I am a PostDoc at the University of Regensburg, Germany, in the research group of Clara Löh, sponsored by the SFB 1785.
Previously, I was a PostDoc at the University of Cyprus in the research group of Christoforos Neofytidis.
I did my PhD at Scuola Normale Superiore, in Pisa, under the supervision of Roberto Frigerio.

I am interested in geometry and topology.

       

Preprints:

1. Aspherical 4-manifolds with positive Euler characteristic and their geography (arXiv).

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

   Publications:

3. Combination of open covers with pi_1-constraints (with Clara Löh and Kevin Li), Bull. Lond. Math. Soc. 57 (2025), 3886-3901 (journal) (arXiv).

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

5. 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).

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

       

Contacts

Address:

Universität Regensburg
Fakultät für Mathematik
Office M307
93040 Regensburg, Germany

E-mail: Pietro.Capovilla (at) mathematik.uni-regensburg.de