Here is a list of my research works.
In Preparation:
Preprint:
1) (Joint with Xander Faber) Compressive Domains and a Bound for the Number of Components of the Fixed Locus of a Self-Map of the Berkovich Line (2026). (submitted)
2) (Joint with Xander Faber) Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line. (2026). (submitted)Â
3) Connected components of Berkovich fixed locus : Potential good reduction. (2025). (submitted)
4) On irreducibility of prefixed algebraic sets in moduli spaces of prime degree polynomials. (2023). (submitted)
Accepted in Journal:
5) Irreducibility of eventually $2$-periodic curves in the moduli space of cubic polynomials. (2023). Accepted in Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 2025. (arXiv Version)
Here is a link to my Ph.D. thesis. Hope you enjoy it.