Stefano Francaviglia
Short CV . Pubblications . Links . Teaching

Dipartimento di Matematica of the University of Bologna
P.zza Porta S. Donato 5, 40126 Bologna (Italy)
Office: B2, Tel: +39 051 2094468, Fax (Department): +39 051 2094490
e-mail: stefano.francaviglia(at)unibo.it
mobile phone: +39 333 9417479

DIDATTICA: Materiale, Orari, Info et Cetera

IL PROBLEMA DI MATEMATICA


  • 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

  • 2014, September 15 - today. Professore Associato (Associate Professor) at the Departement of Mathematics of the AMS , which is the University of Bologna.

  • November 2008 - September 2014. Ricercatore (Permanent Research Fellow) at the Departement of Mathematics of the AMS , which is the University of Bologna.

  • February 2007 - October 2008. Assegnista (Temporary 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. On the connectivity of level sets of automorphisms of free groups, with applications to decision problems (With Armando Martino)
    Preprint, March 2017. Available version arXiv:1703.09945 (here a .pdf file)

  2. A transfer principle: from periods to isoperiodic foliations (With Gabriel Calsamiglia and Bertrand Deroin)
    Preprint, November 2015. Available version arXiv:1511.07635 (here a .pdf file)

  3. Stretching factors, metrics and train tracks for free products. (With Armando Martino)
    Illinois Journal of Mathematics 59(4), 2015 859-899 (Published in February 2017). Available online at the IJM project euclid web site (here a .pdf file)

  4. Spectral rigidity of automorphic orbits in free groups. Corrigendum. (With Mathieu Carette, Ilya Kapovich, and Armando Martino)
    Algebraic & Geometric Topology 14(5), 2014 3081-3088. Available on line at the A&GT web site (.pdf file)

  5. The oriented graph of graftings in the Fuchsian case. (With Gabriel Calsamiglia and Bertrand Deroin)
    arxiv:1205.6069. Published as:
    The oriented graph of multi-graftings in the Fuchsian case.
    Publicacions Matemàtiques 58(1), 2014, 31-46. Available on line at the Pub Mat web site (here a preprint .pdf file)

  6. Branched projective structures with quasi-fuchsian holonomy. (With Gabriel Calsamiglia and Bertrand Deroin)
    arXiv:1203.6038. Published as:
    Branched projective structures with Fuchsian holonomy.
    Geometry & Topology 18(1), 2014, 379-446. Available online at the G&T web site (.pdf file)

  7. Stable complexity and simplicial volume of manifolds. (With Roberto Frigerio and Bruno Martelli)
    Journal of Topology 5(4), 2012, 977-1010. Available on line at the JOTP web site (.pdf file)

  8. Spectral rigidity of automorphic orbits in free groups. (With Mathieu Carette, Ilya Kapovich, and Armando Martino)
    Algebraic & Geometric Topology 12(3), 2012, 1457-1486. Available on line at the A&GT web site (.pdf file)

  9. Large scale detection of half-flats in CAT(0)-spaces. (With Jean-François Lafont)
    Indiana University Mathematics Journal 59(2), 2010, 395-416. Available on line at the UIMJ web site (.pdf file)

  10. The isometry group of Outer Space. (With Armando Martino)
    Advances in Mathematics 231(3-4), 2012, 1940-1973. Available online at the AIM web site (here a preprint version .pdf file ask me if you are interested in the published version)

  11. Metric Properties of Outer Space. (With Armando Martino)
    Publicacions Matemàtiques 55(2), 2011, 433-473. Available on line at the Pub Mat web site(.pdf file)

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

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

  14. 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)

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

  16. 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)

  17. 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)

  18. 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)

  19. 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)

  20. 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)

  21. 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)