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research

preprints

1. A Simple and Unified Approach for Proving Knowledge of Isogenies between Abelian Varieties
   J. K. Eriksen, R. Invernizzi, J. Spiessens, F. Vercauteren
   pdf eprint code
2. 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
3. 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
   pdf eprint code

papers

1. 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
2. Leveled Isogeny Problems with Hints
   S. Das, R. Invernizzi, P. Kutas, J. Meers - PKC 2026
   pdf eprint code
3. qt-Pegasis: Simpler and Faster Effective Class Group Actions
   P. Dartois, J. K. Eriksen, R. Invernizzi, F. Vercauteren - Eurocrypt 2026
   pdf eprint code
4. 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
5. Orient Express: Using Frobenius to Express Oriented Isogenies
   W. Castryck, R. Invernizzi, G. Lorenzon, J. Meers, F. Vercauteren - Latincrypt 2025
   pdf eprint code
6. 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
7. 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
8. 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
9. Optimal S-boxes against alternative operations and linear propagation
   M. Calderini, R. Civino, R. Invernizzi - WCC 2024 and Discrete Mathematics
   pdf arxiv code
10. Differential experiments using parallel alternative operations
    M. Calderini, R. Civino, R. Invernizzi - Journal of Mathematical Cryptology (2024)
    pdf arxiv
11. 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

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

talks

• 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