Papers

  • (with Filippo Mazzoli, Andrea Seppi, Andrea Tamburelli) "A null-hyperKähler structure on the space of minimal surfaces in the Half-Pipe 3-space", in progress.
  • "A metric uniformization model for the Quasi-Fuchsian space", submitted [ArXiv, 45 pages]
  • (with Andrea Seppi) "Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces", J. Éc. polytech. Math.9(2022), 581–600. [ArXiv, 17 pages]
  • (with Andrea Seppi) "On the Gauss map of equivariant immersions in hyperbolic space", J. Topol.15(2022), no.1, 238–301. [ArXiv, 55 pages]
  • (with Francesco Bonsante) "On immersions of surfaces into SL(2,C) and geometric consequences", Int. Math. Res. Not. IMRN(2022), no.12, 8803–8864.. [ArXiv, 57 pages]
  • "On PSL(2, C) and on the space of geodesics of H^3 as Riemannian holomorphic manifolds", Actes du séminaire Théorie Spectrale et Géométrie of Institut Fourier, Volume 35 (2017-2019), p. 9-21. [ArXiv, 12 pages]

PhD thesis

    "Immersions of surfaces into SL(2,C) and into the space of geodesics of Hyperbolic space", [ArXiv, 210 pages]

Talks and Organization

Organization

Given talks

  • "A metric uniformization of quasi-Fuchsian space", Luxembourg, May 2023.
  • "The holomorphic extension of the Weil-Petersson metric to the quasi-Fuchsian space", Nice, February 2023.
  • "Minimal Lagrangian maps between closed spherical cone surfaces are isometries", AMS-EMS-SMF 2022 congress, Grenoble, July 2022.
  • "Le mappe minimali lagrangiane tra superfici sferiche chiuse sono isometrie.", Pavia, June 2022.
  • "Immersions of surfaces into SL(2,C) as an approach to transition geometry" [telematic] Florida State University, March 2021.
  • "Families of equivariant immersions in H^3 with holomorphic holonomy" [telematic] Pangolin seminar, February 2021. [Youtube]
  • "Che forma ha un mondo perfetto? Un approccio alle varietà Riemanniane con molte simmetrie" [telematic] Se mi narri di Matematica, University of Pavia, June 2020.
  • "On immersions of surfaces in PSL(2,C) and on orthogonal structures on the complexified tangent bundle of surfaces" Geometry and Topology seminar, University of Luxembourg, October 2019.
  • "On immersions of surfaces into the space of geodesics of hyperbolic 3-space: a link between complex-valued metrics and projective structures" Séminaire Théorie Spectrale et Géométrie, Institut Fourier, Grenoble, April 2019.
  • "On immersions of surfaces in PSL(2,C) and on orthogonal structures on the complexified tangent bundle of surfaces" Geometry and Topology seminar, University of Luxembourg, November 2018.