Interests

Here, you will find some of my mathematical work. I am mainly interested in geometry and topology, but I also like to meddle in functional analysis and mathematical logic.

Some of my main interests are:

• Bounded cohomology and simplicial volume;
• Hyperbolic and negative curvature geometry;
• Geometric and analytic group theory;

For non-mathematicians

Click here if you want a non-technical explanation of my mathematical interests.

You will find:

• What I like;
• Why you should care about mathematics.

Seminars

Here, you will find the slides and transcripts for some seminars I gave during my Master's degree. Most of them are in Italian, but feel free to take a look nonetheless:

• Elementi di Analisi Complessa: Cousin's Problems (slides)
• Topologia Algebrica A: Bott's Periodicity Theorem (slides)
• Geometria Algebrica B: The Atiyah-Bott Formula (slides)
• Geometria Differenziale Complessa: Period Maps and Period Domains (transcript)
• Geometria Iperbolica: Mostow's Rigidity Theorem (transcript)
• Metodi Numerici per la Grafica: An Obstruction to the \(C^2\) Continuity of B-spline curves on Riemannian Manifolds (slides)
• Heegaard Splittings and Handle Numbers: A Morse-theoretic Proof of the Reidemeister-Singer Theorem (transcript) [EN]
• 3-Manifolds, Decorated Triangulations and Quantum Invariants: Pseudo-developing Map for Ideally Triangulated Manifolds (slides)