Postdoctoral Fellow at Weizmann Institute of Science

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

(advisor: Daniel Disegni).

Email: Francesco [dot] Saettone {at} weizmann [dot] ac [dot] il

Research

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

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

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

[8]

Preliminary Draft.

[7]

Preprint.

[6]

Preprint.

[5]

Preprint.

[4]

Annali di Matematica Pura e Applicata (2024).

[3]

Preliminary Draft.

[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)