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Бухштабер Виктор Матвеевич

Отдел геометрии и топологии (главный н.с.)

Комн. 534
Тел: 36 55
Email: buchstab@mi.ras.ru

Основные направления исследований:
топология, теория гомотопий, математическая физика

Victor M. Buchstaber

The Geometry and Topology Department of Steklov Mathematical Institute of Russian Academy of Science, Research Leader ( ul. Gubkina, 8, GSP-1, Moscow, Russia. Office 534.
Phone 36 55)
and
Department of Mathematics and Mechanics, Moscow State University,
119899, Moscow, Russia, Professor

email: buchstab@mendeleevo.ru

Personal
Education
Qualifications
Appointments
SPECIAL SERVICE
Professional Bodies
Some selected Awards
SOME SELECTED HONORABLE INVITED TALKS
Areas of interest
Teaching
Professional Visits
Invited Lectures
Publications

Personal

Born: 1 April 1943, Tashkent, USSR

Citizen of Russian Federation

Married, 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.

Ph.D. Advisers: professor S.P. Novikov and professor D.B. Fuchs.

Qualifications

1966 Diploma in Mathematics, Moscow State University

1970 Ph.D. in Mathematics

Dr. Sc. in Mathematics

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 division

1993 - present The Chair of Higher Geometry and Topology, Department of Mathematics of Moscow State University, Research Leader - Professor

1996 - present The Topology Division of Steklov Mathematical Institute of Russian Academy of Science, Research Leader

SPECIAL SERVICE

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

1995 - present Deputy Editor-in-Chief of "Uspekhi Mat. Nauk"

1995 - present Member of Editorial Board of "Funktsional. Anal. i Prilozhen"

1996 - present Head of the Expert Committee in Mathematics in the Russian Foundation
for Basic Research

1997 - present    Member of Editorial Counsel of ⌠Theory of Probability and Applications■
1998                   Head of the Organizational Committee of the International Conference
                           "Solitons, Geometry and Topology: on the Crossroads", in Honor of the
                          60^th Anniversary of Academician S.P. Novikov
2001-2004         Member of the Executive Council, of the European Mathematical
                           Society

Professional Bodies

╥ The Moscow Mathematical Society
╥ The American Mathematical Society
╥The London Mathematical Society

Some selected Awards

1970 Prize of the Moscow Mathematical Society in 1970 for the contributions to
K-theory and the theory of cobordism.

1994 - 1997 Russian State Scientific Scholarship

1997 - 2000       Russian State Scientific Scholarship
2000                   The cycle of the papers on the Abelian functions theory and its applications
                           to mathematical physics was included into the list of the best papers of
                           Russian Academy of Sciences for 1999 year.
2000 - 2003        Russian State Scientific Scholarship

SOME SELECTED HONORABLE INVITED TALKS
1974       Invited speeker of the International Mathematical Congress, Vancouver, Canada,
               Section of Topology
1995       Adams Memorial lecturer, Manchester

Areas of interest

╥ Theoretical mathematics: algebraic topology; group Lee theory; multivalued groups; functional equations; Abelian functions theory

╥ Mathematical physics: integrable systems; solitons theory

╥ Applied mathematics: numerical methods; mathematical and imitation modeling; physical tomography

╥ Applied statistics: time-series analysis; classification theory and pattern recognition

Teaching

1993 - present The courses "Modern Methods of Algebraic Topology and its
Applications" at the Mechanical Mathematical Department of Moscow
State University

1992 The course of Applied Statistics at University of Vienna, Institute fur
Statistic and Computer Science

1984-1990 The postgraduate courses in Applied Mathematics and Statistics at the National Scientific Institute for Physical-Technical and Radiothechnical Measurements

1968-1972 The courses in Algebraic Topology at the Mechanical Mathematical Department of Moscow State University

Professional Visits
2000           University of Tel-Aviv, Israel
1993-2000 University of Maryland at College Park, Maryland, USA
                  April - May (1993), February - March (1994),
                  February - March (1995), February - March (1996), February - March (1997),
                  February - March (1998), February - March (1999), February - March (2000).
1999          Mathematical Institute of Oberwolfach, Germany
1998          University of Geneva, Dpt. of Econometrics
1997-1999 University of Edinburgh and University of Manchester Royal Society and EPSRC
                   Grant, September-November.

1994-1996 University of Edinburgh, Edinburgh, United Kingdom
                   EPSRC Visiting Fellowship for six months
1993          University of Edinburgh, Edinburgh, United Kingdom
                  Royal Society Kapitza Fellowship
                  February-March

1992 University of Vienna, Institute fur Statistic and Computer Science, Vienna, Austria
October-December

1992 MPIM (Max Planck Institut fur Mathematik), Bonn, Germany, April-July

1991 University of Manchester, London Mathematical Society Visiting Lecture Grant,
Manchester, United Kingdom, September-October

1991 MPIM (Max Planck Institut fur Mathematik), Bonn, Germany
February-April

1989-1990 IIASA (International Institute for Applied Systems Analysis), Vienna, Austria
Visiting Fellowship for three months

Invited Lectures

1989-2000 Have spoken at the Universities and the Mathematical Institutes of

╥ Vienna, Graz in Austria

╥ Bonn, Bohum, Heidelberg,Oberwolfach in Germany

╥ Tel-Aviv, Haifa in Israel

╥ Aberdeen, Glasgow, Edinburgh, Leeds, Liverpool, London, Loughborough, Manchester, Oxford, Swansea, Warwick in United Kingdom

╥ Geneva in Switzerland

╥ MIT (Boston), Alabama University at Birmingham, Maryland University at College Park, Columbia University (New York), Rutgers (New Brunswick), J.Hopkins Univ. (Baltimore) in USA

Publications

Total: 120 publications in leading Russian and international journals.

SOME SELECTED PUBLICATIONS (1995 - 2000)

Title Co-authors

Semigroups of maps into groups, operator doubles, and complex cobordisms. Amer. Math. Soc. Transl., v.170, N2, 1995, pp. 9 - 30

Integrable correspondences and algebraic representation of multivalued groups IMRN, ?8, 1996 ?. Veselov A.P.

On the functional equations related to the quantum three-body problem Contemporary Math. Physics, AMS Trans.,v.175, ser.2,1996 ?. Perelomov A.M.

Multi-dimensional vector addition theorems and the Riemann theta functions IMRN, ? 10, 1996. Krichever I.M.

On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera Mathematische Zeitschrift, 223, 1996, 595-607. Veselov A.P.

Hyperelliptic Kleinian functions and applications Solitons, Geometry and Topology: On the Crossroad , V.M. Buchstaber, S.P. Novikov Editors, AMS Trans., ser.2, v.179, 1997, 1-33. Enolskii V.Z. Leikin D.V.

The general analytic solution of a functional equation of addition type SIAM, J.Math.Anal., v.28, N4, 1997, 903-923. Braden H.W.

Multivalued groups, their representa-tions and Hopf algebras Transformation groups, v.4, Birkhauser-Boston, 1997 Rees E.G.

Kleinian functions, hyperelliptic Jacobians and applications Reviews in Mathematics and Mathematical Physics, I.M.Krichever, S.P. Novikov Editors, Gordon and Breach, v.10, part 2,1997, 3-120. Enolskii V.Z. Leikin D.V.

Integrable systems with pairwise interactions and functional equations Reviews in Mathematics and Mathematical Physics, I.M.Krichever, S.P. Novikov Editors, Gordon and Breach, v.10, part 2,1997, 121-166. Braden H.W.

Multivalued groups, n-Hopf algebras and n-ring homomorphisms Chapter in Lie groups and Lie algebras, Kluwer Academic Publisher, 1998 Rees E.G.

Flag manifolds and the Landweber √ Novikov algebra Geometry and Topology, v.2, 1998, 79-101 Ray N.

Torus actions and combinatorics of polytopes Pros. V.A.Steklov Inst. Math., v. 225 Panov T.

Torus actions determined by simple polytopes "Geometry and Topology: Aarhus" (K. Grove, I. Madsen and E. Pedersen, eds), Contemporary Mathematics 258 AMS, Providence, R.I., 2000, pp 33-46 Panov T.

Title		Co-authors
Semigroups of maps into groups, operator doubles, and complex cobordisms.	Amer. Math. Soc. Transl., v.170, N2, 1995, pp. 9 - 30
Integrable correspondences and algebraic representation of multivalued groups	IMRN, ?8, 1996 ?.	Veselov A.P.
On the functional equations related to the quantum three-body problem	Contemporary Math. Physics, AMS Trans.,v.175, ser.2,1996 ?.	Perelomov A.M.
Multi-dimensional vector addition theorems and the Riemann theta functions	IMRN, ? 10, 1996.	Krichever I.M.
On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera	Mathematische Zeitschrift, 223, 1996, 595-607.	Veselov A.P.
Hyperelliptic Kleinian functions and applications	Solitons, Geometry and Topology: On the Crossroad , V.M. Buchstaber, S.P. Novikov Editors, AMS Trans., ser.2, v.179, 1997, 1-33.	Enolskii V.Z. Leikin D.V.
The general analytic solution of a functional equation of addition type	SIAM, J.Math.Anal., v.28, N4, 1997, 903-923.	Braden H.W.
Multivalued groups, their representa-tions and Hopf algebras	Transformation groups, v.4, Birkhauser-Boston, 1997	Rees E.G.
Kleinian functions, hyperelliptic Jacobians and applications	Reviews in Mathematics and Mathematical Physics, I.M.Krichever, S.P. Novikov Editors, Gordon and Breach, v.10, part 2,1997, 3-120.	Enolskii V.Z. Leikin D.V.
Integrable systems with pairwise interactions and functional equations	Reviews in Mathematics and Mathematical Physics, I.M.Krichever, S.P. Novikov Editors, Gordon and Breach, v.10, part 2,1997, 121-166.	Braden H.W.
Multivalued groups, n-Hopf algebras and n-ring homomorphisms	Chapter in Lie groups and Lie algebras, Kluwer Academic Publisher, 1998	Rees E.G.
Flag manifolds and the Landweber √ Novikov algebra	Geometry and Topology, v.2, 1998, 79-101	Ray N.
Torus actions and combinatorics of polytopes	Pros. V.A.Steklov Inst. Math., v. 225	Panov T.
Torus actions determined by simple polytopes	"Geometry and Topology: Aarhus" (K. Grove, I. Madsen and E. Pedersen, eds), Contemporary Mathematics 258 AMS, Providence, R.I., 2000, pp 33-46	Panov T.