GIACOMO BORIN

Hello, I’m Giacomo. I enjoy Algebra and Cryptograph. Currently, I am pursuing a Ph.D. at the University of Zurich in the Applied Algebra group, while also working as a Pre Doc researcher at IBM Research Zurich within the Foundations of Cryptography group, under the supervision of Luca De Feo.

My mathematical pursuits primarily revolve around isogenies and isomorphism problems associated with coding theory. The objective of my research is to leverage these mathematical tools to establish innovative functionalities for cryptographic schemes, mainly threshold systems, based on quantum-resistant assumptions.

Here, you can find my:

• email: crypto at gbor dot in;
• github: @giacomoborin;
• publications;
• talks;
• teaching records;
• full CV;
• portfolio of some selected projects.

Discalimer: opinions are my own.

📝 PUBLICATIONS

6. PRISM: Simple and Compact Identification and Signatures from Large Prime Degree Isogenies., A. Basso, G. Borin, W. Castryck, M. C.-R. Santos, R. Invernizzi, A. Leroux, L. Maino, F. Vercauteren, B. Wesolowski, PKC 2025.
   (🏆 Best paper award) [paper] [code]
5. Enhancing Threshold Group Action Signature Schemes: Adaptive Security and Scalability Improvements, M. Battagliola, G. Borin, G. Di Crescenzo, A. Meneghetti, E. Persichetti, PQCrypto 2025. [paper]
4. Erebor and Durian: Full Anonymous Ring Signatures from Quaternions and Isogenies, G. Borin, Y. Lai, and A. Leroux, IACR CiC. [paper] [code]
3. On the Semidirect Discrete Logarithm Problem in Finite Groups, C. Battarbee, G. Borin, R. Cartor, N. Heninger, D. Jao, D. Kahrubaei, L. Maddison, E. Persichetti, A. Robinson, D. Smith-Tone, R. Steinwandt, ASIACRYPT 2024. [paper]
2. A Guide to the Design of Digital Signatures based on Cryptographic Group Actions, G. Borin, E. Persichetti, P. Santini, F. Pintore and K. Reijnders, Journal of Cryptology. [paper]
1. Cutting the GRASS: Threshold GRoup Action Signature Schemes, M. Battagliola, G. Borin, A. Meneghetti, E. Persichetti, CT-RSA 2024. [paper]

🙊 TALKS (selected)

• 2025-07: PRISM: Simple And Compact Identification and Signatures From Large Prime Degree Isogenies, SIAM-AG 2025. [more]
• 2025-01: Erebor and Durian: Full Anonymous Ring Signatures from Quaternions and Isogenies, JMM 2025. [more]
• 2024-07: Cryptographic Corollaries of the Classification of Finite Simple Groups, NIST Crypto Reading Club. [url], [more]
• 2023-11: Additional Functionalities for Code-Based Group Actions, University of St. Gallen. [more]
• 2022-05: Commutative Algebra and Coding Theory, University of Trento - Advanced Commutative Algebra lecture. [more]
• 2022-04: Why do we need Cryptography?, Collegio Clesio - In a Nutshell. [more]
• 2021-12: Coding Theory Cryptography and LEDAcrypt implementation, University of Trento - Applied Crptography lecture. [more]

📚 TEACHING

• 2025: TA for Kryptographie, University of Zurich, Institute of Mathematics. [more]
• 2024: TA for Codierungstheorie, University of Zurich, Institute of Mathematics. [more]
• 2021-2022: GTA for Linear Algebra & Calculus, University of Trento, Departments of Math & Physics. [more]

📍 PORTFOLIO

• MSC Thesis: Cryptographic Group Actions and Digital Signatures, with a focus on Code Equivalence Problems. [more]
• BSC Thesis: The Containment Problem, a general introduction and the particular case for Steiner systems. [more]
• The Greither unit index: an undergraduate overview and a sagemath implementation. [more]
• BeUnitn: A custom beamer theme for the Math Department in Università di Trento (unofficial). [more]