Barbu-Rudolf Berceanu

Adress:

Institute of Mathematics of the Romanian Academy,
P.O. Box 1-764, RO-70700, Bucuresti, Romania

Present position:

Senior researcher

Field of specialization:

Topology

Studies

• Ph.D. 1995, University of Bucharest
• Ph.D. 1995, University Paris 7

Professional activities

• Secondary school Autobuzul (Bucharest), teacher, 1975-1981
• National Institute for Scientific Creation (INCREST), junior researcher, 1982-1984
• INCREST-Bucharest, researcher, 1984-1990
• Institute of Mathematics of the Romanian Academy (Bucharest), researcher, 1990-1996
• Institute of Mathematics (Bucharest), senior researcher, 1996-
• Member of the scientific committee of the Institute, 1994-
• Research grant from the University of Paris VII (april-september 1993)
• Invited researcher at Sydney University (1996)
• Invited for teaching and researche at the University Joseph Fourier, Grenoble (february-june 1998)

Research activities

• Applications of the rational homotopy theory:
  • Rational homotopy of the algebraic varieties [1,2]
  • Serre's problem for low dimensional manifolds [4,5,9]
  • Rigidity of the fundamental group [7,8,9]
  • Rigidity of the pure braid group [9]
• Word problem and conjugacy problem in the braid group [10]
• Topology of the affine Cremona group [12]
• Teaching (University of Bucharest)
  • Algebraic topology - introductory course
  • Differential topology - introductory course
  • Differential geometry - introductory course
  • Spectral sequences - applications in topology
  • Lie groups and Lie algebras
  • Global Riemannian geometry

List of publications

1. Homotopy of Hodge algebras (Romanian), INCREST 1984
2. Formal algebraic varieties (Romanian), INCREST 1985
3. Morse functions on open manifolds (Romanian), INCREST 1986
4. Hilton-Steer-like formulae (Romanian), INCREST 1987
5. Hilbert series of Hopf algebras (Romanian), INCREST 1988
6. Classification of maximal rank subalgebras in compact Lie algebras (Romanian), INCREST 1989
7. Semisimple Lie algebras (Romanian), Institute of Mathematics, 1991 (with M. Martin and S. Papadima)
8. Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes, Math.Ann. 298 (1994), 457-480 (with S.Papadima)
9. Moduli-spaces for generic low dimensional complexes, J. Pure Appl. Alg. 95 (1994), 1-25 (with S.Papadima)
10. Artin algebras - applications in topology (Romanian), Ph.D.-University of Bucharest, january 1995
11. Homotopie rationnelle des éspaces de petite dimension, Ph.D.-University Paris VII, december 1995; Stud. Cerc. Mat. T. 47, 2 (1995), 99-178
12. The topology of polynomial varieties, Report 96-35, School of Mathematics and Statistics, University of Sydney, 1996, in press