My studies mostly fit into the setting of geometric and combinatorial group theory.
I am currently interested in:
Thompson groups and their generalizations,
Fractals and their homeomorphisms,
Rearrangement groups of fractals,
Decision problems in groups,
Self-similar groups,
Image of the fractal at the end of the animation by J. Belk
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
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
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
4 : Invariable Generation of Groups of Homeomorphisms
joint work with Neelam and Davide Perego
arXiv preprint (2026)
3 : Conjugacy and period in symmetric diagram groups
arXiv preprint (2026)
2 : Limit spaces of vertex and edge replacement systems
joint work with Davide Perego
arXiv preprint (2025)
1 : Eventually Self-Similar Groups acting on Fractals
joint work with Davide Perego
arXiv preprint (2024)
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)
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
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
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 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
Reviewer for MathSciNet