Institute of Mathematics of the Romanian Academy,

P.O. Box 1-764, RO-70700, Bucuresti, Romania

Senior researcher

Topology

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

- Secondary school
Autobuzul(Bucharest), teacher, 1975-1981National Institute for Scientific Creation (INCREST), junior researcher, 1982-1984INCREST-Bucharest, researcher, 1984-1990Institute of Mathematics of the Romanian Academy(Bucharest), researcher, 1990-1996Institute 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)

- 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 courseDifferential topology- introductory courseDifferential geometry- introductory courseSpectral sequences - applications in topologyLie groups and Lie algebrasGlobal Riemannian geometry

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

Barbu.Berceanu@imar.ro