-series analysis; classification theory
and pattern recognition,
multidimensional statistical analysis.


LIST OF THE MOST IMPORTANT SCIENTIFIC RESULTS

1. Development of K-theory 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 K-theory of
Eilenberg-Mac Lane spaces (with A.S. Mishchenko). These results lay at
the basis of the research of many authors in the K-theory and
cobordism theory of infinite complexes and have received a number of
important applications.
2. Construction of the representation spaces of 2(p-1)-periodic K-
theories for all primes p>2.
3. Calculations of the differentials in the Atiyah-Hirzebruch spectral
sequence in K-theory and complex cobordism theory; obtaining the exact
order in the well-known Steenrod problem of realizations of cycles by
submanifolds.
4. Development of the theory of Chern-Dold 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.
5. Introduction of a new filtration in Hopf algebras and of the spectral
sequence corresponding to it, becoming known as the Buchstaber
spectral sequence.
6. Discovery of the close link between the Lie algebra of polynomial
vector fields and the Landweber-Novikov 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).
7. 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 self-dual
manifolds. Construction of representatives of these cobordism classes,
which have come to be called Buchstaber manifolds.
8. 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 Conner-Floyd (with S.P.Novikov).
9. Development of the theory of two-valued groups and its applications
(invited lecture at the 1974 ICM).
10. 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.
11. Development of functional equations theory; applications in algebraic
topology, the special functions theory, and the integrable systems
theory. Solution of the well-known problem of Boas-Buck structures on
sequences of polynomials (with A.N. Kholodov). Solution of functional
equations which have come to be called Buchstaber-Perelomov,
Buchstaber and Buchstaber-Krichever equations.
12. Solution of the well-known problem of relations between the signature
of a manifold and the signatures of the submanifolds dual to its
Pontryagin classes (with A.P. Veselov).
13. Development of the sigma-functions 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).
14. Construction of algebraic-differential geometry of universal spaces
of Jacobian varieties of algebraic curves; applications to the
mathematical physics problems (with D.V. Leykin).
15. Additional theorem for hyperelliptic Jacobians (with D.V. Leykin).
16. 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).
17. 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.
18. Construction of quasitoric manifolds and discovery that they are
dominant objects in the complex cobordism theory (with N. Ray).
19. Development of the moment-angle 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).
20. Combinatorial invariant of simple polytopes and simplicial complexes,
which have come to be called Buchstaber numbers.
21. Development of Toric Topology as a new area of research with
interdisciplinary links (with T.E. Panov and N. Ray).
22. Development of the 2-truncated cubes theory; applications in geometry
of polytopes and toric topology (with V.Volodin).
23. 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.
24. Solution of several current problems in the tomography of
inhomogeneous media and wave fields, and the metrology of complex
measuring systems.
25. Development of effective methods of time series analysis, methods
oriented toward the specifics of the data of physical and technical
measurements.
26. 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).