ZORAN RAKIĆ  
     


Zoran Rakić, 2004

Address Faculty of Mathematics
  University of Belgrade
  Studentski trg 16, pp. 550
  11000 Belgrade, Serbia&Montenegro
Telephone number +381 11 630 151
Email zrakic@matf.bg.ac.yu
Date of birth January 1st, 1964
Place of birth Kutina, SFR Yugoslavia
Citizenship Serbia and Montenegro
   
   
   

Education:

  1971 - 1979 Elementary school
  1979 - 1983 Secondary school (Mathematical gymnasium), Zagreb
  1984 - 1988 Department of Mathematics, Faculty of Natural Sciences, University of Zagreb, B.Sc.
  1988 - 1991 Graduate study, Department of Mathematics, Faculty of Natural Sciences, University of Zagreb, M.Sc.
  May, 1998 Ph.D., Faculty of Mathematics, University of Belgrade

Degrees and Diplomas:

  1988 B.Sc., Department of Mathematics, Faculty of Natural Sciences, University of Zagreb
B.Sc. Thesis: "Representations of the group SU(n)"
  1991 M.Sc., Department of Mathematics, Faculty of Natural Sciences, University of Zagreb
M.Sc. Thesis: "Quantum groups "
  1998 Ph.D., Faculty of Mathematics, University of Belgrade
Ph.D. Thesis: "Osserman Manifolds"

Employment:

  Since 2004 Associate Professor, Faculty of Mathematics, University of Belgrade

The list of research papers:

1 _____, N. Blažić and N. Bokan,  The first order PDE system for type III Osserman manifolds, Publ. I. Math.--Belgr. Vol. 62(76), (1997), p. 113 -- 119.
2

_____, N. Blažić, N. Bokan and P. B. Gilkey, Pseudo--Riemannian Osserman manifolds, Balkan J. Geom. Appl., Vol. 2 (2), (1997), 1--12.

3 _____, An example of rank two symmetric Osserman Space, Bull. Austral. Math. Soc., Vol 56, (1998), p. 517 -- 521.
4 _____, Polynomial deformations of Enveloping Algebra U sl(2,C) Czech. J. of Physics, Vol 48 (11), (1998), p. 1489 -- 1494.
5 _____, N. Blažić and N. Bokan, Recurrent Osserman spaces, B.
Serbian Akad. Sci., Vol. 23, (1998), p. 63 -- 70.
6  _____, N. Blažić and N. Bokan, Nondiagonalizable timelike (spacelike) Osserman (2,2) manifolds, Saitama Math. J., Vol 16, (1998), p. 15 -- 22.
7 _____, N. Blažić and N. Bokan, Foliation of dynamically homogeneous neutral manifold, J. Math. Phys., Vol 39 (11), (1998), p. 6118 -- 6124.
8 _____, D. M. Alekseevsky, N. Blažić and N. Bokan, Selfdual pointwise Osserman Spaces, Archivum Mathematicum, Vol. 35, No. 3, (1999), p. 193 -- 201.
9

 _____, Duality principle in Osserman Manifolds, Lin. Alg. and its Appl., 296 (1--3) (1999) p. 183 -- 189.

10 _____, N. Blažić and N. Bokan, A note on Osserman conjecture and isotropic covariant derivative of curvature, Proc. Amer. Math. Soc. 128 (2000), p. 245 -- 253.
11 _____, N. Blažić and N. Bokan, Osserman Pseudo--Riemannian manifolds of signature (2,2), J. Austral. Math. Soc. 71 (2001), p. 367 -- 395
12 _____ N. Bokan and P. Matzeu, Holonomy, geometry and topology of manifolds with Grassmann structure, to appear in Proc. of "Janos Bolyai Conference on Hyperbolic Geometry", Budapest (Hungary), July 08--12, 2002, Kluwer Publishing Company, 2004.
13 _____ and B. Dragović Path integrals in noncommutative quantum mechanics, Theor. Math. Phys. (to appear).
14 _____ and B. Dragović, Lagrangian Aspects of Quantum Dynamics on a Noncommutative Space, to appear in Proc. "Workshop Contemporary Geometry and Related Topics", Belgrade, May 15--21, 2002, World Scientific, p. 159--171, 2004, arXiv: hep--th/0302167.
15 _____ and B. Dragović, Path integral approach to noncommutative quantum mechanics, to appear in Proc. "International Workshop V: Lie Theory and its
Applications in Physics", Varna (Bulgaria), June 16 -- 22, 2003, World Scientific, arXiv:
hep--th/0309204.

Other lectures:

1 _____, Quantum groups, Proceedings of the Summer School of Modern Mathematical Physics, SFIN XV, Seria A: Conferences No. A3, (2002), 189--212.

Other activities:

1 Member of the Scientific and Organizing Committee of Workshop Contemporary Geometry and Related Topics, May 15 -- 21, 2002, Belgrade (Yugoslavia).
2 Member of the Editorial Board of the Proceedings of Workshop Contemporary Geometry and Related Topics (May 15 -- 21, 2002, Belgrade (Yugoslavia)), World Scientific, 2004.
3 Member of the Organizing Committee of 3rd Summer School in Modern Mathematical Physics, August 20 -- 30, 2004, Zlatibor (Serbia and Montenegro).
4 Member of the Scientific and Organizing Committee of Workshop Contemporary Geometry and Related Topics, July 2005, Belgrade (Serbia and Montenegro).
5 An member of DAAD Foundation on Education and Applications of New Technologies in teaching, since 2000.
6 Reviewer of Zentrallblat fűr Mathematik, since 2000.
7 An investigator on the Project 04M03D Differential geometry and applications (1992 -- 1996).
8 An investigator on the Project 04M03D Differential geometry and applications (1996 -- 2000).
9 The leader of the theme "Geometry and education" of the Project "Geometry, education and visualization with applications", (2001 -- 2003).

Activities in teaching (as an Assistant and Lecturer):

1 Linear Algebra
2 Mathematical Analysis I
3 Mathematical methods in Physiscs
4 Algebra II
5 Analytic Geometry (lecturer)
6 Mathematics I (for students of Physical Chemistry)(lecturer)
7 Selected chapters of Algebre (lecturer)
8 Lie Groups (graduate course, lecturer)
9 Groups in Geometry grupe (graduate course, lecturer)
10 Theory of Group Representations (graduate course, lecturer)
11 Riemannian Geometry (graduate course, lecturer)