Stefano Francaviglia
Dipartimento di Matematica of the University of Bologna
P.zza Porta S. Donato 5, 40126 Bologna (Italy)
Tel: +39 051 2094402, Fax: +39 051 2094490
Kindly supported also by D.M.A. of the University of Pisa
tel. +39 050 2213844, fax +39 050 2213802
e-mail: francavi(at)dm.unibo.it
mobile phones: +34 600 85 83 25, +39 333 9417479
DIDATTICA: Materiale, Orari, Info et Cetera
Short CV . Pubblications . Links . Teaching
  • Family name: Francaviglia
  • First name: Stefano
  • Date of birth: August 19, 1973
  • Place of birth: Pistoia, Italy
  • Citizenship: Italian
  • Languages known: Catalan, English, French, Italian, Portuguese, Spanish

  • Research field: Geometry and Topology of low-dimensional manifolds, Geometric Group Theory


    • Positions and titles

  • 2008, November 1 - Today. Ricercatore (Research Fellow) at the Departement of Mathematics of the AMS , which is the University of Bologna.

  • February 2007 - October 2008. Assegnista (Research Fellow) at the D.M.A. of the Univ. of Pisa.

  • February 2005 - January 2007. Marie Courie Intra European Fellowship at the Departament de Matemàtiques de la UAB.

  • July 2003 - February 2005. INdAM research fellow at the DMA (Dept. of Appl. Math.) of the University of Pisa.

  • May 21, 2004. PhD in Mathematics at the Scuola Normale Superiore of Pisa,
    Thesis "Hyperbolicity equations for cusped $3$-manifolds and volume-rigidity of representations" approved cum laude,
    advisor: Prof. C. Petronio (Dept. of Appl. Math. Univ. of Pisa)

  • January-June, 2003. Visiting student at the C.R.M. of Barcelona.

  • March-June, 2002. Visiting student at the University of Barcelona.

  • 1998-2001. PhD student at the Scuola Normale Superiore of Pisa.

  • 1993-1998. Degree in Mathematics at the University of Pisa,
    Thesis "Foliations on 3-manifolds" approved cum laude,
    advisor: Prof. R. Benedetti (Dept. of Math. Univ. of Pisa)
  1. (With Jean-François Lafont) Large scale detection of half-flats in CAT(0)-spaces.
    Preprint, December 2009. Available version arXiv:0912.1172 (here an up to date .pdf file)

  2. (With Armando Martino) The isometry group of Outer Space.
    Preprint, December 2009. Available version arXiv:0912.0299 (here an up to date .pdf file)

  3. (With Armando Martino) Metric Properties of Outer Space.
    Preprint, March 2008. Available version arXiv:0803.0640 (here an up to date .pdf file)

  4. (With Jean-François Lafont) Asymptotic cones, bi-Lipschitz ultraflats, and the geometric rank of geodesics.
    Preprint, January 2008. Available version arXiv:0801.3636 (here an up to date .pdf file)

  5. (With Joan Porti) Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots.
    Pacific Journal of Mathematics 238 (2008), No. 2, 249-274. Available on line at the PJM web site (.pdf file)

  6. Geodesic currents and length compactness for automorphisms of free groups.
    Trans. of AMS 361(1) 2009, 161-176. Available on line at the TAMS web site (.pdf file)

  7. (With Benjamin Klaff) Maximal volume representations are Fuchsian.
    Geometriae Dedicata (2006) 117:111-124. Available on line at the GD web site. (.pdf file)

  8. Constructing equivariant maps for representations.
    Annales de l'institut Fourier (2009) 59(1):393-428. Available on line at the AIF web site. (.pdf file)

  9. Algebraic and geometric solutions of hyperbolicity equations.
    Topology and its Applications, 145(1-3):91--118, 2004. Available on line at the TAIA web site. (.pdf file)

  10. Hyperbolicity equations for cusped 3-manifolds and volume-rigidity of representations.
    Collana Tesi (Nuova Serie) vol 2, Edizioni Scuola Normale Superiore di Pisa, 2005. (.pdf file)

  11. Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds.
    Int. Math. Res. Not., (9):425--459, 2004. Available on line at the IMRN web site. (.pdf file)

  12. Similarity structures on the torus and the Klein bottle via triangulations.
    Advances in Geometry, 6(3):397--421, 2006. Available on line at the Adv. Geom. web site. (.pdf file)

  13. Tautness of codimension-1 foliations in dimension 3 and transversality with embedded surfaces.
    Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5), 24:121--157, 2000. (.pdf file)