Luciano Maino
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Year 4 Student – 2020 Intake – Cohort 2 I am a PhD student at the University of Bristol, Centre for Doctoral Training in Cyber Security. Previously, I obtained my bachelor and master degrees in Mathematics. I am interested in post-quantum cryptography. Currently, I am focussing on isogeny-based cryptography, in particular on employing higher-dimensional objects in existing cryptosystems. Other interests include formal verification methods, computer algebra, algebraic number theory, and algebraic geometry. |
PhD Project |
Factoring Isogenies in Higher Dimension and Applications Recent advancements in quantum computing are undermining the security of the current public-key infrastructure. To counter this threat, a new branch of cryptography, called post-quantum cryptography, has emerged. The primary objective of post-quantum cryptography is to develop cryptosystems that can not only run on ordinary laptops but also remain resistant to quantum attacks. Some of the cryptosystems suggested so far rely on special maps, known as isogenies, between elliptic curves. Arguably, the most influential cryptosystem in this field is Supersingular Isogeny Diffie-Hellman (SIDH), which serves as the key exchange underlying the key encapsulation mechanism SIKE. SIKE was one of the most promising candidates in the NIST Post-Quantum standardisation process. Supervisors: Dr Chloe Martindale (Bristol), Dr Matthew Bisatt (Bristol), and Dr François Dupressoir (Bristol) |
PhD Poster |
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Events Attended |
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Year 1 Academic and Industry Placements |
Academic placement, Dr Chloe Martindale: Two-week placement to study isogenies between principally polarised abelian varieties. Industry placement, ARQIT: Three-week internship under the supervision of Dr Daniel Shiu. |
Internships |
Visiting Scholar, KU Leuven: Visiting scholar under the supervision of Dr Wouter Castryck to analyse the potential of isogenies between principally polarised abelian surfaces in cryptography. |
Publications / Presented Papers |
"FESTA: Fast Encryption from Supersingular Torsion Attacks.", with Andrea Basso, and Giacomo Pope. To appear in ASIACRYPT 2023. eprint version: https://eprint.iacr.org/2023/660
"Towards a Quantum-Resistant Weak Verifiable Delay Function.", with Thomas Decru, and Antonio Sanso. Progress in Cryptology – LATINCRYPT 2023. Lecture Notes in Computer Science, vol 14168. Springer, Cham. https://doi.org/10.1007/978-3-031-44469-2_8 "A Direct Key Recovery Attack on SIDH.", with Chloe Martindale, Lorenz Panny, Giacomo Pope, and Benjamin Wesolowski. Advances in Cryptology - EUROCRYPT 2023 - 42nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Lyon, France, April 23-27, 2023, Proceedings, Part V. https://doi.org/10.1007/978-3-031-30589-4_16 "A Review of Mathematical and Computational Aspects of CSIDH Algorithms.", with Marzio Mula, and Federico Pintore. To appear in Journal of Algebra and Its Applications, Special Issue on Recent Advancements in Coding Theory & Cryptography. (2023) https://doi.org/10.1142/S0219498825300028 "Mathematical and Computational aspects of CSIDH-based Algorithms", with Federico Pintore. Algebra For Cryptography, Aracne Editrice, Collectio Ciphrarum 1. (2021)
PREPRINT: "An Algorithmic Approach to (2,2)-isogenies in the Theta Model and Applications to Isogeny-based Cryptography.", with Pierrick Dartois, Giacomo Pope and Damien Robert. eprint version: https://eprint.iacr.org/2023/1747 |
Personal Research Website |
https://research-information.bris.ac.uk/en/persons/luciano-maino |
Social Media |
https://twitter.com/MainoLuciano |