<font color="#416550"> CURRICULUM VITAE </font>
CURRICULUM VITAE
  1. Personal details
    • Name: Carla Dionisi
    • Place and date of birth: L'Aquila, 8/4/1973
    • Nationality: Italian
    • Address: Dipartimento di Matematica "U.Dini" , Università di Firenze, viale Morgagni 67/A, I-50134 Firenze, Italy
    • e-mail: dionisi@math.unifi.it

     
     
  2. Academic Degrees and Current Position
    3. July 24, 1996: Degree cum Laude in Mathematics, University of L'Aquila,
    Thesis:"Lo spazio tangente ad un fibrato istantone speciale simplettico in P2n+1",
    Advisor: Prof. G. Ottaviani (University of Florence)
    March 9, 2001: Ph. D. degree in Mathematics, University of Naples "Federico II",
    Thesis:" Multidimensional matrices and minimal resolutions of vector bundles",
    Advisor: Prof. G. Ottaviani (University of Florence)
    2001--2004 : 3-year research grant holder (assegnista di ricerca) in Algebraic Geometry,
    Dipartimento di Matematica Applicata "G.Sansone", University of Florence.
    March 2004 -- : Scientific collaboration with C.I.M.E. Foundation, Dipartimento di Matematica "U.Dini" , University of Florence.
    Sept 2004 -- : Teacher for the couse of "Complementi di Analisi Matemetica"
    (c.l. specialistica Ingegneria Gestionale), University of Florence
    Sept 2005 -- : Teacher the couse of "Metodi Matematici"
    (c.l. Economia Aziendale), University of Florence

     
     
  3. Grants

    4. May-June, 2003: EAGER contract HPRN-CT-2000-00099 at the Universidad Complutense de Madrid.

    July 1, 2006- March 31, 2007: Grant at the University of Roma "La Sapienza" sponsorized by CERI and ENEA.
     
     

  4. Research interests
    5. Algebraic Geometry:
    1. Minimal projective resolutions of holomorphic vector bundles on P2, links between monads and minimal resolutions, moduli spaces of stable vector bundles.
    2. Geometric Invariant Theory, multidimensional matrices and Steiner bundles.
    3. Secant varieties, defectivity and Grassmann defectivity of projective varieties, projections of Grassmannian subvarieties.
    4. Vector bundles on rational homegeneous varieties and vanishing the

      Applied Mathematics:
    1. Stability of Magnetohydrodynamic of plasmas and related numerical codes implemented on the ENEA GRID

     
  5. Publications

    6. [1] Carla Dionisi," Symplectic small Deformations of Special Instanton Bundle on P2n+1" Annali di Matematica Pura ed Applicata di Firenze (IV), vol.CLXXV (1998), pp. 285-293.
    [2] Carla Dionisi and Marco Maggesi, "Minimal resolution of general stable rank-2 vector bundles on P2", Bollettino U.M.I. (8) 6-B (2003),151-160.
    [3] Carla Dionisi and Giorgio Ottaviani," The Binet-Cauchy theorem for the hyperdeterminant of boundary format multidimensional matrices", Journal of Algebra, 259, (2003), 87-94.
    [4] Carla Dionisi ,"Stabilizers for nondegenerate matrices of boundary format and Steiner bundles", Revista Matemàtica Complutense, 2004, 17 Num. 2, 459-469.
    [5] Carla Dionisi and Claudio Fontanari,"Grassmann defectivity à la Terracini", Le Matematiche, Vol. LVI (2001) - Fasc.II, pp. 243-252.
    [6] Carla Dionisi and Giovanna Ilardi, "On algebraic hypersurfaces of Pr(C) multiple components of their hessian" International Mathematical Journal, vol.3, n.3 (2003), 343-352.
    [7] Carla Dionisi and Daniele Faenzi, "A simple vanishing theorem for twisted holomorphic forms on hermitian symmetric varieties " preprint

     
     
  6. Conferences and seminars as invited speaker

    • Minimal resolutions of rank 2 vector bundles on P2 in PROPRIETÀ GEOMETRICHE DELLE VARIETÀ REALI E COMPLESSE - Palermo (Italy), August 29 - September 4 1999;
    • Minimal resolution of general vector bundles on P2 ALT="$ {\mathbb{P}}^2$">in GIORNATE DI GEOMETRIA ALGEBRICA ED ARGOMENTI CORRELATI V, Gargnano del Garda (Italy), May 23-27, 2000;
    • Stable vector bundles on the projective plane, AUTUMN SCHOOL IN ALGEBRAIC GEOMETRY, Wikno (Poland), September 9-15, 2001.
    • Defective varieties, Department of Algebra, Universidad Complutense de Madrid (Spain) may 27, 2003;
    • The Binet-Cauchy theorem for hyperdeterminant multidimensional martices of boundary format, Department of Algebra, Universidad Complutense de Madrid (Spain) May 30, 2003;
    • Multidimensional matrices, hyperdeterminants and Steiner bundles, SMI-Cortona July,1 2003;
    • The Binet-Cauchy theorem for hyperdeterminant multidimensional martices of boundary format, XVII Convegno UMI, Milano, September 8, 2003
    • Homogeneous vector bundles and Bott theorem, Dipartimento di Matematica Firenze, march 31, 2004;
    • Stabilizzatori di matrici multidimensionali di formato bordo nondegeneri e fibrati di Steiner, Dipartimento di Matematica L'Aquila, December 6, 2004;

     
     
  7. Courses and schools attended

    • SCUOLA MATEMATICA INTERUNIVERSITARIA - Corso Estivo di Matematica - Perugia (Italy) July, 27- August, 29 1997;
    • GAEL (Géométrie algébrique en liberté), CIRM, Luminy (FR) March, 22-26, 1999, lectures by A. Beauville, J. P.  Demailly, C. Okonek;
    • Introduction to minimal model theory and applications, Ferrara (Italy), April, 10-14, 2000, lectures by M. Andreatta and M. Mella;
    • Projective varieties and Grassmannians, Firenze (Italy) April 4 - May 7 2000, lectures by E. Arrondo;
    • Riemann surfaces, sheaves and cohomology, vector bundles and Chern classes, Firenze (Italy) October 2000-January 2001, lectures by G. Ottaviani;
    • Introduction to quantum cohomology, Firenze (Italy) December 2000- April 2001 lectures by V. Ancona;
    • PRAGMATIC 2001, Catania (Italy) June 11-29, 2001, lectures by C. Ciliberto and R. Miranda;
    • EAGER 2001 Advanced School in Algebraic Geometry, Levico Terme (Trento) August 31-September 5 2001, lectures by L. Caporaso, J. Harris and I. Morrison;
    • Autumn School in Algebraic Geometry "Group actions and moduli of vector bundles" , Wykno (Poland) September 9-15 2001, lectures by G. Ottaviani and J. Vallès;
    • SCUOLA MATEMATICA INTERUNIVERSITARIA -Corso Estivo di Matematica -Algebraic Geometry: "Representation theory and projective geometry", Cortona (Italy) June 29 - July 12, 2003, lectures by J.M.  Landsberg and L. Manivel;
    • International school on Projective Algebraic Geometry, Anacapri, June 1-5, 2004, lectures by L.Chiantini, C.Ciliberto, A.Geramita, R.Miranda, A.Verra;
    • Representation theory and Complex Analysis, C.I.M.E. course, Venezia, June 10-17 2004;
    • Séminaire de mathématiques superieures, NATO Advanced Study Institute `` Morse theoretic methods in non-linear analysis and symplectic topology'' Montréal, Canada June 21 - July 2, 2004;
    • Enumerative invariants in algebraic geometry and string theory , C.I.M.E. course, Cetraro (CS), Italy, June 6-11, 2005.

     
     
  8. Other scientific activities
    • Member of Gruppo Nazionale per le Strutture Algebriche e Geometriche e loro Applicazioni (GNSAGA) dell'INDAM
    • Member of UMI
    • Reviewer for the AMS (Algebraic Geometry).