Francesco Maria Saettone

Postdoctoral Fellow at the Weizmann Institute of Science, from October 2024.

Ph.D., Ben-Gurion University of the Negev, 2025.
Advisor: Daniel Disegni .

Research

Research-related image

My research interests lie in number theory and geometry, especially in the arithmetic questions that arise at their intersection.

My thesis consists of preliminary versions of [7] and [8] below.

Papers and Preprints

Please note that the versions linked here may differ from the journal versions.

  1. Duke for Drinfeld. [Arxiv] Preprint.
  2. A note on equidistribution on a product of Shimura curves and André–Oort. [Arxiv] Rendiconti del Circolo Matematico di Palermo, to appear.
  3. Equidistribution of CM points on Shimura curves and ternary theta series. [Arxiv] Preprint.
  4. Equidistribution of CM points on Shimura curves modulo a ramified prime. [Arxiv] Preprint.
  5. Procounting measures and the Bateman–Horn conjecture. With Ignazio Longhi and Luca Demangos. [Arxiv] Preprint.
  6. Polylogarithmic motivic Chabauty-Kim for P1 \ {0, 1, ∞}: the geometric step via resultants. With David Jarossay, David T.-B. G. Lilienfeldt, Ariel Weiss, and Sa'ar Zehavi. [Arxiv] Algebra & Number Theory, to appear.
  7. The fundamental group of surfaces parametrizing cuboids. With David Jarossay and Yotam Svoray. [Arxiv] Preprint.
  8. Heights and transcendence of p-adic continued fractions. With Ignazio Longhi and Nadir Murru. [Arxiv] Annali di Matematica Pura ed Applicata, 2024.
  9. Coset topologies on Z and arithmetic applications. With Ignazio Longhi and Yunzhu Mu. [Arxiv] Expositiones Mathematicae 41, no. 1, 71–114, 2023.
  10. A novel RSA-like cryptosystem based on a generalization of the Rédei rational functions. With Nadir Murru. [PDF] In Number-Theoretic Methods in Cryptology, First International Conference, NuTMiC 2017, Warsaw, Poland, September 11–13, 2017. Revised selected papers. Lecture Notes in Computer Science 10737, 91–103, Springer, 2018.

Seminars