PhD student, Ben-Gurion University of the Negev (expected PhD 2024)

(advisor: Daniel Disegni).

Email: saettone [at] post.bgu.ac.il

Research

I am interested in the arithmetic of algebraic varieties and some related analytic objects. In particular, my research focuses on Shimura curves, automorphic forms, and Chabauty-Kim theory.

My thesis is an ongoing preliminary version of [7] and [8] below.

[8]

[6]

(Please note that the version here proposed may somehow differ from the journal version.)

[7]

Preprint.

[5]

Preprint.

[4] Heights and transcendence of p-adic continued fractions, (with Ignazio Longhi, Nadir Murru)[Arxiv]

Annali di Matematica Pura e Applicata (2024).

[3] A profinite theory of distribution: towards the Bateman-Horn conjecture, (with Ignazio Longhi, Luca Demangos) [preliminary draft]

Preprint.

[2] Coset topologies on Z and arithmetic applications, (with Ignazio Longhi, Yunzhu Mu)[Arxiv]

Expo. Math. 41, No. 1, 71-114 (2023).

[1] A novel RSA-like cryptosystem based on a generalization of the Redei rational functions, (with Nadir Murru) [pdf]

Kaczorowski, Jerzy (ed.) et al., Number-theoretic methods in cryptology. First international conference, NuTMiC 2017, Warsaw, Poland, September 11-13, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10737, 91-103 (2018).

p-adic heights and p-adic L-functions(2023-2024)