Publications
Counting rational points on elliptic curves with a rational $2$-torsion point (2021), journal.
The Arithmetic of critical values I: equicritical quartic polynomials (2024), journal.
Preprints
Finding the complement of an elliptic curve inside a Jacobian (2026), with A. Gallese, D. Lombardo and U. Zannier, submitted.
The Arithmetic of critical values II: critical elliptic curves and applications (2026).
Selmer companions and visible elements in the Tate-Shafarevich group, in preparation.
High ranks in quadratic twist families of elliptic curves and character sums of polynomials, in preparation.
Invited Talks
Critical values of polynomials via (hyper)elliptic curve arithmetic at the 33rd Journées Arithmétiques in Luxembourg, July 2025
Polynomials, branching points, and (hyper)elliptic curves at the VI number theory PhD students day in Rome, May 2025.
On the arithmetic of critical values of polynomials, at the ETH Number Theory Seminar in Zürich, February 2025.
The Hurwitz space of degree $4$ polynomials, at the Study days on Diophantine Geometry in Cetraro, August 2024.