I am a post-doc in Neuchâtel, in the Research Unit “Hyperbolic
Geometry and Combinatorial Structures” supervised by Sasha Kolpakov.

I was a research fellow (and before a PhD student) in Pisa, but sometimes you may still find me there.

**Interests:** geometric topology, hyperbolic geometry, low-dimensional topology.

More specifically: hyperbolic 4-manifolds, deformations of geometric
structures, geometric boundaries, Coxeter groups and polytopes, surfaces' minimal spines.

**Papers:**

*Four-dimensional geometric transition*, with Andrea Seppi.

In preparation; see here for a brief description.*Counting cusped hyperbolic three-manifolds that bound geometrically*, with Sasha Kolpakov.

Submitted. ArXiv preprint here.*Many cusped hyperbolic 3-manifolds do not bound geometrically*, with Sasha Kolpakov and Alan Reid.

To appear in*Proceedings of the American Mathematical Society*.

ArXiv preprint here.*New hyperbolic 4-manifolds of low volume*, with Leone Slavich.

To appear in*Algebraic & Geometric Topology*.

ArXiv preprint here.*Hyperbolic Dehn filling in dimension four*, with Bruno Martelli.

*Geometry & Topology*22 (2018), 1647-1716.

Published version here, ArXiv version here.*Spines of minimal length*, with Bruno Martelli, Matteo Novaga and Alessandra Pluda.

*Annali della Scuola Normale Superiore di Pisa, Classe di Scienze*XVII (2017), 1067-1090.

Published version here, ArXiv version here.

Supervisor: Bruno Martelli. Referees: Steven Kerckhoff and Joan Porti.

There, you can also find an introduction to hyperbolic cone-manifolds of arbitrary dimension.

*Last update: February 2019*