Mounir Nisse    

       

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Contact Info:

  Office Location: 7C22
  Office Phone:   01 44 27 86 60
  Email Address: nisse_at_math.jussieu.fr
  Web Page: http://www.math.jussieu.fr/~nisse

Mailling Address:
  
   Institut de Mathématiques  de Jussieu (UMR 7586),
   Université  Pierre et Marie Curie - Paris 6, Analyse Algébrique,
   175,  rue du Chevaleret, 75013 Paris,  France.

Education:

   PhD (Doctorat) Université Pierre et Marie Curie - Paris 6 ,
   Master "DEA" Université  Pierre et Marie Curie - Paris 6   "Méthode Algébrique".


 Research Interests:     Algebraic and Tropical Geometry;
                                   Amoebas, Coamoebas, and Mirror Symmetry;
                                   Singularities  and their Deformations.

  Instructions:
  Construction of Amoebas and Coamoebas of Complex Hypersurfaces Using Maple.


 Recent Preprints:

    1."Geometric and combinatorial structure of  hypersurface coamoebas",
       Preprint 2009,  http//fr.arxiv.org/pdf/0906.2729
    2. "Patchworking Coamoebas, Dimer Models on Torus and Planar Quivers ", in Preparation.
    3."Coamoebas, Descartes rule and Harnack curves", in Preparation,
    4."On the geometry of coamoebas of complex algebraic hypersurfaces",
        Oberwolfach Wokshop on Toric geometry, January 2009.
    5. "Cosolidness of complex algebraic hypersurfaces coamoebas", in Preparation,
    6. "Complex tropical hypersurfaces, coamoebas, and tropical mirror symmetry", In progress
    7. "Complex tropical localization, coamoebas, and mirror tropical hypersurfaces",
          Preprint 2008. http//fr.arxiv.org/pdf/0806.1959
    8. " Coamoebas of Complex Algebraic Plane Curves and the Logarithmic Gauss Map",
          Preprint 2008. http//fr.arxiv.org/pdf/0805.2872
     9. " Amoebas and Coamoebas, Relationships and Similarities", Preprint 2007.
  10. " Coamoebas of  Complex Algebraic Hypersurfaces", Preprint 2007.
  11. "Maximally Sparse Polynomials have Solid Amoebas", Preprint 2007. http://fr.arxiv.org/pdf/0704.2216
  12. "Amoebas of Minimal Area", Preprint 2006.
  13. " On  Area of Amoebas of Curves in (C*)² ", ( with J.J. Risler) Preprint 2006.
  14. " Déformations Locales de Type Harnack-Risler d'un germe de Singularitées", Preprint 2005.
  15. " Lines of multiplicity 4 and 5 in P³ ", (with K. Nisse) in preparation.

Other Notes:

    1. " Géométrie Tropicale et Correspondance de Mikhalkin",Preprint 2005.
    2. "Déformations Locales d'une Branche et sa Courbe Monomiale", Note of a talk given by  Pedro D. Gonzalez Perez in  Seminar  " Géométrie Tropicale et Singularitées" of  J.J. Risler 2005.
    3. " Sur la connexité du schéma de Hilbert H(3,g)", Memoire de DEA.