CURRICULUM VITAE
of GEORGE JANELIDZE
1 August 2002
DATE OF BIRTH: 19 May 1952
NATIONALITY: Georgian
STATUS: Married
(two children)
HOME ADDRESS:
36/2/10 Nutsubidze str., Tbilisi, Georgia
WEB SITE: http://www.rmi.acnet.ge/~gjanel/
SCIENTIFIC DEGREES:
1974 – Diploma of Highest
Education, Mathematician, Tbilisi State University;
1978 – Ph.D.
("Candidate of Sciences"), Tbilisi State University, confirmed by
Highest Certification Commission (VAK) in Moscow;
1992 – D.Sc. ("Doctor
of Science"), St.-Petersburg State University confirmed by Highest
Certification Commission (VAK) in Moscow.
POSITIONS HELD: Mathematical Institute of
the Georgian Academy of Sciences (1 M. Alexidze str., Tbilisi, Georgia) –
1975-1978
Assistant
1978-1985
Junior Research Scientist
1985-1989
Senior Research Scientist
from
1989 Leading Research Scientist
VISITING PROFESSOR POSITIONS
AND OTHER SCIENTIFIC VISITS FOR ONE MONTH OR MORE:
McGill University (Canada)
1990, 1995;
York University (Canada)
1990, 1993, 1997, 1999;
Milan University (Italy)
1990, 1993;
The University of Chicago
(USA) 1990;
Bielefeld University
(Germany) 1991, 1992;
Sydney University
(Australia) 1991, 1993-4, 1996, 1997-8, 1999-2000, 2001-2;
Mathematical Institute of
the Hungarian Acad. Sci. 1991, 1993, 1998;
Trieste University (Italy)
1993, 1994, 1995, 1996, 1997;
Genova University (Italy)
1994, 1995;
The University of Wales (UK)
1995;
The University of Tours
(France) 1995;
Louvain-la-Neuve
University (Belgium) 1996, 1998, 1999;
Littoral
University (France) 1997;
Coimbra University (Portugal) 1998, 2002;
Insubria University (Italy) 1999;
Aveiro University (Portugal) 2000-1;
Instituto Superior Téchnico in Lisbon (Portugal)
2002.
TALKS AT NATIONAL AND INTERNATIONAL
CONFERENCES (inclung three talks on joint work given by
coauthors):
National Conferences in
Algebra in USSR: 1981, 1983, 1985, 1987, and 1989;
Eastern European Category
Seminar, Predela 1986;
International Meetings in
Topology: Baku 1987, Trieste 1993;
International Meetings in
Category Theory: Prague 1988, Bangor 1989, Como 1990, Montreal 1991, Sussex
1992, Tours 1994, Halifax 1995, Cambridge 1995, Coimbra 1999 (three talks),
Como 2000;
Peripatetic Seminar on
Sheaves and Logic: Trieste 1993, Utrecht 1998, Trieste 1998, Lovain-la-Neuve
1999;
International Meeting in
Universal Algebra and Category Theory, Berkeley 1993;
International Meetings in
Descent Theory: Oberwolfach 1995, Alle-sur-Semois 1996;
Seminar in Honour of G. M.
Kelly, Sydney 1996;
International Conference
“Hopf Algebras and Quantum Groups”, Brussels 1998;
Special session on
"Smooth categories in geometry and mechanics" of the 943nd regional
meeting of the American Mathematical Society, Buffalo 1999;
International Meeting “Categorical Methods in Algebra and Topology”, Nassogne 1999;
International Conference on
Galois Connections, Potsdam 2001;
International Meeting on
Semiabelian Categories, Haute-Bodeux 2001
TEACHING:
Teaching in Georgia: Special courses in General Algebra, Homological Algebra, Category Theory, Galois Theory (Tbilisi State University, 1980-1990).
Ph.D. students:
1. D. Zangurashvili,
Dissertation "Categorical algebraic properties in functor categories and
Grothendieck topoi" defended at Tbilisi State University in 1993;
2. N. Inasaridze,
Dissertation "Nonabelian tensor product and homology of groups"
defended at Tbilisi State University in 1997;
3. B. Mesablishvili,
Dissertation "Galois Theory of connected commutative rings in topoi"
defended at Tbilisi State University in 1998;
4. Sh. Gogoladze,
Dissertation "Solvability in radicals of separable polynomials over
commutative rings", ready for defense;
5. J. Xarez (Aveiro University, Portugal; from 2000);
6. A. H. Roque, (Aveiro University, Portugal; from 2000);
Teaching experience in
English – one semester courses for undergraduate or/and postgraduate students:
Foundation of Mathematics (McGill University, Canada, 1995);
Calculus I (Sydney
University, Australia, 1996);
Category Theory (Sydney
University, Australia, 1996);
Galois Theory (Louvain-la-Neuve University, Belgium, 1996);
Category Theory (York
University, Canada, 1995);
Category Theory (Coimbra
University, Portugal, 1998);
Linear Algebra (York
University, Canada, 1999);
Classical Mathematical
Structures and Category Theory (Aveiro University, Portugal, 2000);
Algebraic Topology (Aveiro University, Portugal, 2000);
Seminário I and II –
Introduction to sets, categories, number systems defined via universal
properties (Aveiro University, Portugal, Three courses in 2000/01).
OTHER
SCIENTIFIC ACTIVITIES:
Category Theory Seminar
(Mathematical Institute of the Georgian Academy of Sciences, from 1980).
Aveiro Category Seminar (from 2000).
Member, Scientific Committee in Mathematical Logic, Algebra, Number Theory, Analysis, Geometry, and Topology at Tbilisi State University (This is the examining committee responsible for awarding the Ph.D. and D.Sc. degrees in Georgia in the subjects mentioned above).
Member, Editorial Board of Proceedings of the Mathematical Institute of the Georgian Academy of Sciences.
Member, Editorial Board of Applied Categorical Structures.
Editor (together with A. Carboni and R. H. Street) of Special Volume of Journal of Pure and Applied Algebra dedicated to G. M. Kelly.
Co-organizer (together with I. Moerdijk and W. Tholen) of International Meeting in Descent Theory (Oberwolfach 1995).
Co-organizer (together with B. Pareigis and W. Tholen) of International Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories, to be held at The Fields Institute in September 2002. http://www.fields.utoronto.ca/programs/scientific/02-03/galois_and_hopf/
Member, Programming Committee of International Meeting in Category Theory (Como 2000).
Member, Scientific Committee of International Meeting on Semiabelian Categories (Haute-Bodeux 2001).
Local Coordinator at Mathematical Institute of the Georgian Academy of Sciences of the International projects
- "Algebraic K-theory, Groups, and Categories" – INTAS-93-416-ext. (Coordinator: R. Brown; other local coordinators: A. Bak, V. Gerasimov, A. Mikhalev, A. Suslin, N. Vavilov);
- "Algebraic Homotopy, Galois Theory, and Descent" –INTAS-97-31961 (Coordinator: T. Porter; other local coordinators: M. Sobral, D. Zangurashvili).
LIST
OF PUBLICATIONS OF G. JANELIDZE
1. Galois theory in
categories with inclusions, Proc. Junior Sci., Tbilisi State University, 2,
1974, 9-16 (in Russian)
2. Profinite extensions of
rings and the Harrison isomorphism, Bull. Georgian Acad. Sci. 78, 3, 1975,
529-532 (in Russian)
3. On satellites in
arbitrary categories, Bull. Georgian Acad. Sci. 82, 3, 1976, 529-532 (in
Russian)
4. Satellites with respect
to Galois extensions, Proc. Math. Inst. Georgian Acad. Sci. LXII, 1979, 38-48
(in Russian)
5. Description of the finite
Galois extension functor of an arbitrary commutative ring, Bull. Georgian Acad.
Sci. 101, 1, 1981, 17-20 (in Russian)
6. Cohomology of category
objects and Galois extensions of commutative rings, Bull. Georgian Acad. Sci.
102, 1, 1981, 17-20 (in Russian)
7. Computation of Kan
extensions by means of injective objects and the functors Ext in nonadditive
categories, Proc. Math. Inst. Georgian Acad. Sci. LXX, 1982, 42-51 (in Russian)
8. Cohomology of pairs of
monoids and homological algebra of internal modules, Proc. Math. Inst. Georgian
Acad. Sci. LXX, 1982, 56-68 (in Russian)
9. On abelian extensions of
commutative rings, Bull. Georgian Acad. Sci. 108, 3, 1982, 477-480 (in Russian)
10. Galois extensions of
commutative rings by profinite families of groups, Proc. Math. Inst. Georgian
Acad. Sci. LXXIV, 1983, 39-51 (in Russian)
11. Magid's theorem in
categories, Bull. Georgian Acad. Sci. 114, 3, 1984, 497-500 (in Russian)
12. Galois theory of
separable polynomials over a commutative ring, Investigations in Algebra,
Tbilisi and Moscow State Universities, Tbilisi 1985, 44-64 (in Russian)
13. Abelian extensions (of
invertible rank, with normal basis) of commutative rings with an infinite
number of idempotents, Proc. Math. Inst. Georgian Acad. Sci. LXXVII, 1985,
36-49 (in Russian)
14. The fundamental theorem
of Galois theory, Math. USSR Sbornik 64 (2), 1989, 359-384
15. Galois theory in
categories: the new example of differential fields, Proc. Conf. Categorical
Topology in Prague 1988, World Scientific 1989, 369-380
16. Pure Galois theory in
categories, Journal of Algebra 132, 1990, 270-286.
17. Cohomology and
extensions of internal modules, Springer Lecture Notes in Mathematics 1437,
1990, 157-168
18. What is a double central
extension? (the question was asked by Ronald Brown), Cahiers de Topologie et
Geometrie Differentielle Categorique XXXII-3, 1991, 191-202
19. Precategories and Galois
theory, Springer Lecture Note in Mathematics 1488, 1991, 157-173
20. (with W. Tholen) How
algebraic is the change-of-base functor?, Springer Lecture Note in Mathematics
1488, 1991, 174-186
21. A note on
Barr-Diaconescu covering theory, Contemporary Mathematics 131, 3, 1992, 121-124
22. (with D. Schumacher and
R. H. Street) Galois theory in variable
categories, Applied Categorical Structures 1, 1993, 103-110
23. (with W. Tholen) Facets
of Descent I, Applied Categorical Structures 2, 1994, 245-281
24. (with L. Marki) Radicals
of rings and pullbacks, Journal of Pure and Applied Algebra 97, 1994, 29-36
25. (with G. M. Kelly)
Galois theory and a general notion of a central extension, Journal of Pure and
Applied Algebra 97, 1994, 135-161
26. (with A. Carboni)
Modularity and Descent, Journal of Pure and Applied Algebra 99, 1995, 255-265
27. (with A. Carboni)
Decidable (=separable) objects and morphisms in lextensive categories, Journal
of Pure and Applied Algebra 110, 1996, 219-240
28. (with A. Carboni and A.
R. Magid) A note on Galois correspondence for commutative rings, Journal of
Algebra 183, 1996, 266-272
29. (with A. Carboni, G. M.
Kelly, and R. Pare) On localization and stabilization of factorization systems,
Applied Categorical Structures 5, 1997, 1-58
30. (with R. Brown) Van
Kampen theorems for categories of covering morphisms in lextensive categories,
Journal of Pure and Applied Algebra 119, 1997, 255-263
31. (with W. Tholen) Facets
of Descent II, Applied Categorical Structures 5, 1997, 229-248
32. (with M. C. Pedicchio)
Internal categories and groupoids in congruence modular varieties, Journal of
Algebra 193, 1997, 552-570
33. (with G. M. Kelly) The
reflectivness of covering morphisms in algebra and geometry, Theory and
Applications of Categories 3, 1997, 132-159
34. (with D. Bourn)
Protomodularity, descent, and semidirect products, Theory and Applications of
Categories 4, 1998, 37-46
35. (with L. Marki and W.
Tholen) Locally semisimple coverings, Journal of Pure and Applied Algebra 128,
1998, 281-289
36. (with R. Brown) Galois
theory of second order covering maps of simplicial sets, Journal of Pure and
Applied Algebra 135, 1999, 23-31
37. (with W. Tholen)
Functorial factorization, well-pointedness and separability, Journal of Pure
and Applied Algebra 142, 1999, 99-130
38. (with W. Tholen)
Extended Galois theory and dissonant morphisms, Journal of Pure and Applied
Algebra 143, 1999, 231-253
39. (with R. H. Street)
Galois theory in symmetric monoidal categories, Journal of Algebra 220, 1999,
174-187
40. (with G. M. Kelly)
Central extensions in Mal’tsev varieties, Theory and Applications of Categories
7, 10, 2000, 219-226
41. (with G. M. Kelly)
Central extensions in universal algebra: a unification of three notions,
Algebra Universalis 44, 2000, 123-128
42. (with F. Borceux) Galois
Theories, Cambridge Studies in Advanced Mathematics 72, Cambridge University
Press, 2001
43. (with M. C. Pedicchio) Pseudogroupoids and commutators, Theory and Applications of Categories 8, 15, 2001, 408-456
44. (with G. M. Kelly) A note on actions of a monoidal category, Theory and Applications of Categories 9, 4, 2001, 61-91
45. (with L. Marki and W. Tholen) Semi-abelian categories, Journal of Pure and Applied Algebra 168, 2002, 367-386
ACCEPTED FOR THE PUBLICATION
46. (with M.
Sobral) Finite preorders and topological descent I, Journal of Pure and Applied
Algebra
47. Categorical
Galois theory: revision and some recent developments, Proc. International
Conference on Galois Connections, Potsdam 2001
48. (with L.
Marki) Kurosh-Amitsur radicals via a weakened Galois connection, Communications
in Algebra
49. (with M.
Sobral) Finite preorders and topological descent II: étale descent, Journal of
Pure and Applied Algebra
RECENT
PREPUBLICATIONS
50. Internal
crossed modules, Preprint 14/2002, Dept. Math. Instituto
Superior Téchnico, Lisbon 2002
51. (with A. Carboni) Boolean Galois theories, Preprint 15/2002, Dept.
Math. Instituto Superior Téchnico, Lisbon 2002
52. (with D. Bourn) Characterization of protomodular
varieties of universal algebras, Preprint 16/2002, Dept. Math. Instituto
Superior Téchnico, Lisbon 2002