page web Alex Dimca

Alexandru Dimca

Université de Nice- Sophia Antipolis
Laboratoire J.-A. Dieudonné, UMR du CNRS 6621
Parc Valrose, 06108 Nice, Cedex 02
FRANCE

Phone:: +(33) (0)4 92 07 62 42
Fax:: +(33) (0)4 93 51 79 74
Email:: dimca@math.unice.fr

Enseignement

Au travail

Curriculum Vitae

Areas of interest in Mathematics

Singularities of algebraic and analytic varieties
Algebraic D-modules, perverse sheaves and their applications
Topology of algebraic and analytic varieties, hyperplane arrangements
Mixed Hodge structures and intersection (co)homology
De Rham cohomology of algebraic varieties
Geometry and computer graphics
Applications of Mathematics to Cosmology, Biology and Economics.

Publication List

Some recent papers

(with A.D.R. Choudary and S. Papadima): Some Analogs of Zariski Theorem on Nodal Line Arrangements, Algebraic and Geometric Topology 5 (2005), 691-711.
(with A. Libgober): Local topology of reducible divisors,in: Real and Complex Singularities, Trends in Math., Birkh\"auser 2006, pp. 99-111.
(with A. Libgober): Regular functions transversal at infinity, Tohoku Math. J.58(2006),549-564.
(with M. Saito): A generalization of Griffiths' theorem, Duke Math. J. 135(2006), 303-326.
(with L. Maxim): Multivariable Alexander invariants of hypersurface complements, Trans. Amer. Math. Soc. 359(2007),3505-3528.
On the connectivity of some complete intersections, in: The second Japanese-Australian Workshop on Real and Complex Singularities, RIMS K\^oky\^uroku 1610, pp.11-17(2008).
(with S. Papadima and A. Suciu): Formality, Alexander invariants, and a question of Serre, math.AT/0512480.
(with Ph. Maisonobe, M. Saito et T. Torrelli): Multiplier ideals, V-filtrations and transversal sections, Math. Ann. 336(2006), 901-924.
(with S. Papadima and A. Suciu): Quasi-Kahler Bestvina-Brady groups, Journal of Algebraic Geometry17 (2008), no. 1, 185-197.
(with S. Papadima and A. Suciu): Non-finiteness properties of fundamental groups of smooth projective varieties, J. Reine und Angew. Math. Crelle 629(2009), 89-105.
Characteristic varieties and constructible sheaves, Rend. Lincei Mat. Appl. 18(2007), 365- 389.
On admissible rank one local systems, Journal of Algebra 321(2009), 3145-3157.
(with S. Papadima and A. Suciu): Alexander polynomials: essential variables and multiplicities, Int. Math. Research Notices vol.(2008), no.~3, Art. ID rnm119, 36 pp.
(with A. Suciu): Which 3-manifolds groups are Kaehler groups?, math.AG/0709.4350.(to appear in J. European Math. Soc.)
Sheaves in Topology, Universitext, Springer Verlag, 2004.

Additions and Corrections to " Sheaves in Topology"

Other writings

Former PhD students