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Curriculum
Vitae |
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Personal information |
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First name(s) / Surname(s) |
Tamar
Datuashvili |
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Address(es) |
Andria
Razmadze Mathematical Institute at the
Ivane Javakhishvili Tbilisi state University, Tamarashvili str. No.6, 0177, Tbilisi
, Georgia |
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Phone(s) |
(995 32)
222 64 04 |
Mobile: (995) 595 336404 |
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E-mail |
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tata |
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Nationality |
Georgian |
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Date of Birth |
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Gender |
Female |
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Research/Work Experience |
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Dates |
From
2018 February |
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Name of Institution/Company, City and Country |
Andria Razmadze
Mathematical Institute at the Ivane Javakhishvili Tbilisi State University,
Tbilisi, Georgia |
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Name of
Institute/Department |
Department of
Algebra |
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Position
Held |
Chief Researcher |
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Dates |
1990 -2018 February |
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Name of
Institution/Company, City and Country |
:Andria Razmadze
Mathematical Institute of the Georgian Academy of Sciences, Tbilisi, Since
2011 January Andria Razmadze Mathematical Institute at the Ivane Javakhishvili
Tbilisi State University, Tbilisi, Georgia |
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Name of
Institute/Department |
: Department of Algebra |
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Position
Held |
Senior
Scientist |
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Main
Activities and Responsibilities |
Scientific research work
in the field of Algebra (Homological
algebra,, Category theory, Homotopical algebra, Nonassociative algebras),
publishing papers, giving talks on the
regular seminars in Algebra, on the domestic and international conferences,
Secretary of the Department of Algebra at the Mathematical Institute, during
years a member of the Professional Union Committee at the same institute (head
of the Section of Culture). Coorganiser
of the International conference
on Homology Theories, K-Theory and Homotopy Theory,
2000, Tbilisi (Georgia). Work with research students. Cooperative scientific works with foreign
mathematicians Prof. Dr. of Frankfurt University F.W. Bauer (Germany), Prof. of Santiago
University M. Ladra (Spain), Prof. of Vigo University J.M. Casas, (Spain) and
Dr. of Eskisehir Osmangazi University
E. Uslu (Turkey), also with Georgian mathematician Reader
of Leicester University T. Pirashvili
(UK) (see the List of Publications). Solution of two problems stated by J.-L. Loday (see the corresponding papers 23 and 24 in the List of Publications ) Present research area: Cohomology of
algebras, Lie and Leibniz algebras, Noncommutative Poisson algebras, Actors
in categories of Interest, Categorical groups, self acting groups. Defence of Doctoral Dissertation (Great Doctoral) at Tbilisi State University
2006. Stays in internationally recognized centers as a Visiting Professor Principle Investigator of the project “Homological,
Homotopical and Categorical Properties of Algebras and Their Varieties“,
Funded be Shota Rustaveli National Science Foundation, 2010-2012. |
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Dates |
From 1999 To 2006 |
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Position
Held |
Invited Professor |
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Name of
Institution/Company, City and Country |
Ivane Javakhishvili
Tbilisi State University, |
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Name of
Institute/Department |
Faculty of Mechanics and
Mathematics |
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Main
Activities and Responsibilities |
Lecturing (giving special courses ) for Bacalavr (equivalently, Bachelor) students and Magistrants in Category Theory, an adviser and
a referee of Diploma works (equivalent of Master degree thesis) and
student research works at the same faculty. |
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Career
Breaks |
No career
breaks |
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Dates |
From 1986
To 1990 |
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Name of
Institution/Company, City and Country |
Georgian Academy
of Sciences, Tbilisi |
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Name of
Institute/Department |
Andria Razmadze
Mathematical Institute , Department of Algebra and Topology |
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Position
Held |
Scientist |
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Main
Activities and Responsibilities |
Scientific
research work in the field of Algebra,
publishing papers, giving talks
on the seminars in Algebra, on the domestic and international conferences, a
talk on the Seminar in Algebra and Topology dedicated to the S. Mac Lane’s
visit to Tbilisi, 1987. Topic: Global homological dimension of stable
extensions of locally noetherian Grothendieck categories – the solution of
the problem of I.Palmer and J.-E. Roos,
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Dates |
From 1981
To1986 |
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Name of
Institution/Company, City and Country |
Georgian Academy
of Sciences, Tbilisi |
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Name of
Institute/Department |
Andria Razmadze
Mathematical Institute , Department of Algebra and Topology |
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Position
Held |
Junior
Scientist |
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Main
Activities and Responsibilities |
Scientific research work in the field of
Algebra, publishing papers, giving talks on the regular
seminars in Algebra, on the domestic conferences, a talk on the seminar
in Algebra at the M. Lomonosov Moscow State University, 1981 (Russia), host
professor: A.V. Mikhalev, topic: On the homological dimension of rings and
categories; Defence of Ph.D. dissertation (Candidate of Physical
and Mathematical Sciences) at St. Petersburg University 1982 (Russia) . |
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Dates |
From 1976
To 1980 |
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Name of
Institution/Company, City and Country |
Georgian Academy
of Sciencies, Tbilisi |
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Name of
Institute/Department |
Andria Razmadze
Mathematical Institute , Department of Algebra and Topology |
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Position
Held |
Research
Studentship |
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Main
Activities and Responsibilities |
Passing exams in Mathematics (Mathematical Logic, Algebra and Number
Theory, Speciality), Philosophy and English. Preparation of
Candidate (equivalently, Doctoral)
dissertation, solution of two
problems stated by I. Palmer and J.-E. Roos (see the corresponding papers 5, 6, 9. and 13 in the List of Publications
) Publishing papers, giving talks on the regular Algebra department
seminars, on the domestic and All-Union Conferences, Invited Teacher at Ivane Javakhishvili Tbilisi State
University, Faculty of Mechanics and Mathematics, subject - Analitical Geometry. |
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Overseas
Experience |
Stays
in Internationally Recognized Centers as a Visiting Professor 10/93-11/93: University of Frankfurt, Germany (Prof. Dr. F.W. Bauer, DAAD Fellowship). 04/95-05/95: School of Mathematics, North Wales University, Bangor, UK (Prof. R. Brown, INTAS program). 05/95-08/95: Tours University, France, (Prof. P. Damphousse). 08/99: Strasbourg University, France, (Prof. J.-L. Loday). 12/00-04/01: University of Frankfurt, Germany (Prof. Dr. F.W.Bauer, DAAD Fellowship, DFG grant). 03/2001: Strasbourg University, France, (Prof. J.-L. Loday). 04/02-07/02: Catholic University of Louvain, Belgium, (Prof. Fr. Borceux). 07/03-09/03: University of Frankfurt,
Germany (Prof. Dr. F.W. Bauer, DFG grant). 2004 -20013: From 1 to 3 month visits per year to the University of Vigo at Pontevedra, Spain (Prof. J.-M. Casas). 2005 -20013: From 1 to 4 month visits per year to the University of Santiago de Compostela, Spain (Prof. M. Ladra). 07/09: Erciyes University, Turkey (Prof. O. Mucuk). 08/2012: Erciyes University, Turkey (Prof. O. Mucuk). 04/2014-06/2014: Osmangazi
University, Eskisehir, Turkey (Prof. E.O. Uslu) |
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The
total amount of time spent on research |
42 years
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Academic Profile and Fellowship Period |
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Date |
30 January
2012 |
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Title of
qualification awarded |
Approval
of Validation of Doctor Title |
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Name of
Institution, /City and Country |
Santiago
de Compostela University, Spain |
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Names of
Department and Faculty |
Department
of Algebra, Faculty of Mathemtics |
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Title of
the dissertation |
Categorical,
Homological and Homotopical Properties of Algebraic Objects |
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Date |
23 June
2006 |
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Title of
qualification awarded |
Doctor
of Sciences Physics and Mathematics |
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Name of
Institution, /City and Country |
Ivane
Javakhishvili Tbilisi State University, Georgia |
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Name of
Faculty |
Mathematics
Faculty |
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Research
area(s) |
Mathematical
Logic , Algebra and Number Theory |
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Title of
the dissertation |
Categorical,
Homological and Homotopical Properties of Algebraic Objects |
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Thesis/dissertation
advisor(s) |
No advisor |
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Date |
13 May
1982 |
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Title of
qualification awarded |
Candidate
of Physical and Mathematical Sciences (equivalently, Ph. D.) |
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Name of
Institution, /City and Country |
St.
Petersburg (formerly Leningrad) State University, Russia (formerly Soviet
Union) |
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Name of
Faculty |
Mathematics
Faculty |
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Research
area(s) |
Mathematical
Logic , Algebra and Number Theory |
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Title of
the dissertation |
On the
Homological Dimension of Rings and Categories |
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Dissertation
advisor |
Academician
( at that period Doctor
Professor) H.
Inassaridze |
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Dates |
From 1976 To1980 |
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Title of
qualification awarded |
Aspirantura
(Research Studentship) |
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Name of
Institution, /City and Country |
A. Razmadze Mathematical Institute of the Georgian Academy of
Sciences, Tbilisi, Georgia |
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Research
area(s) |
Mathematical
Logic , algebra and Number Theory |
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Grade
obtained |
Excellent |
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Dates |
From 1971
to 1976 |
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Title of
qualification awarded |
Mathematician,
Teacher of Mathematics |
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Name of
Institution, /City and Country |
Ivane.
Javakhishvili Tbilisi State University, Georgia |
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Name of
Faculty/Department/Major |
Faculty
of Mechanics and Mathematics |
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Research
area |
Algebra |
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Title of
Diploma Work |
On the
Cohomology and Cohomological Dimension of Categories |
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Diploma
Adviser |
Academician
( at that period Dr) H. Inassaridze |
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Grade
obtained |
Diploma (equivalent to Master degree),
Grade Excellent |
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Personal skills and competences |
Organised
person Self- motivated Able to
do strategic planning Attentive to detail Able to work under tight deadlines Able
to work individually and with a team |
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Mother tongue(s) |
Georgian |
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Other language(s) |
Russian,
English, German, Spanish |
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Self-assessment in English |
Understanding |
Speaking |
Writing |
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Level (poor, fair, good, very
good, excellent) |
Very good |
Very good |
Very good |
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Social skills and competences |
Ability
to establish and maintain good working relations with people of different
national and cultural backgrounds Ability to work individually and as a team member, good communication skills with partners Open minded, ability to look for creative solutions Good experience in project and team management - leading workgroups and facilitation of team members Goal-oriented work focused capacity |
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Institutional skills and competences |
Teaching
skills Able to be an adviser of young researchers Collaborating skills Understands organizational mission; understands ethics and public good; concerned with public trust Demonstrates ability in conflict management and dispute resolution Understands variety of approaches
to decision making |
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Technical skills and competences |
Analytical thinking Good presentation skills Operating Systems:
Windows Photo: PhotoEditing |
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Computer skills and competences |
Microsoft Office tools
(Word), Internet and MiKTeX skills,
OutlookExpess. |
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Awards and honours |
DAAD stipend (Germany), 1993; DFG grant (Germany), 2000; DAAD stipend (Germany), 2001; DFG grant (Germany), 2003. One or two month research grants of the Vigo and
Santiago de Compostela Universities, Ministry of education of Spain and
Xunta de Galicia (Spain) per year
during the period 2004-2013. Grant of the Minstry of education of Turkey, TUBITAK,
20014, 6 months period. |
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Main Publications |
1. On the cohomological dimension of categories, Bull. Georgian Acad. Sci., 88
(1977), No.1,17-20. 2. On the cohomology of categories, Proc. Math. Inst. Georgian Acad. Sci., LXII ( 1979), 28-37. 3. On
Hilbert's theorems for polinomial extensions of additive categories,
Abstracts of the talks of the VIII Conference of Georgian
Mathematicians, Kutaisi, 1979, 58-59. 4. On the computation of the global homological
dimension of certain linear topological matrix rings, Abstracts of the
All-Union Symposium on the Theory of Rings, Algebras and Modules,1980, Kishenev (Moldavia). 5. On the global homological dimension of extensions
of rings, Bull.Georgian Acad. Sci.
100 (1980),
No. 2, 301-304. 6. On the global homological dimensions of trivial
linear topological extensions of
linear topological rings, Bull.
Georgian Acad. Sci. 100 (1980), No.3, 537-540. 7. On the homological dimension of extensions of abelian
categories and rings, Bull. Georgian Acad. Sci. 101 (1981),
No.1, 37-40. 8. On the homological dimension of extensions of
abelian categories, Proc. Math. Inst.
Georgian Acad. Sci. LXX (1982), 24-41. 9. The global
homological dimension of trivial linear topological extensions of rings, Proc. Math. Inst. Georgian Acad. Sci. LXXIV ( 1983), 26-38. 10. On the global dimension of the category of
functors, Abstracts of the talks of the XI Conference of Georgian
Mathematicians, Kutaisi, 1986. 11. Coherence of nontrivial extensions of
abelian categories, Proc. Math. Inst.
Georgian Acad. Sci. 91 ( 1988), 3-11. 12.
Cohomology of internal categories in categories of groups with operations, in
Categoprical Topology and its Relation to Analysis, Algebra and Combinatorics, Editors: J. Adamek and S. Mac Lane, Proc.
Conf. Categorical Topology, Prague 1988, World Scientific, 1989, 270-283. 13.
Homological dimension of extensions of abelian categories and rings, Lecture Notes in Math. 1437 ( 1990), 1-35. 14. Cohomologically
trivial internal categories in categories of groups with operations, Applied Categorical Structures, 3 (1995), No.3,
221-237. 15.
Whitehead homotopy equivalence and internal category equivalence of crossed modules in
categories of groups with operations, Collected
papers on K-theory and Categorical Algebra, Proc. A.Razmadze Math Inst.
Acad.Sci. Georgia, 113 (1995),
3-30. 16. Kan
extensions of internal functors.Algebraic approach, Georgian Mathematical Journal, 6 (1999), No.2,
127-148. 17.
Categorical properties of Mac Lane – Whitehead constructions, Abstracts
of the talks of the International
Meeting in Category Theory, Como (Italy), 2000. 18. Category Cohomology, An article contributed
to Encyclopaedia of Mathematics Supplement II, Kluwer
Academic Publishers (2000), 153, 111. 19. Diagram, An article
contributed to Encyclopaedia of Mathematics Supplement II, Kluwer
Academic Publishers (2000), 153, 112. 20. (with T.Pirashvili), On (Co)Homology of
2-types and crossed modules, J. Algebra, 244 (2001), 352-365. 21. Kan
extensions of internal functors. Nonconnected case, J. Pure Appl. Algebra, 167 (2002), 195-202. 22. (with F.W.Bauer), Closed model category structures on the category of chain functors, Topology & its
Applications, 131(2003),101-128. 23. Central series for groups
with action and Leibniz algebras, Georgian Mathematical Journal, 9(2002),
No.4, 671-682. 24. Witt’s theorem for groups with action and free
Leibniz algebras, Georgian Mathematical Journal, 11 (2004), No.4, 691-712. 25. ( with F.W. Bauer) The existence of certain
(co-) limits in the category of chain functors, Journal
of Algebra and Its Applications, vol. 5, No. 4 (2006) 379-401. 26. (with J.M. Casas) Noncommutative Leibniz –
Poisson algebras, Communications in
Algebra, 34 (2006), No. 7,
2507-2530. 27. (with F.W. Bauer) Simplicial closed model
category structures on the category of chain functors, Homology, Homotopy and its Applications, vol.9(1), (2007), 1-32. 28. (with J.M. Casas and M. Ladra) Actors in
categories of interest arXiv:
math/0702574v2[mathCT] 29. (with J.M. Casas and M. Ladra) Actor of a precrossed module, Communications in Algebra, vol. 37, 2009, 4516-4541. 30. (with J.M. Casas and M. Ladra), Actor of an alternative algebra arXiv.math/0910.0550v1[mathRA] 3 Oct 2009. |
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31. (with J.M. Casas and M. Ladra) Universal strict
general actors and actors in categories of interest, Applied Categorical Structures vol. 18, 2010, 85-114. 32. (with J.M. Casas and M. Ladra) Actor of a Lie--Leibniz algebra, Communications in Algebra, 41 (4)
(2013), 1570–1587, DOI 10.1080/0092. 7872.2011.644608. 33. (with J.M. Casas, M. Ladra and E. Uslu) Actions in the category of precrossed modules in Lie algebras, Communications in algebra 40 (8) 2012, 1-21. 34. (with J.M. Casas and M. Ladra) Left-right Noncommutative Poisson
algebras, Cent. Eur. J.
Math 12 (1) (2014), 57–78. DOI:10.2478/s11533-013-0321-x. 35. (with Y. Boyaci, J.M. Casas, and E. O. Uslu) Actions in modified categories of interest with application to crossed modules, Theory and Applications of Categories, Vol. 30, No. 25, 2015, pp. 882–908. 36. Categorical,
Homological, and Homotopical Properties of Algebraic Objects, monograph, Springer, Journal
of Mathematical Sciences, Vol. 225, No. 3, 2017. 37. Ioseb Avalishvili , ,
Terminology topics, Vol. III,
2018, 53-67, Ivane Javakhishvili Tbilisi State University, Arnold Chikobava Institute of Linguistics, ISSN 1987-7633. 38. (with J.M. Casas and M. Ladra), Action theory
of alternative algebras, Georgian Math. J. 2019; 26(2): 177–197, DOI: http://doi.org/10.
1515/gmj-2019-2015. 39. (with O. Mucuk, T.
Sahan), Groups up to congruence relation and from categorical groups to
cssc-crossed modules, Journal of
homotopy and related structures,15(3-4):
625-640
DOI:10.1007/s40062-020—00270-4.. 40. (with T.Sahan), Actions and semi-direct products in categories of
groups with action, Hacet. J. Math.
Stat. (2023), https://doi.org/10.15672/hujms.1028848. 41. (with T.Sahan) Pentactions and action reprsentability
in the category of reduced groups with action, Georgian Mathematical Journal, published online November 2022.
https://doi.org/10.1515/gmj-2022-2205. 42. (with O. Mucuk, T.
Sahan and N. Alemdar), Equivalence of the categories of categorical groups
and cssc-crossed modules, in preparation for publication. 43. (with J.M. Casas and M.
Ladra) Action representability and
universal strict general actors in algebraic categories, Book, in preparation
for publication. 44. Self
acting group Lie and Leibniz algebras and cohomologies of self acting groups,
in preparation. 45.
Functorial properties of Mac Lane Whitehead constructions, in preparation. |
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Research Projects |
PROJECT TITLE: Algebraic K-Theory, Groups, and Categories FINANCIAL ENTITY: INTAS –93-416 LENGHT FROM:1995 TO: 1996 PRINCIPAL INVESTIGATOR: Prof. R. Brown PROJECT TITLE: Algebraic K-Theory, Groups, and Categories FINANCIAL ENTITY: INTAS – 93-0436 LENGHT FROM:1997 TO: 1998 PRINCIPAL INVESTIGATOR: Prof. R. Brown PROJECT TITLE: Homological Algebra, its Non-abelian and Categorical Topics, Applications to Homotopy Theory, K –Theory, Algebraic Geometry and Galois Theory-FINANCIALENTITY: GM1-115 of the U.S. CRDF LENGHT FROM:1997 TO: 1998 PRINCIPAL INVESTIGATOR: Prof. Ch. Weibel PROJECT TITLE: Homotopical Algebra and K-Theory FINANCIAL ENTITY: PICS CNRS Franco-Georgien De Mathématiques 542 LENGHT FROM:1999 TO: 2001 PRINCIPAL INVESTIGATOR: Prof. J.-L. Loday PROJECT TITLE: Homotopy, Galois Theory, and Descent FINANCIAL ENTITY: INTAS –97-31961 LENGHT FROM:1999 TO: 2002 PRINCIPAL INVESTIGATOR: Prof. T. Porter PROJECT TITLE: Algebraic K-Theory, Linear Algebraic Groups and Related Structures FINANCIAL ENTITY: RTN Network HPRN-CT-2002-00287 LENGHT FROM: 2003 TO: 2006 PRINCIPAL INVESTIGATOR: Prof. Ulf. Rehmann PROJECT TITLE: Categorical Algebraic and Topological Structures in Homotopical Algebra, K-Theory and Cyclic Homology FINANCIAL ENTITY: Georgia National Science Foundation LENGHT FROM: 2006 TO: 2009 PRINCIPAL INVESTIGATOR: Prof. Acad. H. Inassaridze PROJECT
TITLE: Métodos computaciones y homológicos en álgebras no
asociativas (Ref. MTM2009-14464-C02-02) FINANCIAL ENTITY: Ministerio de Ciencia e Innovación (Spain) LENGHT FROM: 2010 TO: 2012 PRINCIPAL INVESTIGATOR: Prof. José Manuel Casas Mirás PROJECT TITLE: Computación en algebras no
asociativas y algebras de Hopf (Ref. Incite09 207 215PR) FINANCIAL ENTITY: Xunta de Galicia (Spain) LENGHT FROM: 2009 TO: 2012 PRINCIPAL INVESTIGATOR: Prof. José Manuel Casas Mirás PROJECT TITLE: Homological, Homotopical and Categorical Properties of Algebras and Their Varieties FINANCIAL ENTITY: Shota Rustaveli National Science Foundation LENGHT FROM: 2010 TO: 2012 PRINCIPAL INVESTIGATOR: Dr. T. Datuashvili PROJECT TITLE: "Homological and categorical methods in topology, algebra and theory of stacks" FINANCIAL ENTITY: Shota Rustaveli National Science Foundation LENGHT FROM: 2013 TO: 2015 PRINCIPAL INVESTIGATOR: Prof. T. Pirashvili |
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Conferences and Workshops |
Regular Domestic Conferences of Georgian Mathemticians since 1976. Conference in the History of Mathematics, 1994, Tbilisi (Georgia). Conference in Algebra Dedicated to the 70th Birthday Jubilee of
Academicain H. Inassaridze, 2002, Tbilisi
(Georgia). The
Fourth All Soviet Union Symposium on the Theory of Rings, Algebras and
Modules, 1980, Kishenev (Moldavia). International Conference in Categorical Topology,
1988, Prague (Czechoslovakia). International Meeting in Category Theory, 1989, Bangor (UK). International Conference in Category Theory, 1990,
Como (Italy). International Conference in Category Theory, 1991, Montreal (Canada). European Colloquium of Category Theory, 1994, Tours (France). International Seminar in Algebraic K-Theory, Groups, and
Categories, 1995, Bangor (UK) Homologie et BBQ, 1995, Tours (France). International Summer Meeting in Category Theory, 1995, Cambridge (UK). International Summer School in Categorical Topology,
1995, Alle-sur-Semois (Belgium). International Conference in Category Theory, 1999, Coimbra (Portugal). International School in Category Theory and Applications, 1999,
Coimbra (Portugal). International Conference CATOP 2000 Dedicated to the 70th Birthday Jubilee
of Prof. H. Kleisli, Fribourg
(Switzerland). International Conference Up to Homotopy, 2000, Luminy (France). International Conference Homology Theories, K-Theory and Homotopy
Theory, 2000, Tbilisi (Georgia). International Meeting in Category Theory, 2000, Como (Italy). III Seminario de Categorias y Aplicaciones, 2005, Santiago de Compostela(Spain). International Conference Homology Theories, K-Theory
and Homotopy Theory, 2007, Tbilisi
(Georgia). International Seminar in Category Theory Dedicated
to the memory of G.M. Kelly, University of Cape Town, (South African Republic), 2010. International Conference Topological Methods in Logic, 2012, Tbilisi
(Georgia). |
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Professional Memberships |
Member of the Georgian Mathematical Union Member of the Tbilisi
Centre for Mathematical Sciences Member of the Georgian Mathematical Terminology Committee at Tbilisi Iv.
Javakhishvili State University |
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Other Professional Activities |
Invited Talks on the
Seminars and Meetings 1. Talk on the
seminar in Algebra at Moscow M.
Lomonosov State University, Mathematics faculty,1981 (Russia). Chairman Prof.
A.V. Mikhalev,. Topic: Homological dimensions of rings and categories
(Category cohomology and its properties, solution of two problems of I Palmer
and J.-E. Roos stated in the literature.). 2.. Talk on the
meeting of the St. Petersburg Department of Steklov Institute of Mathematics
of the Russian Academy of Sciences, 1982 (Russia). Chairman Prof. Z.I.
Borevich. Topic: Homological dimensions of rings and categories. 3, Talk on the
seminar in Algebra and Topology at
Tbilisi Andrea Razmade mathematical institute dedicated to the visit of
Professor S. Mac Lane (Chicago
University, USA ), June 1987. Topic: The global homological dimension of trivial linear topological extensions of rings, solution of the
problem of I.Palmer and J.-E.Roos. 4. Talks on the seminars in Algebra and Topoogy at
Frankfurt University, Mathematics faculty (8 talk 1993 (Germany). Host Professor: F. W. Bauer, topics:
Category of groups with operations, Internal category theory and crossed modules, Cohomology of internal
categories. 5.Talk on the seminar in
Algebra and Topology at IRMA (Institut de Recherche Mathematique
Avancee), 2001, Strasbourg (France). Host
Professor: J.-L. Loday, topic: Central series of groups
with action and Leibniz algebras – the
solution of Loday’s two problems. 6. Talks on the seminars in Category Theory at the Catholic University
of Louvain, (3 talks) 2002 (Belgium). Host professor: F. Borceux,
topics: Kan extensions of internal functors, Whitehead’s homotopy systems of
CW complexes, Classification of connected cell complexes according to their
2-type, Categorical properties of Whitehead-Mac lane constructions,
Applications to the topological approach to the problem of the existence of
internal Kan extensions. 7. Talks on the
meetings at the Mathematics department of the Ercyies University (2
talks), 2009 (Kayseri, Turkey). Host professor: O. Mucuk, topics: E. Witt’s
construction and the theorem on central series of groups and Lie algebras, A
category of groups with action on itself, ideals, commutators and central
series of objects in this category, The solution of Loday’s two problems. 8. Talks on the
seminars in Algebra and Topology at
the Ercyies University, faculry of mathematics (11
studying and research seminars), 2009 (Kayseri, Turkey), Host Professor: O.
Mucuk, topics: Categories of interest, Internal category theory in the
category of groups with operations, Crossed modules, The equivalence of the
categories of crossed modules and internal categories in the category of groups with
operations, Monoidal categories, Categorical groups, c-groups, c-crossed
modules. 9. Talks on the seminars in algebra at Santiago de Compostela and Vigo
Universities (Pontevedra) during my stays there in the period 2004-2013, Host professors M. Ladra and J.M Casas. 10. Talks on the
seminars in Algebra and Topology at
the Ercyies University (12 research working seminars), 2012 (Kayseri, Turkey), Host
Professor: O. Mucuk. Editor of the journal TURKISH JOURNAL OF
MATHEMATICS Reviewer
of the journal Zentralblatt für Mathematik und ihre Grenzgebiete Referee
of the journals: Georgian
Mathematical Journal, Journal of
Homotopy and Related Structures, Journal of
Algebra and its Applications. Referee of Shota
Rustaveli National Science Foundation |
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