In am interested in the dynamic of measure prerving actions of groups on measure spaces and on their (co)homological invariant. This is the main topic of Measured Group Theory, a field lying at the interline between dynamic, ergodic theory and geometric group theory. I recommend Furman's survey for a beatiful introduction to this topic.
My research interests include rigidity of measurable cocycles, measured groupoids and equivalence relations, boundaries and boundary maps, bounded cohomology and simplicial volume, measured foliations, orbit equivalences and measure equivalences.
Bounded cohomological induction for transverse groupoids, (with T. Hartnick), 2025, in preparation.
Simplicial volume via foliated simplices and duality, 2025, arXiv .
Measurable bounded cohomology of t-discrete measured groupoids via resolutions, (with A. Savini), 2025, arXiv .
Measurable bounded cohomology of measured groupoids, (with A. Savini), 2023, arXiv .
Boundaries and equivariant maps of ergodic groupoids (with A. Savini), Glasgow Mathematical Journal (2025), arXiv, DOI.
Boundary maps and reducibility for cocycles into the isometries of CAT(0)-spaces, (with A. Savini), Groups, Geometry and Dynamics 19 (2025), n. 3, 1013-1040, arXiv, DOI.
Bounded cohomology classes of exact forms, (with L. Battista, S. Francaviglia, M. Moraschini and A. Savini), Proceedings of the American Mathematical Society 152 (2024), 71-80, arXiv, DOI.
Parametrized Kähler class and Zariski dense orbital 1-cohomology, (with A. Savini), Mathematical Research Letters 30 (2023), 1895-1929, arXiv, DOI .
Superrigidity of maximal measurable cocycles of complex hyperbolic lattices, (with A. Savini), Mathematische Zeitschrift 300 (2022), n.1, 421-443, arXiv, DOI.
Counting surface branched covers, (with C. Petronio), Studia Scientiarum Mathematicarum Hungarica 56(3) (2019), 309-322, arXiv, DOI.
The Proportionality Principle via Hyperbolic Geometry, in C. Campagnolo, F.Fournier-Facio, N. Heuer & M. Moraschini (Eds.), Bounded Cohomology and Simplicial Volume, London Mathematical Society Lecture Note Series (2022), 20-27 DOI.
Numerical invariants for measurable cocycles, PhD thesis, Bologna (2022), pdf.