**The supersingular endomorphism ring problem given one endomorphism**

With Arthur Herlédan Le Merdy

Cryptology ePrint Archive 2023 > preprint**Understanding and improving the Castryck-Decru attack on SIDH**

Unpublished note, 2022 > preprint**Lower bounds for the depth of modular squaring**

With Ryan Williams

Cryptology ePrint Archive 2020 > preprint

**SQIsign2D-West: The Fast, the Small, and the Safer**

With Andrea Basso, Pierrick Dartois, Luca De Feo, Antonin Leroux, Luciano Maino, Giacomo Pope and Damien Robert

To appear at Asiacrypt 2024 > preprint**Cryptanalysis of Algebraic Verifiable Delay Functions**

With Alex Biryukov, Ben Fisch, Gottfried Herold, Dmitry Khovratovich, Gaëtan Leurent and María Naya-Plasencia

Crypto 2024 > preprint**Computing isogenies between finite Drinfeld modules**

IACR Communications in Cryptology, Volume 1, Issue 1 (2024) > preprint**The supersingular Endomorphism Ring and One Endomorphism problems are equivalent**

With Aurel Page

Eurocrypt 2024 > preprint**SQISignHD: new dimensions in cryptography**

With Pierrick Dartois, Antonin Leroux and Damien Robert

Eurocrypt 2024 > preprint

*Best paper award Eurocrypt 2024***Finding orientations of supersingular elliptic curves and quaternion orders**

With Sarah Arpin, James Clements, Pierrick Dartois, Jonathan Komada Eriksen and Péter Kutas

Designs, Codes and Cryptography (2024) > preprint > open access**Ideal-SVP is hard for small-norm uniform prime ideals**

With Joël Felderhoff, Alice Pellet-Mary and Damien Stehlé

TCC 2023 > preprint**A direct key recovery attack on SIDH**

With Luciano Maino, Chloe Martindale, Lorenz Panny and Giacomo Pope

Eurocrypt 2023 > preprint

*Top-3 paper Eurocrypt 2023***New algorithms for the Deuring correspondence: toward practical and secure SQISign signatures**

With Luca De Feo, Antonin Leroux, and Patrick Longa

Eurocrypt 2023 > preprint**Supersingular curves you can trust**

With Andrea Basso, Giulio Codogni, Deirdre Connolly, Luca De Feo, Tako Boris Fouotsa, Guido Maria Lido, Travis Morrison, Lorenz Panny and Sikhar Patranabis

Eurocrypt 2023 > preprint**SCALLOP: scaling the CSI-FiSh**

With Luca De Feo, Tako Boris Fouotsa, Péter Kutas, Antonin Leroux, Simon-Philipp Merz and Lorenz Panny

PKC 2023 > preprint**A note on the low order assumption in class group of an imaginary quadratic number fields**

With Karim Belabas, Thorsten Kleinjung and Antonio Sanso

Mathematical Cryptology (2023) > preprint**On the decisional Diffie-Hellman problem for class group actions on oriented elliptic curves**

With Wouter Castryck, Marc Houben and Frederik Vercauteren

ANTS-XV, Fifteenth Algorithmic Number Theory Symposium (2022) > preprint**Orientations and the supersingular endomorphism ring problem**

Eurocrypt 2022 > preprint**Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic**

With Thorsten Kleinjung

Journal of the American Mathematical Society, Volume 35, Number 2 (2022) > preprint**The supersingular isogeny path and endomorphism ring problems are equivalent**

FOCS 2021 > preprint**Séta: Supersingular Encryption from Torsion Attacks**

With Luca De Feo, Cyprien Delpech de Saint Guilhem, Tako Boris Fouotsa, Péter Kutas, Antonin Leroux, Christophe Petit, Javier Silva

Asiacrypt 2021 > preprint**Computation of a 30750-Bit Binary Field Discrete Logarithm**

With Robert Granger, Thorsten Kleinjung, Arjen K. Lenstra and Jens Zumbrägel

Mathematics of Computation, Volume 90, Number 332 (2021) > preprint**Mildly short vectors in cyclotomic ideal lattices in quantum polynomial time**

With Ronald Cramer and Léo Ducas

Journal of the ACM, Volume 68, Issue 2 (2021) > preprint**SQISign: compact post-quantum signatures from quaternions and isogenies**

With Luca De Feo, David Kohel, Antonin Leroux and Christophe Petit

Asiacrypt 2020 > preprint

*Best paper award Asiacrypt 2020***Efficient Verifiable Delay Functions**

Journal of Cryptology 2020 > paper**Random self-reducibility of Ideal-SVP via Arakelov random walks**

With Koen de Boer, Léo Ducas and Alice Pellet-Mary

Crypto 2020 > preprint**On the shortness of vectors to be found by the Ideal-SVP quantum algorithm**

With Léo Ducas and Maxime Plançon

Crypto 2019 > preprint**Efficient verifiable delay functions**

Eurocrypt 2019 > preprint

*Best young researcher award Eurocrypt 2019***Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem**

With Dimitar Jetchev

Acta Arithmetica 187 (2019) > preprint**A new perspective on the powers of two descent for discrete logarithms in finite fields**

With Thorsten Kleinjung

ANTS-XIII, Thirteenth Algorithmic Number Theory Symposium (2018) > preprint**Generating subgroups of ray class groups with small prime ideals**

ANTS-XIII, Thirteenth Algorithmic Number Theory Symposium (2018) > preprint**Isogeny graphs of ordinary abelian varieties**

With Ernest Hunter Brooks and Dimitar Jetchev

Research in Number Theory 3 (2017) > open access**Loop-abort faults on supersingular isogeny cryptosystems**

With Alexandre Gélin

PQCrypto 2017 > preprint**Short Stickelberger class relations and application to Ideal-SVP**

With Ronald Cramer and Léo Ducas

Eurocrypt 2017 > preprint

*Top-3 paper Eurocrypt 2017***Trustworthy public randomness with sloth, unicorn, and trx**

With Arjen K. Lenstra

International Journal of Applied Cryptography (2016) > preprint**Malleability of the blockchain’s entropy**

With Cécile Pierrot

ArcticCrypt 2016 > preprint**Ciphertext-policy attribute-based broadcast encryption with small keys**

With Pascal Junod

ICISC 2015 > preprint

- HDR Thesis.
**Random Walks in Number-theoretic Cryptology**> manuscript

Presented on 29 August 2024 at École Normale Supérieure de Lyon (ENS Lyon), France - PhD Thesis.
**Arithmetic and geometric structures in cryptography**> manuscript

Presented on 30 November 2018 at École Polytechnique Fédérale de Lausanne (EPFL), Switzerland

Supervised by Prof. Arjen K. Lenstra and Dr. Robert Granger

**Foundations of isogeny-based cryptography**

Mathematics for post-quantum cryptanalysis, Budapest, Hungary (August 2024) > slides**Foundations of isogeny-based cryptography**

Normandie 2024, Caen, France (July 2024) > slides**The Supersingular Endomorphism Ring and One Endomorphism Problems Are Equivalent**

Eurocrypt 2024, Zurich, Switzerland (May 2024) > slides**SQIsignHD**

CAIPI Symposium, Rennes, France (April 2024) > slides**Isogeny-based cryptography, a biased introduction**

CAIPI Symposium, Rennes, France (April 2024) > slides**Ideal-SVP is Hard for Small-Norm Uniform Prime Ideals**

TCC 2023, Taipei, Taiwan (December 2023) > slides > video**Interpolating isogenies**

Seminar AMAC: CASC, Laboratoire Jean Kuntzmann, Grenoble, France (December 2023) > slides**The supersingular Endomorphism Ring and One Endomorphism problems are equivalent**

Séminaire d'arithmétique de Lyon, ENS de Lyon, France (November 2023)**Interpolating isogenies**

Séminaire d'arithmétique de Lyon, ENS de Lyon, France (October 2023)**The supersingular Endomorphism Ring and One Endomorphism problems are equivalent**

Geometry Seminars at Tor Vergata, Rome, Italy (October 2023)**Interpolating isogenies, and applications**

RTCA 2023, Recent Trends in Computer Algebra, IHP, Paris, France (September 2023) > slides**Isogeny-based cryptography after The Snap**

PQCrypto, College Park, USA (August 2023) > slides > video**SQIsign HD: SQIing in higher dimensions**

SIAM Conference on Applied Algebraic Geometry, online (August 2023)**Supersingular curves You can Trust**

COUNT, COmputations and their Uses in Number Theory, Eindhoven, The Netherlands (July 2023)**Courbes elliptiques supersingulières en cryptographie**

Séminaire d'arithmétique de Lyon, ENS de Lyon, France (February 2023)**Hard problems for isogeny-based cryptography**

Séminaire C2, Lyon, France (January 2023)**Reductions between hard isogeny problems**

CIAO seminar, Bordeaux, France (December 2022)**Reductions between hard isogeny problems**

Leuven Isogeny Days 3, Leuven, Belgium (September 2022) > video**Hard problems for isogeny-based cryptography**

Selected Areas in Cryptography (SAC 2022), Windsor, Canada (August 2022)**Hard problems for isogeny-based cryptography**

Cryptology seminar at IAI, TCG CREST, online (June 2022)**Hard problems for isogeny-based cryptography**

JNIM 2022, Journées Nationales du GDR IM, Lille, France (March 2022) > video**SQISign: compact post-quantum signature from quaternions and isogenies**

Workshop on Isogeny-Based Cryptography, Birmingham, United Kingdom (March 2022)**Ideal lattices and the Arakelov class group**

CHARM seminar, online (March 2022)**The supersingular isogeny path and endomorphism ring problems are equivalent**

COSIC seminar, KU Leuven, Belgium (November 2021)**SQISign: compact post-quantum signature from quaternions and isogenies**

LFANT seminar, Bordeaux, France (November 2021) > slides**SQISign: compact post-quantum signature from quaternions and isogenies**

SIAM Conference on Applied Algebraic Geometry, online (August 2021) > slides**Hasard ou manipulation ? Peut-on tirer au sort et prouver que seul le hasard est maître ?**

Unithé ou café, Inria Bordeaux, online (June 2021)**SQISign: compact post-quantum signature from quaternions and isogenies**

AriC Seminar, ENS Lyon, online (March 2021) > slides**Verifiable delay functions**

Blockchain Seminar, Monash Blockchain Technology Centre, online (September 2020) > slides**New Reductions and Algorithms for Ideal Lattices via Arakelov Random Walks**

Lattices: Geometry, Algorithms and Hardness, Simons Institute, Berkeley, USA (February 2020) > video**Discrete logarithms in quasi-polynomial time in finite fields of small characteristic**

Séminaire de Théorie des Nombres, Université de Bordeaux, France (February 2020) > slides**Verifiable delay functions**

Conférence de lancement de l'ANR Ciao, Université de Bordeaux, France (February 2020) > slides**Discrete logarithms in quasi-polynomial time in finite fields of small characteristic**

ECC 2019, 23rd Workshop on Elliptic Curve Cryptography, Bochum, Germany (December 2019) > slides**Discrete logarithms in quasi-polynomial time in finite fields of small characteristic**

Diamant symposium, Utrecht, The Netherlands (November 2019) > slides**Discrete logarithms in quasi-polynomial time in finite fields of small characteristic**

Applied Crypto Group Seminar, Université du Luxembourg (November 2019) > slides**Discrete logarithms in quasi-polynomial time in finite fields of small characteristic**

Protocol Labs Journal Club (October 2019) > slides**Discrete logarithms in quasi-polynomial time in finite fields of small characteristic**

AriC Seminar, ENS Lyon, France (October 2019) > slides**Verifiable delay functions**

Ei/Ψ Crypto Working Group, Utrecht, The Netherlands (September 2019) > slides**Horizontal isogeny graphs: analytic methods and mixing properties**

SIAM conference on applied algebraic geometry, Bern, Switzerland (July 2019)**Quantum algorithms for finding short vectors in ideal lattices**

2nd QSC General Assembly, Amsterdam, The Netherlands (June 2019) > slides**The discrete logarithm problem in finite fields of small characteristic**

Algebra, geometry and number theory seminar, Leiden University, The Netherlands (April 2019) > slides**The discrete logarithm problem in finite fields of small characteristic**

Mathematical foundations of asymmetric cryptography, winter school, Aussois, France (March 2019) > slides**A hybrid verifiable delay function**

Blockchain Research workshop at Stanford, CA, USA (February 2019)**Isogeny graphs of ordinary abelian varieties**

Séminaires de l'Institut Fourier, Grenoble, France (December 2018)**Horizontal isogeny graphs**

AriC's Lattice and Crypto Session, ENS Lyon, France (December 2018)**An efficient verifiable delay function**

Ethereum Foundation and Stanford Center for Blockchain Research workshop at Stanford, CA, USA (August 2018)**Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem**

Séminaire de Cryptographie, Rennes, France (February 2018) > slides**Mildly short vectors in cyclotomic ideal lattices in quantum polynomial time**

CARAMBA seminar, Nancy, France (January 2018) > slides**Isogeny graphs of ordinary abelian varieties**

ECC 2017, 21st Workshop on Elliptic Curve Cryptography, Nijmegen, The Netherlands (November 2017) > slides

*Best presentation award***Isogeny graphs of ordinary abelian varieties**

LFANT seminar, Bordeaux, France (May 2017) > slides**Graphes d'isogénies de variétés abéliennes ordinaires**

Journées Codage et Cryptographie, La Bresse, France (April 2017) > slides (french)**Randomness on the blockchain**

RISC seminars, CWI Cryptology Group, Amsterdam, The Netherlands (September 2016) > slides**Trust, and public entropy: a unicorn hunt**

NIST Workshop on Random Bit Generation, Gaithersburg, MD, USA (May 2016) > slides**A random zoo: sloth, unicorn and trx**

ALMASTY seminars, Université Pierre et Marie Curie, Paris, France (December 2015) > slides (french)**A random zoo: sloth, unicorn and trx**

Journées Codage et Cryptographie, La Londe-les-Maures, France (October 2015)**A random zoo: sloth, unicorn and trx**

NIST Workshop on Elliptic Curve Cryptography Standards, Gaithersburg, MD, USA (June 2015) > slides**Random self-reducibility of the discrete logarithm problem in genus 2**> slides

LACAL@RISC Seminar on Cryptologic Algorithms, CWI Amsterdam, The Netherlands (February 2015)