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research

preprints

• Isogeny-based Signatures with Randomizable Keys
  A. Basso, G. Borin, M. Corte-Real Santos, P. Dartois, R. Invernizzi, L. Maino, R. Pedersen, M. Seck
  pdf eprint code

papers

• A Simple and Unified Approach for Proving Knowledge of Isogenies between Abelian Varieties
  J. K. Eriksen, R. Invernizzi, J. Spiessens, F. Vercauteren - Asiacrypt 2026
  pdf eprint code
• PRISM with a pinch of salt: Simple, Efficient and Strongly Unforgeable Signatures from Isogenies
  A. Basso, G. Borin, W. Castryck, M. Corte-Real Santos, R. Invernizzi, A. Leroux, L. Maino, F. Vercauteren, B. Wesolowski - Journal of Cryptology (2026)
  pdf eprint code
• The Principal Ideal Problem for Endomorphism Rings of Superspecial Abelian Varieties
  W. Castryck, J. K. Eriksen, R. Invernizzi, F. Vercauteren - ANTS 2026
  pdf eprint code
• Leveled Isogeny Problems with Hints
  S. Das, R. Invernizzi, P. Kutas, J. Meers - PKC 2026
  pdf eprint code
• qt-Pegasis: Simpler and Faster Effective Class Group Actions
  P. Dartois, J. K. Eriksen, R. Invernizzi, F. Vercauteren - Eurocrypt 2026
  pdf eprint code
• Qlapoti: Simple and Efficient Translation of Quaternion Ideals to Isogenies
  G. Borin, M. Corte-Real Santos, J. K. Eriksen, R. Invernizzi, M. Mula, S. Schaeffler, F. Vercauteren - Asiacrypt 2025
  pdf eprint code
• Orient Express: Using Frobenius to Express Oriented Isogenies
  W. Castryck, R. Invernizzi, G. Lorenzon, J. Meers, F. Vercauteren - Latincrypt 2025
  pdf eprint code
• PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies
  P. Dartois, J. K. Eriksen, T. B. Fouotsa, A. H. Le Merdy, R. Invernizzi, D. Robert, R. Rueger, F. Vercauteren, B. Wesolowski - CRYPTO 2025
  pdf eprint code
• PRISM: Simple And Compact Identification and Signatures From Large Prime Degree Isogenies
  A. Basso, G. Borin, W. Castryck, M. Corte-Real Santos, R. Invernizzi, A. Leroux, L. Maino, F. Vercauteren, B. Wesolowski - PKC 2025
  pdf eprint code
• SQIsign2D-East: A New Signature Scheme Using 2-dimensional Isogenies
  K. Nakagawa, H. Onuki, W. Castryck, M. Chen, R. Invernizzi, G. Lorenzon, F. Vercauteren - Asiacrypt 2024
  pdf code
• Optimal S-boxes against alternative operations and linear propagation
  M. Calderini, R. Civino, R. Invernizzi - WCC 2024 and Discrete Mathematics
  pdf arxiv code
• Differential experiments using parallel alternative operations
  M. Calderini, R. Civino, R. Invernizzi - Journal of Mathematical Cryptology (2024)
  pdf arxiv
• Multiplication polynomials for elliptic curves over finite local rings
  R. Invernizzi, D. Taufer - ISSAC 2023
  pdf arxiv code

code

• SQIsign - PRISM v2 - An unofficial but almost Roud 2 spec-compliant implementation of SQIsign and PRISM in Sage
  M. Corte-Real Santos, R. Invernizzi
  github

notes

• Breaking and Repairing SQIsign2D-East
  W. Castryck, M. Chen, R. Invernizzi, G. Lorenzon, F. Vercauteren (2024)
  pdf eprint

talks

• The Principal Ideal Problem for endomorphism rings of superspecial abelian varieties
  ANTS, Groningen (The Netherlands), 6 Jul 2026
  slides
• Proving knowledge of isogenies: a unified approach
  IBM, Zurich (Switzerland), 24 Jun 2026
  slides
• Leveled Isogeny Problems with Hints
  PKC, Miami (Florida - US), 27 May 2026
  slides
• qt-Pegasis: simpler and faster effective class group actions
  Eurocrypt, Roma (Italy), 12 May 2026
  slides
• Ideal to Isogeny: from Qlapoti to qt-Pegasis
  Isogeny Days, Leuven (Belgium), 12 Sep 2025
  slides
• PEGASIS: Practical Effective Class Group Action
  Crypto, Santa Barbara (California - US), 18 Aug 2025
  slides recording
• PRISM - Signatures from large prime degree isogenies
  PKC, Røros (Norway), 14 May 2025
  slides recording
• PRISM - PRime degree ISogeny Mechanism
  Isogeny Club - Season 5, 3 December 2024
  slides recording
• Optimal S-boxes against alternative operations
  WCC, Perugia (Italy), 17 June 2024
  slides
• Multiplication polynomials for elliptic curves over finite local rings
  ISSAC, Tromsø (Norway), 27 July 2023
  slides
• Linear Convex Optimization with Gurobi
  Solving Polynomial Systems, Leuven (Belgium), 20 April 2023
  code