CURRICULUM VITAE - 2014
CONTACT INFORMATION
Surname, First Name Kvaratskhelia Vakhtang
Address
Mukhiani, microdistrict 4B, b. 28. ap. 24, Tbilisi, 0171
Country
Georgia
Telephone
+995322632933
Cell Phone
+995555129750
Email
v.kvaratskhelia@gtu.micm.ge; v_kvaratskhelia@yahoo.com
PERSONAL INFORMATION
Date of Birth
15 July 1950
Place of Birth
Chkhorotsku, Georgian SSR, USSR
Citizenship
Georgian
Gender
Male
Marital Status Married
Children
2
EDUCATION
1966-1971 Student of the Department of Cybernetics Tbilisi State University,
and Applied Mathematics
1971-1974 Post-Graduate Student
Georgian SSR, USSR
Tbilisi State University,
Georgian SSR, USSR
PROFESSIONAL QUALIFICATIONS
1978 PhD Dissertation: “Probabilistic
Distributions in Some Sequence Spaces”
2002 Doctoral Dissertation:“Unconditional
Institute of Mathematics of the Academy of Sciences
of the Ukrainian SSR, USSR
Muskhelishvili Institute of Computational
Convergence of Functional Series
Mathematics of the Georgian Academy of Sciences,
in Problems of Infinite-Dimensional
Georgia
Probability Theory”
EMPLOYMENT HISTORY
Work History
2008-up today
Director of the Muskhelishvili Institute of Computational Mathematics of
the Georgian Technical University
2007-2013
Head of Mathematical Laboratory of the Tbilisi State University
2006-2010
Leading Researcher, Researcher, Senior Researcher of the Muskhelishvili
Institute of Computational Mathematics
2005-2006
Deputy Director, Director of the Muskhelishvili Institute of Computational
Mathematics of the Georgian Academy of Sciences, Leading Researcher
1975-2005
Junior Researcher, Senior Researcher, Leading Researcher, Scientific Secretary of
the Muskhelishvili Institute of Computational Mathematics of the Georgian
Academy of Sciences
Academic Positions
2010-up today
Professor of the Georgian Technical University, Department of
Computational Mathematics
2013-up today
Professor of the Sokhumi State University, Sub-department of
Probability Theory and Mathematical Statistics
2003- 2010; 1973 – 1977
Visiting Professor of the Tbilisi State University
2002-2007
Visiting Professor of the Sokhumi State University
1978-1979
Visiting Professor of the Georgian Politechnical Institute
2
AWARDS
2003 Niko Muskhelishvili Prize of the Georgian Academy of Sciences
2013 Order of Honor - Georgian State award
PUBLICATIONS
Books
1 The Basics of the Algorithm Theory. Publishing House “Technical University”, Tbilisi, 2013, in
Georgian (co-authors: T. Davitashvili, H. Meladze, M. Menteshashvili, Z. Tsveraidze).
Papers
1
Gaussian measures in some Banach spaces. Bulletin Acad. Sci. Georgian SSR, 75, 3, 1974, 533-536,
in Russian.
2
On convergence of series of Gaussian random elements. Bulletin Acad. Sci. Georgian SSR, 76, 1,
1974, 41-44, in Russian.
3
The central limit theorem in the spaces l p X ( 1  p  2) . Bulletin Acad. Sci. Georgian SSR, 81, 3,
1976, 533-536, in Russian (co-author Nguen Dui Tien).
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The central limit theorem and the strong law of large numbers in the spaces l p X , 1  p   .
Theory Probab. Appl., 21, 4, 1977, 780-790 (co-author Nguen Dui Tien).
5
Unconditional convergence of the Gaussian series. Proceedings of Computing Center of the
Georgian SSR, 18, 2, 1978, 71-79, in Russian.
6
On unconditional convergence in a Banach space. Bulletin Acad. Sci. Georgian SSR, 90, 3, 1978,
533-536, in Russian.
7
A note to the definition of the Gaussian random processes. Proceedings of Computing Center of the
Georgian SSR, 19, 2, 1979, 5-7, in Russian (co-author N.P. Kandelaki).
8
On unconditional convergence of random series in Banach spaces. Lecture Notes in Mathematics,
828, 1980, 162-166.
9
Absolute and unconditional convergence in l1 . Bull. Georgian Acad. Sci., 160, 2, 1999, 201-203
(co-author N. Vakhania).
10 Unconditional convergence of Gaussian random series in Banach spaces. Theory Probab. Appl., 45,
1, 2000, 147-152.
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11 Unconditional convergence of random series and Geometry of Banach spaces. Georgian Math. J., 7,
1, 2000, 85-96.
12 The structure of summable sequences and p-summing operators. Demonstratio Math., 33, 2, 2000,
379-87 (co-author V. Tarieladze).
13 The analogue of the coefficient of correlation in Banach spaces. Bull. Georgian Acad. Sci., 161, 3,
2000, 377-379.
14 Linear approximation of random elements in Banach spaces. Bull. Georgian Acad. Sci., 162, 2,
2000, 203-205.
15 On a criterion for unconditional convergence of Hadamard series in the spaces l p ,1  p   . Bull.
Georgian Acad. Sci., 162, 2, 2000, 199-202 (co-author N. Vakhania).
16 Convergence of Sylvester series in Banach space l p ,1  p   . Bull. Georgian Acad. Sci., 164, 1,
2001, 7-9 (co-author N. Vakhania).
17 Some inequalities related with Hadamard and Sylvester matrices. Bull. Georgian Acad. Sci., 164, 1,
2001, 10-13.
18 Some inequalities related to Hadamard matrices. Funct. Anal. Appl., 36, 1, 2002, 68-70.
19 A numerical characteristic of the Sylvester matrix. Discrete Math. Appl., 11, 5, 2001, 501- 506.
20 An Application of the Brunel-Sucheston Spreading Model. Bull. Georgian Acad. Sci., 165, 3, 2002,
453-457 (co-author N. Vakhania).
21 On a method of finding of sign invariant pair of elements in normed spaces. Bull. Georgian Acad.
Sci., 168, 3, 2003, 423-425 (co-authors G. Chelidze and K. Ninidze).
22 Weakly Sub-gaussian random elements and Banach spaces with finite cotype. Bull. Georgian Acad.
Sci., 171, 2, 2005, 221-224 (co-author N. Vakhania).
23 On inequalities between moments of normed measures. Bull. Georgian Acad. Sci., 172, 2, 2005,
173-175 (co-author N. Vakhania).
24 Weakly Sub-Gaussian Random Elements in Banach Spaces. Ukrainian Mathematical Journal, 57, 9,
2005, 1387-1412 (co-authors: N. Vakhania and V. Tarieladze).
25 Unconditional Convergence of Weakly Sub-Gaussian Series in Banach Spaces. Theory Probab.
Appl., 51, 2, 2007, 305-324 (co-author N. Vakhania).
26 On unconditional convergence in Banach spaces with unconditional basis. Bull. Georgian National
Acad. Sci., 3, 1, 2009, 10-14 (co-author N. Vakhania).
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27 Greedy Algorithm Fails in Compact Vector Summation. Bull. Georgian National Acad. Sci., 4, 2,
2010, 5-7 (co-authors: G. Chelidze, S. Chobanyan and G. Giorgobiani).
28 A note on the rearrangement theorem in a Banach space. In “Information and Computer
Technologies – Theory and Practice: Proceedings of the International Scientific Conference ICTMC2010 Devoted to the 80th Anniversary of I.V. Prangishvili, 531-535, Nova Publishers, 2012” (coauthors: S. Chobanyan, G. Giorgobiani and V. Tarieladze).
29 On an integral inequality. In “Information and Computer Technologies – Theory and Practice:
Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80th
Anniversary of I.V. Prangishvili, 567-570, Nova Publishers, 2012” (co-authors: R. Denchev and N.
Vakhania).
30 Professor David Kveselava. Proceedings of A. Razmadze Mathematical Institute, 160, 2012, 1-9 (coauthor N. Vakhania).
31 Denjoy-Luzin systems, absolute convergence systems and unconditional convergence in Banach
spaces. In “Several Problems of Applied Mathematics and Mechanics. Nova Science Publishers;
Mathematics Research Developments, Editors: I. Gorgidze and T. Lominadze, 2013, p. 81-92” (coauthor V. Tarieladze).
32 An application of Sylvester matrices. Journal of Mathematical Sciences, 195, 4, December 2013,
487-495 (co-author N. Vakhania).
33 Diagonally canonical and related Gaussian random elements. Theory Probab. Appl., 58, 2, 2014,
286-296 (co-author V. Tarieladze).
34 An algorithmic solution to the problem of compact vector summation with an application to
scheduling theory. 9th International Conference on Computer Science and Information Technologies
(CSIT-2013), September 23-27, 2013, Yerevan, Armenia. Proceedings, p. 58-60 (co-author L.
Chobanyan).
35 Unconditional convergence of functional series in problems of probability theory. Journal of
Mathematical Sciences, 200, 2, July 2014, 143-294.
36 On rearrangement theorems in Banach spaces. Georgian Math. Journal, 2014, accepted (co-authors:
S. Chobanyan, G. Giorgobiani, S. Levental, V. Tarieladze)
5
GRANTS
2014-2017
Shota Rustaveli National Science Foundation, grant # FR/539/5-100/13
2014-2014
FP7-MC-IRSES; Marie Curie Actions – International Research Staff Exchange
Scheme. Project # 317721, # 318202,
2010-2012
FP7 Capacities Work programme 2010; Activity 7.6. Area INCO.2010-6.1: Eastern Europe
and South Caucasus. Project # 266155
2010-2012
Shota Rustaveli National Science Foundation, grant # GNSF/ST09_99_3-104
2006-2008
Georgian National Science Foundation, grant # GNSF/ST06/3-009
2005-2006
Georgian Research and Development Foundation (GRDF), grant # GEM1-3328-TB-03
PROFESSIONAL MEMBERSHIPS
Member of the Georgian Mathematical Union (GMU) and member of GMU council
Member of the Georgian Statistical Society
Member of the American Mathematical Society
Reviewer of the refereed journal “Zentralblatt fur Mathematiks”
Member of the Editorial Board of the journal “Reports of Enlarged Session of the Seminar of I. Vekua
Institute of Applied Mathematics”
LANGUAGES
Georgian native
Russian
fluent
Polish
fluent
English
intermediate
6