Research

This page collects an overview of my academic activity, including research papers, talks, teaching, and community involvement.

📄 Publications

A list of my papers and preprints, with brief summaries and links. Authors are listed in alphabetical order, following the standard convention in cryptography.

Fherret: Proof of FHE Correct-and-Honest Evaluation with Circuit Privacy from MPCitH

Cryptology ePrint Archive, 2025
J. Huth, A. Joux, G. Santato

A novel proof system based on MPC-in-the-Head that protects FHE clients from reaction-based attacks while preserving circuit privacy.
🔗 ePrint · (Github coming soon)

Dimensional eROSion: Improving the ROS Attack with Decomposition in Higher Bases

Cryptology ePrint Archive, 2025
A. Joux, J. Loss, G. Santato

We extend the polynomial ROS attack to work in lower dimensions using higher-base decompositions and some LLL magic.
🔗 ePrint · Github

On Circuit Private, Multikey and Threshold Approximate Homomorphic Encryption

IACR Communications in Cryptology, vol 2, issue 1
K. Kluczniak, G. Santato

We analyze how to achieve circuit privacy in approximate FHE and security in multiparty approximate FHE with noise flooding by proving that strong noise is essential, and encrypting the function is not adding security.
🔗 Published Version · Extended Version · FHE.org talk

Zeroes of p-adic L-functions: the Ellenberg-Jain-Venkatesh conjecture

Master’s Thesis, 2021
G. Santato. Supervisor: Jan Vonk

After a long introduction about p-adic L-functions, we discuss open conjectures on the distributions of the zeroes of family of p-adic L-functions corresponding to imaginary quadratic fields and we perform some numerical experiments to support these conjectures.
🔗Leiden University · Padova University

🎤 Talks

Some invited talks and presentations I’ve given related to my research work. For some of them, slides are available on request but most of the technical presentations were whiteboard talks.

• ROS Problem: Old and New Attacks
  CISPA Cryptography Seminar, March 2025
  First time using a new, non-polynomial notation, hopefully making the attack itself less confusing to write.

• Fherret: Proof of FHE Correct-and-Honest Evaluation with Circuit Privacy from MPCitH
  CISPA Cryptography Seminar, November 2024

• On Circuit Private, Multikey and Threshold Approximate Homomorphic Encryption
  FHE.org, Toronto (Canada), April 2024

• FHE 101: Technical Introduction to BGV/BFV and Bootstrapping
  CISPA Early-Career Cryptography Seminar, September 2023

• On Circuit Private, Multikey and Threshold Approximate Homomorphic Encryption
  CISPA Cryptography Seminar, March 2023

• A Small Survey on CKKS Applications and Related Techniques
  CISPA Cryptography Seminar, October 2022

• A Small Survey on Oblivious PRFs
  CISPA Cryptography Seminar, June 2022

👨‍🏫 Teaching

I’ve worked as a Teaching Assistant in the following university courses:

Saarland University (in English)

• Cryptography — taught by Antoine Joux and Lucjan Hanzlik — Summer Semester 2024/25
• Applied Multiparty Computation and Fully Homomorphic Encryption — taught by Kamil Kluczniak — Winter Semester 2022/23

University of Padova (in Italian)

• Geometria 1 — taught by Luisa Fiorot — Academic Year 2019/2020
• Analisi Matematica 1 — taught by Paolo Ciatti — Academic Year 2019/2020
• Calcolo 1 — taught by Paolo Ciatti — Academic Year 2019/2020

🤝 Community Service

Peer Review

• Sub-reviewer for cryptography venues including ASIACRYPT 2025, TCC 2025, CRYPTO 2025, EUROCRYPT 2024, and IEEE Transactions on Computers 2022

Mentoring & Supervision

• Co-supervised the Master’s thesis of Majdi Maalej with Sebastian Stich (Saarland University, 2025) on Benefits and Challenges of Leveled Homomorphic Encryption in Asynchronous Federated Learning