Pietro Capovilla

I am a PhD student in Mathematics at Scuola Normale Superiore, in Pisa, under the supervision of Roberto Frigerio.

I study geometry and topology. My favorite topological invariants are bounded cohomology and simplicial volume.

       

    Preprints:

  1. On the (super)additivity of simplicial volume (arXiv).

    Publications:

  2. Combination of open covers with pi_1-constraints (with Clara Löh and Kevin Li), To appear in Bull. Lond. Math. Soc. (arXiv).

  3. Amenable covers and relative bounded cohomology, Proc. Am. Math. Soc. 153 (2025), 2239-2253 (journal) (arXiv).

  4. The action of mapping class groups on de Rham quasimorphisms (with Giuseppe Bargagnati, Federica Bertolotti and Francesco Milizia), Geom. Dedicata 218 (106) (2024) (journal) (arXiv).

  5. Amenable category and complexity (with Clara Löh and Marco Moraschini), Algebr. Geom. Topol. 22 (3) (2022), 1417-1459 (journal) (arXiv).

       

Contacts

Address:

Scuola Normale Superiore
Piazza dei Cavalieri 7
56126 Pisa, Italy

E-mail: pietro (dot) capovilla (at) sns (dot) it

Personal webpage at Scuola Normale Superiore.