My studies mostly fit into the setting of geometric and combinatorial group theory.
I am currently interested in:
My studies mostly fit into the setting of geometric and combinatorial group theory.
I am currently interested in:
Image of the fractal at the end of the animation by J. Belk
Conjugacy in Rearrangement Groups of Fractals
arXiv preprint (2023), accepted in Israel J. Math. (2025)
On Thompson Groups for Wazewski Dendrites
In: Math. Proc. Cambridge Philos. Soc. 179.1 (2025), pp. 189-231
arXiv link
Rational Gluing in Edge Replacement Systems
In: Internat. J. Algebra Comput. 35.1 (2025), pp. 81-96
joint work with Davide Perego
arXiv link
A Class of Rearrangement Groups that are not Invariably Generated
In: Bull. London Math. Soc. 56.6 (2024), pp. 2115–2131
joint work with Davide Perego
arXiv link
Generation and Simplicity in the Airplane Rearrangement Group
In: Groups Geom. Dyn. 18.2 (2024), pp. 603–634
adapted from my master thesis
arXiv link
Limit spaces of vertex and edge replacement systems
joint work with Davide Perego
arXiv preprint (2025), submitted
Topological Full Groups of Irreducible Edge Shifts have Solvable Conjugacy Problem
arXiv preprint (2025), submitted
Orderable Thompson-like groups arising from Ore categories
joint work with Davide Perego
arXiv preprint (2025), submitted
Homeomorphism groups of basilica, rabbit and airplane Julia sets
joint work with Bruno Duchesne
arXiv preprint (2025), submitted
Eventually Self-Similar Groups acting on Fractals
joint work with Davide Perego
arXiv preprint (2024), submitted
My PhD thesis
Rearrangement Groups of Fractals: Structure and Conjugacy
is available on the arXiv at this link
Young Researchers Algebra Conference 2025, contributed talk - 5th September 2025
Advanced Seminar on Group Theory (Heinrich Heine University Düsseldorf), invited talk - 8th July 2025
Max Dehn seminar (University of Utah), invited talk - 4th June 2025
AlBicocca (algebra seminars in Milano-Bicocca), invited talk - 14th May 2025
Minicourse (3 lectures) "Rearrangement groups of fractals and Thompson groups" at the workshop Random walks on groups, groups acting on fractals - 5th-7th May 2025
Groups and Actions seminar (Université Paris-Saclay), invited talk - 17th February 2025
World of GroupCraft IV, invited talk - 9th September 2024
New trends in self-similarity of groups, trees and fractals, invited talk - 23-24th July 2024
Group Theory in Florence IV, contributed talk - 1st-3th July 2024
Insalata di Matematica (PhD seminars in Milano-Bicocca), invited talk - 9th May 2024
SPIEDini (PhD seminars in Florence), invited talk - 14th March 2024
Groups and Actions seminar (Université Paris-Saclay), invited talk - 12th February 2024
GAGTA 2024, contributed talk - 5th-9th February 2024
Congresso UMI, Algebra section, contributed talk - 4th-9th September 2023
Teoria dei Gruppi a Paestum, contributed talk - 6-7th July 2023
Groups and Topological Groups, contributed talk- 15th-16th June 2023
Manifolds and groups in Bologna workshop, invited talk - 22nd-23rd March 2023
Geometry and Topology Seminar of the University of Glasgow, invited talk - 6th February 2023
Group Theory seminar of ENS, Paris, invited talk - 19th October 2022 (recording here)
BiLux 2022, contributed talk - 3rd-4th Ocotber 2022
GABY 2024 (biennial algebra workshop at Milano-Bicocca) - June 2024
AlBicocca (Algebra seminars of Milano-Bicocca) - 2023-ongoing
Insalate di Matematica (seminars at Milano-Bicocca organized by PhD students) - 2022-2024
GABY 2022 (biennial algebra workshop at Milano-Bicocca) - June 2022
GAGTA 2025 at Stevens Institute of Technology - June 2025
Rigidity of isometric actions at CIRM - March 2025
Group Theory in Salerno at University of Salerno - March 2025
Analytic and Arithmetic Groups Summer school at HHU Düsseldorf - August 2024
Young Geometric Group Theory XII at University of Bristol - April 2024
Discrete Mathematics and Computer Science at CIRM - January / February 2024
Groups of Thompson and their relatives at University of Magdeburg - September 2023
North British Geometric Group Theory Seminar at University of Glasgow - April 2023
Young Geometric Group Theory XI at University of Münster - February 2023
Discrete and locally compact groups: geometry and analysis at ENS, Lyon - November 2022
Marc Burger's Prime at ETH, Zurich - May / June 2022
Self-similarity of groups, trees and fractals at IHP, Paris - June / July 2022
Graduate School on Geometric Group Theory and Low Dimensional Topology at ICMAT, Madrid - May 2022
Young Geometric Group Theory X (online) - July 2021
GAGTA 2021 (online) - June 2021
Teaching support for Logica e Algebra at Politecnico di Milano, Scuola di Ingegneria Industriale e dell'Informazione - AY 2023/24
Tutoring for Istituzioni di Matematica 1 at Milano-Bicocca, Scuola d Ottica e Optometria - AY 2023/24
Journal referee for Results in Nonlinear Analysis