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.
Five useless facts about me
- I performed in the play Mathopoly: an academic dystopia (FULL VIDEO).
- I made a visual novel videogame for my friends' Bachelor graduation (caveat: the game is in Italian and full of dull inside jokes).
- I'm supporting several charity organisations, including Amref, Amnesty International, and Save the Children.
- As a child, I uploaded some Minecraft gameplays on Youtube.
- 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. If you want to have a more in-depth overview, you can see the final reports of my first and second years of PhD.
Publications:
- with Alessandro Sisto: Rigidity of Mapping Class Groups mod Powers of Twists, Proc. R. Soc. Edinb., Sect. A, Math, 2025. An expanded version, which is also my Master's thesis, can be found here.
Preprints:
- with Oli Jones and Giovanni Sartori: A combination theorem for the twist conjecture for Artin groups, preprint, 2025 (Version with quote).
- with Oli Jones and Giovanni Sartori: JSJ decompositions for all Artin groups, preprint, 2025 (Version with quote).
- with Francesco Fournier-Facio and Alessandro Sisto: Bounded cohomology, quotient extensions, and hierarchical hyperbolicity, preprint, 2025 (Version with quote).
- 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.
Where to find me next:
From the 8th to the 13th September I'll be at the Ventotene International Workshop.Registered talks:
- (16/04/2025) G&T Seminar in Harbin (China). The FIRST LECTURE is an handwavy introduction to hierarchical hyperbolicity, while the SECOND LECTURE focuses on random quotients of mapping class groups.
- (06/06/2024) "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).