IORDĂNESCU Radu-Sorin

Born 29 August 1940, Bucharest.

Education: University of Bucharest, Faculty of Mathematics and Physics (1957-62); Ph.D. in Mathematics (1971).

Current employment: senior researcher, Institute of Mathematics of the Romanian Academy (IMAR).

Office address: Institutul de Matematica al Academiei Romane, Calea Grivitei 21, P.O. Box 1-764, RO-010702 Bucharest. Phone: 40-21-319.65.06. Fax: 40-21-319.65.05. E-mail: Radu.Iordanescu@imar.ro.

Home address: Calea Grivitei 238, Bl. C, Sc. C, Ap. 5, RO-011771 Bucharest. Phone: (021) 667.39.56.

Fields of research: applications of Jordan structures (especially to differential geometry and quantum mechanics).

Professional record: highschool mathematics teacher (1962-1964), researcher IMAR, Bucharest (1964-1971), senior researcher, IMAR, Bucharest (1971 - ), senior researcher, Central Institute of Physics – Bucharest (Magurele) (1975-1990); scientific secretary of IMAR (1968-1973), scientific secretary of Central Institute of Mathematics – Romania (1973-1975); lectures, Brno (1969), Oberwolfach (1970 and 1992), Berlin and Leipzig (1971), Cagliari and Torino (1972), Hagen and Tübingen (1990), Cagliari (1991), Roma (1991 and 1996), Granada, Zaragoza and Malaga (1991), Novosibirsk (1991), Thessaloniki (1992), Leuven (1993 and 1998), Genova (1994), München (1995), Budapest (1996), Coruña (1997), Santiago de Compostela (1997 and 1999), Barcelona (1998), London and Logroño (2001), Ancona, Firenze, Leece and Palermo (2005); research grants: National Research Council, Rome (1971-72), European Research Grants in Belgium and Italy (1993 and 1994), Spanish-Romanian Research Grant on Jordan Algebras (1999-2000), ANSTI-MEC Research Grant No. 6189GR (2000-2002); main organizer of seven International Workshops on Differential Geometry and its Applications (1993, 1995, 1997, 1999, 2001, 2003, 2005), and of three German-Romanian Seminars on Geometry (1997, 2000, 2003); Romanian co-chairman of the Belgian-Romanian Agreement “New Topics in Differential Geometry” (1998-2004); organizer (in co-operation with Goethe-Institut-Bukarest) of the cultural evening entitled “Die Mathematiker haben das Wort” (1999). Membership: Since 1980 – American Mathematical Society, since 1990 – Alexander von Humboldt Club Bucharest, since 1990 – Society of Romanian Mathematicians, since 2000 – “Acad. Prof. Gheorghe Vranceanu” Foundation Bucharest.

Humboldt Research Fellowship (1990): mathematics, Fernuniversität Hagen, Fachbereich Mathematik und Informatik, Prof. Dr. Holger P. Petersson.

Publications include:

A. Books:

1. Jordan and Lie simple gradings considered in differential geometry (in Romanian), 193 pp., Ed. Acad. RSR, Bucuresti, 1971 (in collaboration).

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, 201 pp., Editura Acad. Romane, 2003.

B. 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.

C. 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 A^p_m,n, Rev. Roumaine Math. Pures et Appl. 10 (1965), No. 9, 1403-1421.

3. Les reprèsentations quasi-irrèductibles des algébres A²_m,.n dans des algébres A^q_m',n' , Rev. Roumaine Math. Pures et Appl. 10 (1965), No. 10, 1583-1591.

4. Des reprèsentations quasi-irrèductible des algébres A³_{m,n ,} Rev. Roumaine Math. Pures et Appl. 11 (1966), No. 7, 843-845.

5. Spaces with constant affine connection associated with the algebras A^p_m,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. Sur les reprèsentations des algébres de Jordan et leur interprètation gèomètrique, Rev. Roumaine Math. Pures et Appl., 13 (1968), No. 3, 399-416 (in collaboration).

8. On representations of special Jordan algebras, Rev. Roumaine Math. Pures et Appl. 13 (1968), No. 8, 1089-1100 (in collaboration).

9. Graduations maximales associatives simples quaternioniennes, Rev. Roumaine Math. Pures et Appl. 15 (1970), No. 3, 359-366 (in collaboration).

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. Some maximal graduation classes and their Riemannian properties, Scripta Fac. Sci. Nat. UJEP Brunensis, Arch. Math. 7 (1971), 1, 31-46 (in collaboration).

15. Sulle strutture quaternionali grassmaniane, Boll. Un. Mat. Ital. (4) 10 (1974), 406-411.

16. On a space-time with sperical symmetry, Simon Stevin, Wissen Natuurkunding Tijdschrift, 48 Jaargang (1974/1975), 97-106, Allevering III-IV (January-April 1975).

17. On a Lorentzian manifold V_L²ⁿ⁺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 (in collaboration).

18. Jordan structures in geometry, in Proc. National Conference on Geometry and Topology (Piatra Neamt, June 1983), 62-69, Iasi, 1984.

19. Jordan structures, Grassmann manifolds, and string theories, in Proceedings of the National Conference on Geometry and Topology (Timisoara, October 1989), 101-110, 1991.

20. Strutture di Jordan e applicazioni, Quaderni dell'Universitá ''La Sapienza'' di Roma, 40 pp., 1991.

21. On geometrical applications of Jordan algebras, in Proceedings of the 22nd Conference of Differential Geometry and Topology (Bucharest, September 1991), 153-164, Bucharest, 1991.

22. 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).

23. Quantum groups and Jordan structures, Sci. Bull. Univ. Politehnica, Bucharest Ser. A, 57-58 (1995), No. 1-4, 43-60 (in collaboration).

24. The geometrical Barbilian's work from a modern point of view, Balkan J. of Geom. and its Appl. 1 (1996), No. 1, 31-36.

25. Open problems arised from a Vranceanu's topic, Bull. Math. Soc. Sc. Math. Roumanie, 44(92) (2001), No.1, 25-41.