Alexandru Dimca

Institut Universitaire de France

et

Université de Nice- Sophia Antipolis
Laboratoire J.-A. Dieudonné, UMR du CNRS 7351
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@unice.fr

Enseignement

Une photo

Curriculum Vitae

Areas of interest in Mathematics

  1. Singularities of algebraic and analytic varieties

  2. Algebraic D-modules, perverse sheaves and their applications

  3. Topology of algebraic and analytic varieties, hyperplane arrangements

  4. Mixed Hodge structures and intersection (co)homology

  5. De Rham cohomology of algebraic varieties

  6. Geometry and computer graphics

  7. Applications of Mathematics to Cosmology.

Publication List

Some recent papers

  1. (with S. Papadima): Arithmetic group symmetry and finiteness properties of Torelli groups,
    Ann. of Math.177(2013), 395-423.

  2. Syzygies of Jacobian ideals and defects of linear systems,
    Bull. Math. Soc. Sci. Math. Roumanie Tome 56(104) No. 2, 2013, 191-203.

  3. (with M. Saito): Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials,
    Math.Z. 275 (2013), 293-306.

  4. (with S. Papadima): Nonabelian cohomology jump loci from an analytic viewpoint,
    Commun. Contem. Math. 15, No. 5 (2013), 1350025 (47 pages), DOI: 10.1142/S0219199713500259.

  5. (with R. Hain and S. Papadima): The abelianization of the Johnson kernel,
    J. Eur. Math. Soc. 16 (2014), 805-822.

  6. (with M. Saito): Some remarks on limit mixed Hodge structure and spectrum,
    An. St. Univ. Ovidius Constanta 22(2) (2014), 69-78.

  7. (with M. Saito): Number of Jordan blocks of the maximal size for local monodromies,
    Compositio Math. 150(2014),344-368.

  8. (with E. Sernesi): Syzygies and logarithmic vector fields along plane curves,
    Journal de l'Ecole polytechnique-Mathématiques 1(2014), 247-267.

  9. (with G. Sticlaru): Koszul complexes and pole order filtrations,
    Proc. Edinburg. Math. Soc.58(2015), 333-354.

  10. Monodromy of triple point line arrangements, in: Singularities in Geometry and Topology 2011,
    Eds. V. Blanloeil, O. Saeki, Adv. Studies in Pure Math. 66 (2015), pp. 71-80, Math. Society of Japan.

  11. (with S. Papadima and A. Suciu): Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets,
    Bull. Math. Soc. Sci. Math. Roumanie 58(106), (2015), 257-269.

  12. (with G. Sticlaru): Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras,
    Documenta Math. 20 (2015) 689-705.

  13. (with D. Ibadula and D. A. Macinic): Pencil type line arrangements of low degree:
    classification and monodromy, arXiv:1305.5092. Ann. Scuola Norm. Sup. Pisa (to appear)

Books

  • Topics on Real and Complex Singularities, Vieweg, 1987.

  • Singularities and Topology of Hypersurfaces, Universitext, Springer Verlag, 1992.
  • Sheaves in Topology, Universitext, Springer Verlag, 2004.
  • Additions and Corrections to " Sheaves in Topology"

    Other writings

    1. Singularities and their deformations: how they change the shape and view of objects
    2. Singularités et Big Bang

    Editorial work
    1. Analele Stiintifice ale Universitatii Ovidius Constanta
    2. Annali dell'Universita  di Ferrara
    3. Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie
    4. Journal of Prime Research in Mathematics
    5. Journal of Singularity Theory

    Related links

    Société Mathématique de France
    CIRM Luminy
    CIMPA (Centre International de Mathématiques Pures et Appliquées)
    European Mathematical Society
    Mathematisches Forschungsinstitut Oberwolfach
    American Mathematical Society
    Institute of Mathematics of the Romanian Academy