Alexandru Dimca
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. Free and nearly free hypersurfaces


Publication List


Some recent papers

  1. (with G. Sticlaru): Syzygies of Jacobian ideals and weighted homogeneous singularities, Journal of Symbolic Computation 74(2016), 627--634.

  2. (with D. Ibadula and D. A. Macinic): Pencil type line arrangements of low degree: classification and monodromy, Ann. Scuola Norm. Sup. Pisa, Vol. XV (2016), 249--267.

  3. The Poincaré-Deligne polynomial of Milnor fibers of triple point line arrangements is combinatorially determined, Canad. Math. Bull. 59(2016), 279--286.

  4. Freeness versus maximal degree of the singular subscheme for surfaces in $P^3$, Geom. Dedicata 183(2016), 101--112.

  5. (with D. Arapura and R. Hain): On the fundamental groups of normal varieties, Commun. Contem. Math. 18 (4)(2016), (17 pages), DOI:10.1142/S0219199715500650

  6. (with G. Lehrer): On the cohomology of the Milnor fiber of a hyperplane arrangement, In: F. Callegaro et al. (eds.), Configuration Spaces, Springer INdAM Series 14(2016), pp. 319-360.

  7. (with D. Popescu): Hilbert series and Lefschetz properties of dimension one almost complete intersections, Comm. Algebra 44 (2016), 4467--4482.

  8. Freeness versus maximal global Tjurina number for plane curves, Math. Proc. Cambridge Phil. Soc. 163 (2017), 161--172.

  9. (with G. Sticlaru): Mixed multiplicities, Hilbert polynomials and homaloidal surfaces, Math. Nachrichten 290 (2017), 785--793.

  10. (with G. Sticlaru): A computational approach to Milnor fiber cohomology, Forum Math. 29 (2017), 831--846.

  11. (with G. Sticlaru): On the exponents of free and nearly free projective plane curves, Rev. Mat. Complut. 30(2017), 259--268.

  12. On the syzygies and Hodge theory of nodal hypersurfaces, Ann. Univ. Ferrara Sez. VII Sci. Mat. 63 (2017), 87--101.

  13. Jacobian syzygies, stable reflexive sheaves, and Torelli properties for projective hypersurfaces with isolated singularities, Algebraic Geometry 4(2017), 290--303.

  14. Curve arrangements, pencils, and Jacobian syzygies, Michigan Math. J. 66 (2017), 347--365.

  15. (with G. Sticlaru): Free divisors and rational cuspidal plane curves, Math. Res. Lett. 24(2017), 1023--1042.

  16. (with M. Saito): Generalization of theorems of Griffiths and Steenbrink to hypersurfaces with ordinary double points,Bull. Math. Soc. Sci. Math. Roumanie. 60 (108), no. 4, 2017, 351--371.

  17. On the Milnor monodromy of the irreducible complex reflection arrangements, arXiv: 1606.04048, to appear in Journal of the Institute of Mathematics of Jussieu.


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"

  • Hyperplane Arrangements: An Introduction, Universitext, Springer Verlag, 2017.
  • Additions and Corrections to "Hyperplane Arrangements: An Introduction "


    Other writings

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


    Singular Codes


    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
    6. Mathematical Reports
    7. Revue Roumaine de Mathématiques Pures et Appliquées


    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