CURRICULUM VITAE
S.S. Kutateladze at the
Sobolev Centennial on October 6, 2008
Born
- at St. Petersburg (Leningrad) on October 2, 1945
Graduated Cum Laude from
- Novosibirsk State University,
the department of computational mathematics
in 1968
Degrees
- PhD in 1970 from the United Scientific
Council of the Siberian Division of
the Academy of Sciences
for the thesis
“Related Topics of Geometry and Mathematical Programming”
- ScD in 1978 from
St. Petersburg State University
for the thesis
“Linear Problems of Convex Analysis”
S.L. Sobolev and S.S. Kutateladze on September 14, 1979
Positions
- Sobolev Institute of Mathematics of the
Siberian Division of the RAS
- 1968–1970 postgraduate
- 1970–1976 junior scientist
- 1976–1986 senior scientist
- 1986–2006 head of the
laboratory of functional analysis
- 2006– by now chief scientist
- Novosibirsk State University
- 1968–1970 instructor
- 1970–1976 assistant professor
- 1976–1980 associate professor
- 1980–by now professor,
vice-chair of the department of mathematical analysis
Yu.G. Reshetnyak, S.M. Alexandrova, A.D. Alexandrov, and
S.S. Kutateladze
on November 14, 1989
Main Areas of Research
Main Results
- Tools for the parametrization and explicit solution
in
Alexandrov surface area measures
of the isoperimetric-type problems of convex geometry
with arbitrary constraints on the mixed volumes and location of
the solid to find.
-
The new class of geometrical extremal problems
is distinquished in which it is required to achieve the best result
in the presence of conflicting goals.
These problems are addressed along the lines of multiple criteria
decision making.
- The basics of abstract convexity through the
Minkowski duality
in lattice-theoretic setting. The theory of supremal generators and
Choquet boundaries
in
Dedekind complete vector lattices also known as
Kantorovich
spaces.
- General rules of subdifferential calculus for convex operators:
explicit formulas for recalculating the solutions and values
of convex extremal problems under convex changes-of-variable
and the technique of approximate and infinitesimal solutions.
- Complete description, of relevance to mathematical economics,
for the abstract modules over rings which
enjoy the principles of linear programming or separation theory.
The first and most popular concept of ε-efficient solution for
multiple criteria extremal programs.
- Classification of the tangent cones of nonsmooth analysis
(stemming from Bouligand,
,
Hadamard, et al.)
in terms of monadic quantifier prefixes.
- Combined nonstandard methods
that rest on interplay between the
Robinsonian infinitesimal and
Boolean valued versions
of analysis.
- Some “Boolean valued” technique
that leads to description of an order bounded operator
whose every layer has kernel a sublattice or
a
Grothendieck subspace. The techique also yields
the first operator versions of the classical
Farkas lemma in the theory of simultaneous inequalities.
Main Monographs
-
Minkowski Duality and Its Applications.
Nauka Publishers (1976) (with A.M. Rubinov)
- Ordered Vector Spaces.
Nauka Publishers (1978) (with
G.P. Akilov)
-
Fundamentals of Functional Analysis.
Nauka Publishers, 1983;
Sobolev Institute Press (1995, 2000, 2001, 2006);
Kluwer Academic Publishers (1996).
Table of Contents and Preface in Adobe Acrobat (PDF) Format
EMIS Electronic Library [in Russian]
-
Subdifferentials: Theory and Applications.
Nauka Publishers (1992);
Kluwer Academic Publishers (1995);
Sobolev Institute Press (2002–2003)
(with A.G. Kusraev)
Table of Contents and Preface in Adobe Acrobat (PDF) Format
-
Nonstandard Methods of Analysis.
Nauka Publishers (1990);
Kluwer Academic Publishers (1994)
(with A.G. Kusraev)
-
Vector Lattices and Integral Operators.
Nauka Publishers (1992);
Kluwer Academic Publishers (1996)
(with A.V. Bukhvalov et al.)
Table of Contents and Preface in Adobe Acrobat (PDF) Format
-
Russian→English in Writing: Advice to the Occasional Translator.
Individual Publishers (1993);
Yakutsk University Press (1994);
Sobolev Institute Press (1997, 2000, 2003, 2005, 2007);
EMIS Electronic Library;
The book in Adobe Acrobat (PDF) Format
The book in HTML at VIVOS VOCO
-
Boolean Valued Analysis.
Sobolev Institute Press (1999, 2003);
Kluwer Academic Publishers (1999)
(with A.G. Kusraev)
Table of Contents and Preface in Adobe Acrobat (PDF) Format
-
Nonstandard Analysis and Vector Lattices.
Sobolev Institute Press (1999, 2005);
Kluwer Academic Publishers (2000)
(with A.E. Gutman et al.)
Table of Contents and Preface in Adobe Acrobat (PDF) Format
-
Infinitesimal Analysis
Sobolev Institute Press
(2001, 2006);
Kluwer Academic Publishers (2002)
(with
E.I. Gordon and
A.G. Kusraev)
Table of Contents and Preface in Adobe Acrobat (PDF) Format
-
Leonid Vital'evich Kantorovich as Scholar and Person.
Publishing House of the Siberian Division of the RAS, Affiliation “Geo”,
Vol. 1, 2002, 443 p.;
Vol. 2, 2004, 614 p.
(with
and
Ya.I. Fet)
-
Introduction to Boolean Valued Analysis.
Nauka Publishers (2005), 529 p.
(with A.G. Kusraev)
-
Subdifferential Calculus: Theory and Applications.
Nauka Publishers (2007), 560 p.
(with A.G. Kusraev)
-
Infinitesimal Analysis: Selected Topics.
Nauka Publishers (2009), 400 p.
(with E.I. Gordon and
A.G. Kusraev)
-
Science and Its People.
South Mathematical Institute Press (2010), 364 p.
Main Surveys
-
The Minkowski Duality and Its Applications.
Russian Math. Surveys. 1972, Vol. 27, No. 3, 137–191
(with
A.M. Rubinov).
-
Choquet Boundaries in K-Spaces.
Russian Math. Surveys. 1975, Vol. 30, No. 4, 115–155.
-
Convex Operators.
Russian Math. Surveys, 1979, Vol. 34, No. 1, 181–214.
-
Local Convex Analysis.
Journal Sov. Math. 1984, Vol. 26, No. 4, 2048–2087
(with
A.G. Kusraev).
-
Credenda of Nonstandard Analysis.
Siberian Advances in Mathematics. 1991, Vol. 1, No. 1, 109–137.
-
Nonstandard Methods for Kantorovich Spaces.
Siberian Advances in Mathematics. 1992, Vol. 2,
No. 2, 114–152
(with A.G. Kusraev).
- Boolean-Valued Introduction to the Theory of Vector
Lattices.
In:
Third Siberian School: Algebra and Analysis.
Amer. Math. Soc., 1995, 103–128
(with
A.G. Kusraev).
-
Nonstandard Tools for Convex Analysis.
Mathematica
Japonica.1996, Vol. 43,
No. 2, 391–410.
-
Parametrization of Isoperimetric-Type Problems in Convex Geometry.
Siberian Advances in Mathematics. 1999, Vol. 9,
No 3, 115–131.
-
Boolean Methods in the Theory of Vector Lattices.
In: Studies in Functional Analysis and Its Applications.
Nauka Publishers, 2006, 114–154
(with A.G. Kusraev).
-
What is Boolean Valued Analysis?
Siberian Advances in Mathematics. 2007, Vol. 17, No. 2,
91–111.
-
Boolean Methods in Positivity.
Journal of Applied and Industrial Mathematics. 2008, Vol. 2,
No. 1, 81–99
(with A.G. Kusraev).
-
Harpedonaptae and Abstract Convexity.
Journal of Applied and Industrial Mathematics. 2008, Vol. 2,
No. 2, 215–221.
-
Domination, Discretization, and Scalarization.
Journal of Applied and Industrial Mathematics. 2009,
Vol. 3, No. 1, 96–106.
The orginal versions of the articles published by Springer-Verlag
are available at
www.springer.com .
Public Duties
- Journal of Applied and Industrial Mathematics, editor of the English translation
- Siberian Advances in Mathematics, associate editor
- Siberian Journal for Industrial Mathematics, associate editor
- Siberian Mathematical Journal, associate editor
- Herald of the Vladikavkaz Scientific Center, member of the editorial board
- Mathematical Notes, member of the editorial board
- Mathematical Proceedings, member of the editorial board
- Positivity, member of the editorial board
- Scientiae Mathematicae Japonicae, member of the editorial board
- Vladikavkaz Mathematical Journal, member of the editorial board
- Science First Hand, member of the editorial council
Addresses
- Home:
- 9 Zolotodolinskaya Street, Ap. 14
- Novosibirsk, 630090
- Russia
- Office:
- 4 Academician Koptyug Avenue, Room 315
- Novosibirsk, 630090
- RUSSIA
Telephone Numbers
- Mobile: +7 9139851930
- Home: (+7383)3333605
- Office: (+7383)3634515
- Fax: (+7383)3332598
E-mail
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