RESEARCH INTERESTS
Self-similar groups and Schreier graphs, Thompson groups and their generalizations, hyperbolic groups, braid groups, recursive generations of graphs and their boundaries, world-problem and formal languages associated to groups.
Self-similar groups and Schreier graphs, Thompson groups and their generalizations, hyperbolic groups, braid groups, recursive generations of graphs and their boundaries, world-problem and formal languages associated to groups.
8. Horofunctions of infinite Sierpinski polygon graphs, joint work with D. D'Angeli, F. Matucci, E. Rodaro, submitted (arXiv)
7. Orderable Thompson-like groups arising from Ore categories, joint work with M. Tarocchi, submitted (arXiv)
6. On the subgroup membership problem in bounded automata groups, joint work with A. Bishop, D. D'Angeli, F. Matucci, Tatiana Nagnibeda, E. Rodaro, submitted (arXiv)
5. Eventually Self-Similar Groups acting on Fractals, joint work with M. Tarocchi, submitted (arXiv)
4. Context-free graphs and their transition groups, joint work with D. D'Angeli, F. Matucci, E. Rodaro, submitted (arXiv)
3. Rational Gluing in Edge Replacement Systems, joint work with M. Tarocchi, published in Int. J. Algebra Comput. (journal - arXiv)
2. Rationality of the Gromov Boundary of Hyperbolic Groups, submitted (arXiv)
1. Class of Rearrangement Groups that are not Invariably Generated, joint work with M. Tarocchi, published in Bull. London Math. Soc. (journal - arXiv)
0. Rationality of Boundaries, PhD Thesis, Joint PhD Program Università di Milano-Bicocca and Università di Pavia, 2023 (BOA - Bicocca Database)
Advisors: Jim Belk and Francesco Matucci
Proceedings of the conference “Groups & Algebras in Bicocca for Young algebraists” (GABY 2024), Advances in Group Theory and Applications, Volume 20, 2025