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**Email:** __buchstab@mi.ras.ru__

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**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**

Born: 1 April 1943, Tashkent, *USSR*

Citizen of *Russian Federation*

Married, two children, born 1967 and 1972

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.

1966 Diploma in Mathematics, Moscow State University

1970 Ph.D. in Mathematics

- Dr. Sc. in Mathematics

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

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

** **

· The American Mathematical Society

·The London Mathematical Society

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

· 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

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

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

· Bonn, Bohum, Heidelberg,Oberwolfach in
*Germany*

· Tel-Aviv, Haifa in *Israel*

· 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*

** **

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. |