About me
I am a second-year PhD student at Heriot-Watt University (Edinburgh), under the supervision of Alessandro Sisto. Previously, I was awarded a Studentship at the Scuola Normale Superiore of Pisa, and I completed a Master's degree at the University of Pisa.
Here you can find my CV in English and in Italian.
Research
I work in Geometric Group Theory, and I especially study Hierarchically Hyperbolic Spaces, which are those spaces sharing the same "hyperbolic features" as Mapping Class Groups of surfaces (for an overview on HHS see e.g. this survey by my supervisor). My PhD project investigates which algebraic, geometric, and algorithmic properties of a HHG can be detected by looking at its quotients, and conversely which features of a HHG are enjoyed by its quotients.
Papers and preprints:
- with Alessandro Sisto: Short hierarchically hyperbolic groups II: quotients and the Hopf property for Artin groups, preprint, 2024 (Version with quote).
- Short hierarchically hyperbolic groups I: uncountably many coarse median structures, preprint, 2024.
- A combination theorem for hierarchically quasiconvex subgroups, and application to geometric subgroups of mapping class groups, preprint, 2024.
- Rigidity Results for Large Displacement Quotients of Mapping Class Groups, preprint, 2023.
- with Mark Hagen and Alessandro Sisto: A Combinatorial Structure for Many Hierarchically Hyperbolic Spaces, preprint, 2023.
- with Alessandro Sisto: Rigidity of Mapping Class Groups mod Powers of Twists, preprint, 2022. An expanded version, which is also my Master's thesis, can be found here.
Where to find me next:
On 11th December 2024 I will perform in the play Mathopoly: an academic dystopia at the Bayes centre (Edinburgh)Registered talks:
- (06/06/2022) "World of GroupCraft" minitalk, about a combination theorem for geometric subgroups of mapping class groups (VIDEO)
- (28/05/2024) Advancements in Hierarchical Hyperbolicity, on some properties of quasi-isometries in hierarchically hyperbolic groups (VIDEO)
Teaching material:
- Solutions for the 2024-25 Topology course (prof. Alessandro Sisto). I shall try to update them weekly.