{"id":9,"date":"2022-04-14T15:52:45","date_gmt":"2022-04-14T15:52:45","guid":{"rendered":"https:\/\/www.pierrickdartois.fr\/homepage\/?page_id=9"},"modified":"2026-03-10T08:50:32","modified_gmt":"2026-03-10T08:50:32","slug":"pierrick-dartois","status":"publish","type":"page","link":"https:\/\/www.pierrickdartois.fr\/homepage\/","title":{"rendered":"Pierrick Dartois"},"content":{"rendered":"\n
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I am a post-doctoral research engineer in isogeny-based post-quantum cryptography affiliated with Inria<\/a> Rennes on the CAPSULE<\/a> team. In 2025, I completed my PhD at Inria<\/a> Bordeaux and Institut de Math\u00e9matiques de Bordeaux<\/a> on the CANARI<\/a> team under the supervision of Benjamin Wesolowski<\/a>, Damien Robert<\/a> and Luca De Feo<\/a>.<\/p>\n\n\n\n

My research interests are related to isogeny computations in dimensions one and higher along with cryptographic applications. I have contributed to improvements of the SQIsign<\/a> digital signature scheme relying on the efficient computation of dimension 2 and 4 isogenies.<\/p>\n\n\n\n

If you are willing to contact me or Aurore Guillevic<\/a> to apply to this PhD offer<\/a>, please be aware that the position has already been offered and that any further application cannot be successful. The offer is still online for administrative reasons only.<\/p>\n\n\n\n

I support <\/p>\n\n\n\n

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Preprints<\/h2>\n\n\n\n

Pierrick Dartois and Max Duparc. Chasing Rabbits Through Hypercubes: Better algorithms for higher dimensional 2-isogeny computations<\/em>. Cryptology ePrint<\/a> Archive, Paper 2026\/114.<\/p>\n\n\n\n

Pierrick Dartois, Jonathan Komada Eriksen, Riccardo Invernizzi and Frederik Vercauteren. qt-Pegasis: Simpler and Faster E\ufb00ective Class Group Actions<\/em>. Cryptology ePrint<\/a> Archive, Paper 2025\/1859. Accepted at EUROCRYPT 2026.<\/p>\n\n\n\n

Published papers<\/h2>\n\n\n\n

Pierrick Dartois, Jonathan Komada Eriksen, Tako Boris Fouotsa, Arthur Herl\u00e9dan Le Merdy, Riccardo Invernizzi, Damien Robert, Ryan Rueger, Frederik Vercauteren and Benjamin Wesolowski, PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies<\/em>, In Advances in Cryptology – CRYPTO 202<\/em>5. DOI.<\/a> Open access.<\/a><\/p>\n\n\n\n

Pierrick Dartois, Fast computation of 2-isogenies in dimension 4 and cryptographic applications<\/em>, In Journal of Algebra<\/em>, Volume 683, December 2025. DOI.<\/a> ePrint.<\/a> arXiv.<\/a><\/p>\n\n\n\n

Andrea Basso, Pierrick Dartois, Luca De Feo, Antonin Leroux, Luciano Maino, Giacomo Pope, Damien Robert and Benjamin Wesolowski, SQIsign2D-West: The Fast, the Small, and the Safer<\/em>, In Advances in Cryptology – ASIACRYPT 2024<\/em>. DOI.<\/a> Open access.<\/a><\/p>\n\n\n\n

Pierrick Dartois, Luciano Maino, Giacomo Pope and Damien Robert, An Algorithmic Approach to (2,2)-isogenies in the Theta Model and Applications to Isogeny-based Cryptography<\/em>, In Advances in Cryptology – ASIACRYPT 2024<\/em>. DOI.<\/a> Open access.<\/a><\/p>\n\n\n\n

Sarah Arpin, James Clements, Pierrick Dartois, Jonathan Komada Eriksen, P\u00e9ter Kutas and Benjamin Wesolowski, Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders<\/em>. In Designs, Codes and Cryptography<\/em> (June 2024). DOI.<\/a> Open access.<\/a><\/p>\n\n\n\n

Pierrick Dartois, Antonin Leroux, Damien Robert and Benjamin Wesolowski, SQISignHD: New Dimensions in Cryptography<\/em>, In Advances in Cryptology \u2013 EUROCRYPT 2024<\/em>. DOI.<\/a> Open access.<\/a> Best paper award.<\/strong><\/p>\n\n\n\n

Pierrick Dartois and Luca De Feo<\/a>, On the security of OSIDH<\/em>, In Public-Key Cryptography 2022<\/em>, pages 52-81, Springer International Publishing, 2022. DOI<\/a>.<\/a> Open access<\/a>.<\/a><\/p>\n\n\n\n

Standards<\/h2>\n\n\n\n

Marius A. Aardal, Gora Adj, Diego F. Aranha, Andrea Basso, Isaac Andr\u00e9s Canales Mart\u00ednez, Jorge Ch\u00e1vez-Saab, Maria Corte-Real Santos, Pierrick Dartois, Luca De Feo, Max Duparc, Jonathan Komada Eriksen, Tako Boris Fouotsa, D\u00e9cio Luiz Gazzoni Filho, Basil Hess, David Kohel, Antonin Leroux, Patrick Longa, Luciano Maino, Michael Meyer, Kohei Nakagawa, Hiroshi Onuki, Lorenz Panny, Sikhar Patranabis, Christophe Petit, Giacomo Pope, Krijn Reijnders, Damien Robert, Francisco Rodr\u00edguez Henr\u00edquez, Sina Schaeffler and Benjamin Wesolowski. SQIsign: Algorithm specifications and supporting documentation<\/em>, Version 2.0. Access link<\/a>.<\/p>\n\n<\/div>

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Talks<\/h2>\n\n\n\n

A tale of groups and rabbits: efficient 4-dimensional isogeny computations for cryptographic group actions<\/em>, Seminar of the CRYPTO team at LMV<\/a>, 6 March 2026, Versailles (1h – English). Slides.<\/a><\/p>\n\n\n\n

Revenge of the 4D: Can 4-dimensional isogenies become practical?<\/em>, Seminar of the AMACC team at GREYC, 13 January 2026, Caen (1h – English).<\/p>\n\n\n\n

Revenge of the 4D: Can 4-dimensional isogenies become practical?<\/em>, Seminar of the ECO team at LIRMM, 16 December 2025, Montpellier (1h – English). <\/p>\n\n\n\n

Revenge of the 4D: Can 4-dimensional isogenies become practical?<\/em>, Seminar of the CASCADE team at ENS Ulm, 9 December 2025, Paris (1h – English). Slides.<\/a><\/p>\n\n\n\n

An introduction to SQIsign<\/em>, Journ\u00e9e du PEPR PQ-TLS<\/a>, 5 December 2025, Inria Paris (1h30 – French). Slides.<\/a><\/p>\n\n\n\n

Revenge of the 4D: Can 4-dimensional isogenies become practical?<\/em>, Seminar of the GRACE team at LIX, 9 December 2025, Saclay (1h – English).<\/p>\n\n\n\n

What you need to know about higher dimensional isogenies<\/em>, Leuven Isogeny Days 6<\/a>, 12 September 2025, Leuven (1h – English). Slides.<\/a><\/p>\n\n\n\n

Fast computation of higher dimensional isogenies for cryptographic applications<\/em>, PhD defense, 9 July 2025, Bordeaux (50 min – English). Slides.<\/a><\/p>\n\n\n\n

Fast computation of higher dimensional 2e<\/sup>-isogenies with theta coordinates<\/em>, S\u00e9minaire de G\u00e9om\u00e9trie et Alg\u00e8bre Effectives (GAE)<\/a>, 16 May 2025, Rennes (1h – English). Slides.<\/a><\/p>\n\n\n\n

Practical Effective Class Group Action using 4-Dimensional Isogenies<\/em>, The SQIParty workshop on isogeny crypto<\/a>, 30 April 2025, Lleida (30 min – English). Slides.<\/a><\/p>\n\n\n\n

SQIsign2D-West: faster, safer and compact signatures with 2-dimensional isogenies<\/em>, Journ\u00e9es C2 2025<\/a>, 3 April 2025, Pornichet (25 min – English). Slides.<\/a><\/p>\n\n\n\n

SQIsign2D-West: faster, safer and compact signatures with 2-dimensional isogenies<\/em>, Journ\u00e9e du PEPR PQ-TLS, 13 March 2025, Journ\u00e9e du PEPR PQ-TLS<\/a>, Paris (30 min – English). <\/p>\n\n\n\n

Improvements of SQIsign: faster and safer isogeny signatures<\/em>, 13 February 2025, Seminar of the Inria team CAPSULE<\/a>, Rennes (1h – English). Slides.<\/a><\/p>\n\n\n\n

New techniques for ideal to isogeny translations<\/em>, 14 January 2025, Seminar<\/a> of the Inria team CARAMBA<\/a>, Nancy (1h – English). Slides.<\/a><\/p>\n\n\n\n

Fast computation of higher dimensional isogenies for cryptographic applications<\/em>, 21 November 2024, S\u00e9minaire d’arithm\u00e9tique<\/a> \u00e0 Lyon (UMPA<\/a>) (1h – English). Slides.<\/a><\/p>\n\n\n\n

From ideals to isogenies with 2-dimensional techniques<\/em>, 11 September 2024, Leuven Isogeny Days<\/a> (30 min – English). Slides.<\/a><\/p>\n\n\n\n

SQIsign2D-West: the Fast, the Small, the Safer<\/em>, 24 June 2024, ULB Seminar, online (1h – English). Slides.<\/a><\/p>\n\n\n\n

SQIsignHD: New Dimensions in Cryptography<\/em>, 27 May 2024, Eurocrypt 2024, Zurich (20 min – English). Slides.<\/a><\/p>\n\n\n\n

SQIsign2D-West: the Fast, the Small, the Safer<\/em>, 24 May 2024, IBM Quantum Safe Workshop, R\u00fcschlikon (30 min -English).<\/p>\n\n\n\n

Signing with higher dimensional isogenies<\/em>, 22 April 2024, Cryptography seminar, IBM Research Europe, Zurich (1 h – English).<\/p>\n\n\n\n

Computing higher dimensional isogenies in the Theta model<\/em>, 23 January 2024, Journ\u00e9e du PEPR PQ-TLS<\/a> (30 min – English). Slides.<\/a><\/p>\n\n\n\n

Signing with higher dimensional isogenies<\/em>, 16 October 2023, Journ\u00e9es C2 2023<\/a> (10 min – English). Slides.<\/a><\/p>\n\n\n\n

Signing with higher dimensional isogenies<\/em>, 12 October 2023, Leuven Isogeny Days 2023<\/a> (45 min – English). Slides<\/a>.<\/a><\/p>\n\n\n\n

SQISignHD: Signing with higher dimensional isogenies<\/em>, 12 September 2023, Seminar of the Institut de Math\u00e9matiques de Bordeaux (1h – English). Abstract.<\/a> Slides.<\/a> <\/p>\n\n\n\n

Signing with higher dimensional isogenies<\/em>, 12 May 2023, Rennes Cryptography Seminar (1h – French). Slides.<\/a><\/p>\n\n\n\n

SQISignHD: signing with higher dimensional isogenies<\/em>, 28 March 2023, Isogeny Club<\/a>, Season 2 Episode 5 (1h – English). Video.<\/a> Slides.<\/a><\/p>\n\n\n\n

On the security of OSIDH<\/em>, 9 March 2022, Public-Key Cryptography 2022 (20 min – English). Video.<\/a> Slides.<\/a><\/p>\n\n\n\n

Cryptanalysis of OSIDH<\/em>, 15 March 2022, Seminar of the Institut de Math\u00e9matiques de Bordeaux (1h – French). Abstract.<\/a> Slides.<\/a><\/p>\n\n<\/div>

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Awards<\/h2>\n\n\n\n

Eurocrypt 2024 best paper award for the paper SQISignHD: New Dimensions in Cryptography<\/em>.<\/p>\n\n<\/div>

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Software and coding<\/h2>\n\n\n\n

qt-Pegasis-Fp<\/a>. C and SageMath implementation of qt-Pegasis over the base prime field using the most recent 4-dimensional isogeny formulae<\/a>. Joint work with Max Duparc and Sina Schaeffler. <\/p>\n\n\n\n

qt-Pegasis<\/a>. Faster and simpler version of Pegasis<\/a>. Joint work with Jonathan Komada Eriksen, Riccardo Invernizzi and Frederik Vercauteren.<\/p>\n\n\n\n

Pegasis<\/a>. Practical effective class group action implementation using 4-dimensional isogenies in the CSIDH\/CSURF context. Joint work with Jonathan Komada Eriksen, Arthur Herl\u00e9dan Le Merdy, Riccardo Invernizzi, Damien Robert, Ryan Rueger and Frederik Vercauteren.<\/p>\n\n\n\n

SQIsignHD-lib<\/a>. SQIsignHD library, including an implementation of 2-isogenies in dimension 4 in the Theta model. Joint work with Antonin Leroux, Damien Robert and Benjamin Wesolowski. Referenced as a Eurocrypt 2024 artifact.<\/a><\/p>\n\n\n\n

Theta_dim4<\/a>. Implementation of 2-isogenies in dimension 4 with theta coordinates. Used in SQIsignHD-lib<\/a>, Pegasis<\/a> and qt-Pegasis<\/a>.<\/p>\n\n\n\n

Two-isogenies<\/a>. Implementation of 2-isogenies in dimension 2 with theta coordinates. Joint work with Luciano Maino, Giacomo Pope and Damien Robert.<\/p>\n\n<\/div>

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PhD manuscript<\/h2>\n\n\n\n

PhD Thesis<\/a>, Fast computation of higher dimensional isogenies for cryptographic applications<\/em>, Inria and University of Bordeaux, 2025.<\/p>\n\n\n\n

Other thesis and study projects<\/h2>\n\n\n\n

Thesis<\/a>, On Oriented Supersingular Isogeny Diffie-Hellman<\/em>, under the supervision of Luca De Feo<\/a>, IBM Research Zurich, 2021.<\/p>\n\n\n\n

Thesis<\/a>, An introduction to abelian varieties<\/em>, under the supervision of Anna Somoza<\/a>, University of Rennes 1, 2020.<\/p>\n\n\n\n

Thesis<\/a>, Th\u00e9or\u00e8me du rel\u00e8vement canonique de Deuring<\/em>, under the supervision of Benjamin Schra\u00ebn<\/a>, \u00c9cole polytechnique, 2019.<\/p>\n\n\n\n

Thesis<\/a>, Pierrick Dartois and Emmanuel Pinglier, Groupes finis, repr\u00e9sentations et caract\u00e8res : th\u00e9or\u00e8mes de Frobenius, de Burnside et de Suzuki<\/em>, under the supervision of Ga\u00ebtan Chenevier<\/a>, \u00c9cole polytechnique, 2018.<\/p>\n\n\n\n

Team Scientific Project<\/a>, Gustave Billon, Pierrick Dartois, Pedro Freire Mascarenhas Pontes, Minmin Ge, Emmanuel Pinglier, Quentin Yang<\/a> and Rapha\u00ebl Yu, Comptage de points sur les courbes elliptiques<\/em>, under the supervision of St\u00e9phane Bijakowski<\/a>, \u00c9cole polytechnique, 2018.<\/p>\n\n<\/div>

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Rennes University, M1 “Compl\u00e9ments de cryptographie” 2025-2026 (6h tutorial + 6h practical)<\/p>\n\n\n\n

Rennes University, M1 “Cryptographie” 2025-2026 (15h tutorial + 15h practical)<\/p>\n\n\n\n

Rennes University, L2 “Green IT” 2025-2026 (1h30 lecture on energy transition). Slides.<\/a><\/p>\n\n\n\n

Rennes University, L1 “Initiation \u00e0 la programmation imp\u00e9rative” 2025-2026 (6h tutorial + 1h30 lecture)<\/p>\n\n\n\n

Bordeaux University, L1 “Outils math\u00e9matiques” 2023-2024 (32h tutorial) (Moodle<\/a>)<\/p>\n\n<\/div>

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Other works<\/h2>\n\n\n\n

In addition to my work in cryptography, I have also contributed to energy transition planning and modeling in the French context. These contributions are part of my curriculum in the Corps des Mines<\/a>.<\/p>\n\n\n\n

Pierrick Dartois and Marie Suderie, “L’\u00e9volution de la demande en \u00e9lectricit\u00e9 d\u00e9carbon\u00e9e”. In Le nouveau nucl\u00e9aire<\/em>, Annales des Mines, Responsabilit\u00e9 et environnement, 113, January 2024. Link.<\/a><\/p>\n\n\n\n

Pierrick Dartois and Marie Suderie, Couvrir nos besoins \u00e9nerg\u00e9tiques\u00a0: 2050 se pr\u00e9pare aujourd’hui.<\/em> La Fabrique de l’Industrie, Les Notes de la Fabrique, 2022. e-Book.<\/a> Hardcover.<\/a><\/p>\n\n<\/div>

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Funding and support<\/h2>\n\n\n\n

My post-doc is currently supported by the BPI France<\/a> project RESQUE<\/a> to study and develop side-channel resistant implementations of isogeny based primitives.<\/p>\n\n\n\n

My PhD has been funded by Inria<\/a>.<\/p>\n\n\n\n

My research works have also been funded by the following grants:<\/p>\n\n\n\n