Poze de la conferinta de la Deva, Septembrie 2005 (autor: W. Kaup)

CURRICULUM VITAE


I am born in Bucharest (Romania) on August 29th, 1940 and, after I finished a college in Bucharest, I was graduated in Mathematics at the University of Bucharest (1962).


Between 1962 and 1964 I teached mathematics at a secondary school in Bucharest, and since 1964 I am Scientific Researcher at the Institute of Mathematics of the Romanian Academy (IMAR) in Bucharest (since 1971 - Senior Researcher). Additionally, I was (between 1975 and 1990) Senior Researcher at the Central Institute of Physics - Bucharest (Magurele) and between 1991 and 1993 I teached (in English) geometry at the Faculty of Mathematics of the University of Bucharest.


Between 1963 and 1972 I gave communications and conferences in Romania and abroad (Bulgaria, Czechoslovakia, Est and West Germany, Italy, and Soviet Union).


In 1971 I obtained the Ph.D. in Mathematics at IMAR with the Thesis entitled "Riemann spaces associated with some real Jordan algebras".


I have more than 50 papers (only 8 of them coauthored) and four monographs: one - coauthored - in 1971, other two mimeographed in 1979 and in 1990 (the extended and up-dated version of that from 1979), and the fourth in 2000, all of them devoted, especially, to the study of Jordan algebras and their applications. That from 1979 as well as papers from 1970, are mentioned in all important reference books and papers published after 1980, and also in Encyclopaedia of Mathematical Sciences (Springer, 1995) on pages 243 and 277.


I have obtained the following grants: one year research grant from Consiglio Nazionale delle Ricerche - Italy (1971), one year research Humboldt Stipendium - Germany (1974 - transformed in Exceptional Humboldt Research Grant in 1990), three months European Community Grants for Belgium and Italy (1993 and 1994).


Since 1990 I gave a lot of conferences and seminars in Romania and abroad (England - 2001, Germany - 1990, 1992 and 1995, Spain - 1991, 1997, 1998, 1999 and 2001, Italy - 1991, 1994 and 1996, Russia - 1991, Greece - 1992, Belgium - 1993 and 1998, Hungary - 1996).


I am the Romanian co-chairman of a recent bilateral scientific agreement (signed in 1998) between the Institute of Mathematics of the Romanian Academy and the Section of Geometry of the Katholieke Universiteit Leuven (Belgium) devoted to new approaches in differential geometry.


I was the Romanian co-chairman for a Romanian - Spanish research project devoted to the study of the applications of Jordan structures to geometry and to physics (1999 - 2000).The main result of this research project is the monograph [4]. The above mentioned research project was developed in the framework of the Scientifical Cooperation Programme between the Romanian Government and the Spanish Government (Protocol signed on 25.09.1998).


I was the main organizer of five international WORKSHOPS on differential geometry and its applications (in 1993 - Bucharest, in 1995 - Constantza, in 1997 - Sibiu, in 1999 - Brasov, in 2001 -Timisoara) and of two German-Romanian SEMINARS on Geometry (in 1997 - Sibiu, in 2000 - Dortmund, Germany).


I set up two important and efficient scientific agreements: between the University of Timisoara and the University "La Sapienza" of Rome (1991) and between the University "Ovidius" of Constantza and the University of Granada (1993).Another scientific agreement -a consequence 1995 and 1997 WORKSHOPS - between the University of Timisoara and the University of Santiago di Compostela came into force the Fall of 1998. These agreements made possible (and still do it) to organize frequent exchanges of professors and students between the universities involved in the agreements.


A number of 23 young Romanian talented mathematicians (from Arad, Bucharest, Constantza,and Timisoara) obtained - also as a consequence of the above mentioned WORKSHOPS - invitations for summer schools, and MD, PhD or postdoctoral grants in France, Germany, Italy, Spain, Switzerland, USA.


The series of the above mentioned workshops contributed to the very good evaluation of IMAR (with the overall score 45/50) in the competition organized by the European Commision-General Directorate for Research in the frame of the Programme "Confirming the International Role of Community Research" (Support for Centres of Excellence) for the period March 2001 - February 2004.


Based on my talks given in the 1990s at the University "Ovidius" of Constantza and on my book [3], Eduard ASADURIAN (from the Univ. of Pitesti) developed in his Ph.D. Thesis (IMAR, January, 2001) a study of structure and representations of Jordan algebras (supervizor Prof. Mirela STEFANESCU). Then a book with this topic appeared (coauthored by ASADURIAN and STEFANESCU). In fact, after the second of the above mentioned WORKSHOPS (Constantza, 1995) the "Ovidius" University developed (and is still developing) a strong mathematical cooperation with IMAR (there are courses in Constantza given by members of IMAR, as well as part-time positions of them at "Ovidius" Univ.).


I am the chairman of the research topic "Jordan structures in analysis, geometry an physics" from the ANSTI-MEC grant No. 6189GR/25.10.2000 for a three year period (i.e., 2000, 2001 and 2002).


I was member of commissions for 18 Ph.D. Thesis and of many other commissions for exams in the frame of the Ph.D. Programme.


In 1999, in cooperation with Goethe-Institut-Bukarest, I organized a cultural evening entitled "Die Mathematiker haben das Wort".


I am now organizing the Sixth International WORKSHOP on Differential Geometry and its Applications and the Third German-Romanian Seminar on Geometry (Cluj-Napoca, September, 2003).


I am member of the Society of Romanian Mathematicians and of the American Mathematical Society, as well as one of the founders of the Balkan Society of Geometers. Since 1989 a short my biography is reported in "Who's who in the World" and since 1990 also in "Men of achievement".


LIST OF BOOKS AND PAPERS

I. Books

  1. (with I. Popovici and A. Turtoi) Jordan and Lie simple gradings considered in differential geometry (in Romanian), 193 p., Ed. Acad. RSR, Bucuresti, 1971.
  2. Jordan algebras with applications (Mimeographed), 170 pp., INCREST, Bucharest, 1979.
  3. Jordan structures with applications (Mimeographed), 495 pp., Institute of Mathematics,Bucharest, 1990.
  4. Jordan structures in geometry and physics,181 pp., Quaderno dell'Universita' "La Sapienza" di Roma,May, 2000.
  5. Jordan structures in geometry and physics with an Appendix on Jordan structures in analysis (will appear in 2002).

II. Co-edited Proceedings

  1. Proceedings of the Second International Workshop of Differential Geometry and its Applications (Constantza, Sept. 1995), 1995.
  2. Proceedings of the Third International WORKSHOP on Differential Geometry and its Applications and the First German-Romanian Seminar on Geometry (Sibiu, Sept. 1997), 1997.

III. Academic papers

  1. The structure of the exceptional simple group G2 (in Romanian), Stud. Cerc. Mat. 13 (1962), No. 4, 627 - 641.
  2. Sur les reprèsentations des algébres Apm,n , Rev. Roumaine Math. Pures et Appl.10(1965), No. 9, 1403 - 1421.
  3. Les reprèsentations quasi-irrèductibles des algébres A2m.n dans des algébres Aqm',n' , Rev. Roumaine Math. Pures et Appl., 10 (1965), No. 10, 1583 - 1591.
  4. Des reprèsentations quasi-irrèductible des algébres A3m,n . Rev. Roumaine Math. Pures et Appl., 11 (1966), No. 7, 843 - 845.
  5. Spaces with constant affine connection associated with the algebras Apm,n (in Romanian), Stud. Cerc. Mat. 18 (1966), No. 10,1545-1547.
  6. Sur les congruences ¥ cyclique du type (w) dont les nappes focales sont en correspondence pseudo-isomètrique, Rev. Roumaine Math. Pures et Appl., 12 (1967), No. 8, 1075 - 1078.
  7. (with I. Popovici). Sur les reprèsentations des algébres de Jordan et leur interprètation gèomètrique, Rev. Roumaine Math. Pures et Appl., 13 (1968), No. 3, 399 - 416.
  8. (with I. Popovici). On representations of special Jordan algebras, Rev. Roumaine Math. Pures et Appl., 13 (1968), No. 8, 1089 - 1100.
  9. (with I. Popovici). Graduations maximales associatives simples quaternioniennes, Rev. Roumaine Math. Pures et Appl., 15 (1970), No.3, 359 - 366.
  10. Gèomètrie diffèrentielle sur les formes rèelles de Jordan de type A1, Boll. Un. Mat. Ital., (1970), No. 4, 585 - 594.
  11. L'ètude des opèrateurs infinitèsimaux associèes aux algèbres de Jordan simples, An. Univ. Bucuresti, Mat.-Mec., 19 (1970), No. 2, 83 - 90.
  12. Mètriques sur les formes rèelles de Jordan, Rev. Roumaine Math. Pures et Appl., 15 (1970), No. 9, 1437 - 1444.
  13. Sur les graduations spèciales rèelles simples, Rev. Roumaine Math. Pures et Appl., 16 (1971), No. 5, 691 - 700.
  14. Riemann spaces associated with some real Jordan algebras (in Romanian), Ph. D. Thesis, IMAR, 1971 (unpublished).
  15. (with I. Popovici and A. Turtoi). Some maximal graduation classes and their Riemannian properties, Scripta Fac. Sci. Nat. UJEP Brunensis, Arch. Math., 7 (1971), 1, 31 - 46.
  16. Sulle strutture quaternionali grassmaniane, Boll. Un. Mat. Ital. (4), 10 (1974), 406 - 411.
  17. On a space-time with sperical symmetry, Simon Stevin, Wissen Natuurkunding Tijdschrift, 48 Jaargang (1974/1975), 97 - 106, Allevering III-IV (January-April 1975).
  18. (with R. Rosca) On a Lorentzian manifold VL2n+1 endowed a principal conection, Revue de la Facultè des Sciences de l'Univ. d'Instanbul, Sèrie Math. Pures et Appl., 41 (1975), 119 - 128.
  19. (with I. Popovici). Some basic properties of rotation and Lorentz groups, 25 pp., 1977, (unpublished).
  20. Introduction to the representation theory of finite groups (in Romanian), 53 pp., 1978 (unpublished).
  21. Jordan structures in geometry, in Proc. National Conference on Geometry and Topology (Piatra Neamt, June 1983), 62 - 69, Iasi, 1984.
  22. Jordan structures, Grassmann manifolds, and string theories, in Proceedings of the National Conference on Geometry and Topology (Timisoara, October 1989), 101 - 110, 1991.
  23. Strutture di Jordan e applicazioni, Quaderni dell'Universitá ''La Sapienza'' di Roma, 40 pp., 1991.
  24. On geometrical applications of Jordan algebras, in Proceedings of the 22nd Conference of Differential Geometry and Topology (Bucharest, September 1991), 153 - 164, Bucharest, 1991.
  25. Jordan structures - a unifying framework for Barbilian planes and Differential geometry, in Proceedings Internat. Workshop Diff. Geom. and its Appl. (Bucharest, July, 1993), 183 - 189 (1993).
  26. (with P. Truini) Quantum groups and Jordan structures, Sci. Bull. Univ. Politehnica, Bucharest Ser. A, 57 - 58 (1995) No. 1 - 4, 43 - 60.
  27. The geometrical Barbilian's work from a modern point of view, Balkan J. of Geom. and its Appl. 1 (1996), No. 1, 31 - 36.
  28. Recent advances and new open problems in the Jordan algebra approach to differential geometry, Preprint Inst. Math. Bucharest, 8/1996; Revised version 36/1996, 32pp. (partially included in the book [4]).
  29. Applications of Jordan structures to differential geometry and to physics (Recent advances and new open problems). Preprint Inst. Math. Bucharest 11/1998, 79 pp. (partially included in the book [4]).
  30. Jordan algebras in ring geometries. Preprint Inst. Math. Bucharest 13/1999, 50 pp. (partially included in the book [4]).
  31. Open problems arised from a Vranceanu's topic, Bull. Math. Soc. Sc. Math. Roumanie, 44(92) (2001), No.1, 25-41.

IV. Research reports

  1. Grassmann manifolds and Jordan algebras (in Romanian), 24 pp., Contract INCREST, Bucharest, 1980.
  2. Algebraic aspects in quantum mechanics and quantum gravity, 25 pp., Contract INCREST, Bucharest, 1980.
  3. Symmetric spaces investigated by means of Jordan algebras, 39 pp., Contract INCREST, Bucharest, 1981.
  4. Applications of Jordan pairs and Jordan triple systems to differential geometry I, II, Contract INCREST, 32 pp., 23 pp., Bucharest, 1982.
  5. Applications of Jordan algebras to projective geometry, 21 pp., Contract INCREST, 1983.
  6. On two recent geometrical approaches in quantum mechanics, 10 pp., Contract INCREST, Bucharest, 1983.
  7. New geometrical appllications of Jordan structures, 24 pp., Contract INCREST, Bucharest, 1984.
  8. On the geometrical properties of soliton equations, 9 pp., Contract IFTAR, Bucharest, 1984.
  9. Applications of Jordan structures to the study of solitons, 14 pp., Contract INCREST, Bucharest, 1985.
  10. On topologico-geometrical properties of the solutions of soliton equations, 9 pp., Contract IFTAR, Bucharest, 1985.
  11. Applications of Jordan structures to Yang-Mills equations, 12 pp., Contract INCREST, Bucharest, 1986.
  12. Applications of Jordan structures to gauge field equations, 10 pp., Contract INCREST, Bucharest, 1987.
  13. Applications of Jordan structures to the supersymmetric extensions of Sato's model for solitons, 11 pp., Contract INCREST, Bucharest, 1988.
  14. Algebraic structures and plasma physics (in Romanian), 7 pp., Contract IFTAR, Bucharest, 1988.
  15. New mathematical models of the theory of solitons in plasma physics (in Romanian), 9 pp., Contract IFTAR, 1989.
  16. Applications of Jordan structures to the multicomponent theory of solitons, 6 pp., Contract IFTAR, Bucharest, 1989.
  17. Jordan structures in geometry and physics,129pp.,Contract ANSTI, Bucharest,1999 (preliminary version of the book[4]).
  18. The Jordan structure method applied to differential geometry, 59 pp., ANSTI grant, 2000 (partially included in the book [5]).
  19. The Jordan algebra method applied to ring geometries, 52 pp., ANSTI grant, 2001 (partially included in the book [5]).

V. Didactic papers

  1. On a tangent problem (in Romanian), Gazeta Matematica 69 (1964), No. 4, 131 - 133.
  2. The angle of two straight lines (in Romanian), Gazeta Matematica, A 69 (1964), No. 6, 209 - 215.
  3. About the domain of definition of functions (in Romanian), Gazeta Matematica A 70 (1965), No. 1, 23 - 26.
  4. About the teaching of functions (in Romanian), Gazeta Matematica A, 70(1965), No. 1, 481 - 487.

VI. Other papers

  1. International Colloquim on global differential geometry (Bucharest, 1964), (in Romanian), Gazeta Matematica A 69 (1964), No. 11, 434 - 436.
  2. An important class of nonassociative structures: Jordan structures, Gazeta Matematica si Metodica 4 (1983), No. 3 - 4, 188 - 190.
  3. Up-to-dateness of scientifical research of Prof. Vranceanu and of his pupils (in Romanian), Revista Fundatiei acad. prof. Gh. Vranceanu, 2(2001), No.1 and No.2.