My studies mostly fit into the setting of geometric and combinatorial group theory.
I am currently interested in:
Embedded Files
Image of the fractal at the end of the animation by J. Belk
Publications
Publications
8 - Orderable Thompson-like groups arising from Ore categories
joint work with Davide Perego
In J. Algebra (2026)
arXiv link
7 - Topological Full Groups of Irreducible Edge Shifts have Solvable Conjugacy Problem
arXiv preprint (2025), to appear in Proc. Edinb. Math. Soc.
arXiv link
6 - Homeomorphism groups of basilica, rabbit and airplane Julia sets
joint work with Bruno Duchesne
In J. Éc. polytech. Math. 13 (2026), pp 255-320
arXiv link
5 - Conjugacy in Rearrangement Groups of Fractals
arXiv preprint (2023), to appear in Israel J. Math.
arXiv link
4 - On Thompson Groups for Wazewski Dendrites
In: Math. Proc. Cambridge Philos. Soc. 179.1 (2025), pp. 189-231
arXiv link
3 - Rational Gluing in Edge Replacement Systems
In: Internat. J. Algebra Comput. 35.1 (2025), pp. 81-96
joint work with Davide Perego
arXiv link
2 - 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
1 - 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
Preprints
Preprints
2 - Limit spaces of vertex and edge replacement systems
joint work with Davide Perego
arXiv preprint (2025), submitted
1 - Eventually Self-Similar Groups acting on Fractals
joint work with Davide Perego
arXiv preprint (2024), submitted
Others
Others
- Rearrangement groups of fractals and Thompson groups
Notes for minicourse at Random walks on groups, groups acting on fractals (2025)
- Rearrangement Groups of Fractals: Structure and Conjugacy
My PhD thesis (2024)
Talks I gave
Talks I gave
2nd Joint Meeting Brazil-Italy in Mathematics, invited talk - 8 September 2026
Rauzy seminar (Marseille), invited talk - 29 May 2026
Seminar in complex dynamics, invited talk - 17 April 2026
Séminaire de Topologie et Dynamique (Université Paris-Saclay), invited talk - 26 March 2026
Séminaire de Géométrie, Algèbre, Algèbres d’opérateurs (Université Clermont Auvergne), invited talk - 24 March 2026
Groups and topological Groups 2026, contributed talk - 16-17 January 2026
Séminaire "Groupes et géométrie" (Université de Genève), invited talk - 7 October 2025
Young Researchers Algebra Conference 2025, contributed talk - 5 September 2025
Advanced Seminar on Group Theory (Heinrich Heine University Düsseldorf), invited talk - 8 July 2025
Max Dehn seminar (University of Utah), invited talk - 4 June 2025
AlBicocca (algebra seminars in Milano-Bicocca), invited talk - 14 May 2025
Minicourse (3 lectures) "Rearrangement groups of fractals and Thompson groups" at the workshop Random walks on groups, groups acting on fractals - 5-7 May 2025
Groups and Actions seminar (Université Paris-Saclay), invited talk - 17 February 2025
World of GroupCraft IV, invited talk - 9 September 2024
New trends in self-similarity of groups, trees and fractals, invited talk - 23-24 July 2024
Group Theory in Florence IV, contributed talk - 1-3 July 2024
Insalata di Matematica (PhD seminars in Milano-Bicocca), invited talk - 9 May 2024
SPIEDini (PhD seminars in Florence), invited talk - 14 March 2024
Groups and Actions seminar (Université Paris-Saclay), invited talk - 12 February 2024
GAGTA 2024, contributed talk - 5-9 February 2024
Congresso UMI, Algebra section, contributed talk - 4-9 September 2023
Teoria dei Gruppi a Paestum, contributed talk - 6-7 July 2023
Groups and Topological Groups, contributed talk- 15-16 June 2023
Manifolds and groups in Bologna workshop, invited talk - 22-23 March 2023
Geometry and Topology Seminar of the University of Glasgow, invited talk - 6 February 2023
Group Theory seminar of ENS, Paris, invited talk - 19 October 2022 (recording here)
BiLux 2022, contributed talk - 3-4 Ocotber 2022
Events I organized
Events I organized
GABY 2024 (biennial algebra workshop at Milano-Bicocca) - June 2024
AlBicocca (Algebra seminars of Milano-Bicocca) - 2023-2025
Insalate di Matematica (seminars at Milano-Bicocca organized by PhD students) - 2022-2024
GABY 2022 (biennial algebra workshop at Milano-Bicocca) - June 2022
Other conferences I attended
Other conferences I attended
Operator Algebras: Groups and Dynamics at at IHP, Paris - September 2026
3èmes Journées trans-Couesnon at at Caen - Mars 2026
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 I did
Teaching I did
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
Miscellanea
Miscellanea
Journal referee for Ars Combinatoria
Journal referee for Results in Nonlinear Analysis
Reviewer for MathSciNet
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