2025

Habilitations/Professorial dissertation

Page, Aurel:
Hecke operators in algorithmic number theory.
Université de Bordeaux, 2025.

Book chapter

Allombert, Bill:
Appendix to Infinite Products and Congruent Numbers by Ahmed Sebbar.
In Panza, Marco; Struppa, Daniele; Szczeciniarz, Jean-Jacques (editors):
The Mathematical and Philosophical Legacy of Alexander Grothendieck.
Chapman Mathematical Notes
Springer Nature Switzerland, 2025, pp. 128–132.

Journals

Allombert, Bill; Chenevier, Gaëtan:
Unimodular Hunting II.
Forum of Mathematics, Sigma 13 (e136), 2025.
Allombert, Bill; Mayer, Daniel:
Corps de nombres cubiques cycliques ayant une capitulation harmonieusement équilibrée (Cyclic cubic number fields with harmonically balanced capitulation).
Publications Mathématiques de Besançon – Algèbre et Théorie des Nombres 2025, 2025, pp. 21–46.
Berardini, Elena; Caruso, Xavier:
Reed-Muller codes in the sum-rank metric.
Journal of Algebra and Its Applications 24 (13n14), 2025, pp. 2541019.
Beaugrand, Agathe; Castagnos, Guilhem; Laguillaumie, Fabien:
Efficient Succinct Zero-Knowledge Arguments in the CL Framework.
Journal of Cryptology 38 (13), 2025.
Berardini, Elena; Dastbasteh, Reza; Etxezarreta Martinez, Josu; Jain, Shreyas; Sanz Larrarte, Olatz:
Asymptotically good CSS-T codes and a new construction of triorthogonal codes.
IEEE Journal on Selected Areas in Information Theory 6, 2025, pp. 189–198.
Braun, Lennart; Castagnos, Guilhem; Damgård, Ivan; Laguillaumie, Fabien; Melissaris, Kelsey; Orlandi, Claudio; Tucker, Ida:
An Improved Threshold Homomorphic Cryptosystem Based on Class Groups.
Cryptography and Communications – Discrete Structures, Boolean Functions and Sequences 17 (5), 2025, pp. 1367–1406.
Kieffer, Jean; Page, Aurel; Robert, Damien:
Computing isogenies from modular equations in genus two.
Journal of Algebra 666, 2025, pp. 331–386.
Pope, Giacomo; Reijnders, Krijn; Robert, Damien; Sferlazza, Alessandro; Smith, Benjamin:
Simpler and Faster Pairings from the Montgomery Ladder.
Communications in Cryptology 2 (2), 2025.
Sikirić, Mathieu Dutour; van Woerden, Wessel:
Complete classification of six-dimensional iso-edge domains.
Acta Crystallographica Section A: Foundations and Advances 81 (1), 2025, pp. 9–15.

Conferences

Allombert, Bill; Biasse, Jean-François; Eriksen, Jonathan Komada; Kutas, Péter; Leonardi, Chris; Page, Aurel; Scheidler, Renate; Tot Bagi, Marton:
Faster SCALLOP from Non-Prime Conductor Suborders in Medium Sized Quadratic Fields.
In Jager, Tibor; Pan, Jiaxin (editors):
Public-Key Cryptography – PKC 2025, Part III.
Lecture Notes in Computer Science vol. 15676.
Springer Nature Switzerland, 2025, pp. 333–363.
Allombert, Bill; Pellet–Mary, Alice; van Woerden, Wessel:
Cryptanalysis of Rank-2 Module-LIP: A Single Real Embedding Is All It Takes.
In Fehr, Serge; Fouque, Pierre-Alain (editors):
Advances in Cryptology – EUROCRYPT 2025, Part II.
Lecture Notes in Computer Science vol. 15602.
Springer Nature Switzerland, 2025, pp. 184–212.
Basso, Andreas; De Feo, Luca; Dartois, Pierrick; Leroux, Antonin; Maino, Luciano; Pope, Giacomo; Robert, Damien; Wesolowski, Benjamin:
SQIsign2D-West: The Fast, the Small, and the Safer.
In Chung, Kai-Min; Sasaki, Yu (editors):
Advances in Cryptology – ASIACRYPT 2024, Part III.
Lecture Notes in Computer Science vol. 15486.
Springer Nature Switzerland, 2025, pp. 339–370.
Chevignard, Clémence; Mureau, Guilhem; Espitau, Thomas; Pellet-Mary, Alice; Pliatsok, Heorhii; Wallet, Alexandre:
A Reduction from Hawk to the Principal Ideal Problem in a Quaternion Algebra.
In Fehr, Serge; Fouque, Pierre-Alain (editors):
Advances in Cryptology – EUROCRYPT 2025, Part II.
Lecture Notes in Computer Science vol. 15602.
Springer Nature Switzerland, 2025, pp. 154–183.
Dartois, Pierrick; Maino, Luciano; Pope, Giacomo; Robert, Damien:
An Algorithmic Approach to (2, 2)-isogenies in the Theta Model and Applications to Isogeny-based Cryptography.
In Chung, Kai-Min; Sasaki, Yu (editors):
Advances in Cryptology – ASIACRYPT 2024, Part III.
Lecture Notes in Computer Science vol. 15486.
Springer Nature Switzerland, 2025, pp. 304–338.
Robert, Damien:
On the efficient representation of isogenies – A Survey for NuTMiC 2024.
In Dąbrowski, Andrzej; Pieprzyk, Josef; Pomykała, Jacek (editors):
Number-Theoretic Methods in Cryptology – NuTMiC 2024.
Lecture Notes in Computer Science vol. 14966.
Springer Nature Switzerland, 2025, pp. 3–84.
Robert, Damien; Sarkis, Nicolas:
Halving Differential Additions on Kummer Lines.
In Fehr, Serge; Fouque, Pierre-Alain (editors):
Advances in Cryptology – EUROCRYPT 2025, Part VI.
Lecture Notes in Computer Science vol. 15606.
Springer Nature Switzerland, 2025, pp. 416–445.
van Woerden, Wessel:
Dense and Smooth Lattices in Any Genus.
In Chung, Kai-Min; Sasaki, Yu (editors):
Advances in Cryptology – ASIACRYPT 2024, Part IV.
Lecture Notes in Computer Science vol. 15487.
Springer Nature Switzerland, 2025, pp. 386–417.

Preprints

Adamczewski, Boris; Bostan, Alin; Caruso, Xavier:
A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products.
HAL 4116793, 2025.
Ahlbäck, Albin; Johansson, Fredrik:
Fast basecases for arbitrary-size multiplication.
HAL 4861755, 2025.
Asuncion, Jared:
Computing the Hilbert Class Fields of Quartic CM Fields Using Complex Multiplication.
HAL 3210279, 2025.
Barbulescu, Razvan:
(Non)practicabilité de l'algorithme classique-quantique de factorisation des entiers.
HAL 3483274, 2025.
Barbulescu, Razvan:
Rigorous time bound for factoring with elliptic curves.
HAL 3485435, 2025.
Barraud, Alix:
Dual of Algebraic Geometry Codes from Hirzebruch Surfaces.
HAL 5290224, 2025.
Barbulescu, Razvan; Barcau, Mugurel; Pasol, Vicentiu:
A comprehensive analysis of Regev's quantum algorithm.
HAL 4833072, 2025.
Barbulescu, Razvan; Bisson, Gaetan:
Regev's attack on hyperelliptic cryptosystems.
HAL 4832839, 2025.
Barbulescu, Razvan; El Mrabet, Nadia; Ghammam, Loubna:
A taxonomy of pairings, their security, their complexity.
HAL 2129868, 2025.
Barbulescu, Razvan; Robert, Damien; Sarkis, Nicolas:
Models of Kummer lines and Galois representations.
HAL 5002656, 2025.
Berardini, Elena; Maidana, Alejandro Giangreco; Marseglia, Stefano:
Abelian surfaces over finite fields containing no curves of genus 3 or less.
HAL 4692637, 2025.
Belabas, Karim; Perrin-Riou, Bernadette:
Symboles modulaires surconvergents et fonctions $L$ $p$-adiques.
HAL 3112844, 2025.
de Boer, Koen; Page, Aurel; Toma, Radu; Wesolowski, Benjamin:
Average hardness of SIVP for module lattices of fixed rank.
HAL 5372629, 2025.
de Boer, Koen; Pellet-Mary, Alice; Wesolowski, Benjamin:
Rigorous Methods for Computational Number Theory.
HAL 5365649, 2025.
Caruso, Xavier; Drain, Fabrice:
Selfdual skew cyclic codes.
HAL 4127001, 2025.
Caruso, Xavier; Fürnsinn, Florian; Vargas-Montoya, Daniel:
Galois groups of reductions modulo p of D-finite series.
HAL 5034178, 2025.
Caruso, Xavier; Gazda, Quentin:
Computation of classical and v-adic L-series of t-motives.
HAL 4410981, 2025.
ANTS-XVI.
Caruso, Xavier; Gazda, Quentin; Lucas, Alexis:
Wieferich primes for Drinfeld modules.
HAL 4837662, 2025.
Caruso, Xavier; Leudière, Antoine:
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules.
HAL 4151171, 2025.
To appear in Mathematics of Computation in 2026, https://www.ams.org/journals/mcom/2026-95-357/S0025-5718-2025-04052-3/.
Cohen, Henri; Zudilin, Wadim:
Variations on a theme of Apéry.
HAL 4932961, 2025.
Couveignes, Jean-Marc; Gasnier, Jean:
Explicit Riemann-Roch spaces in the Hilbert class field.
HAL 4219975, 2025.
To appear in proceedings of AGCT2023 (Contemporary Mathematics).
Couveignes, Jean-Marc; Lercier, Reynald:
Elliptic butterflies.
HAL 5342789, 2025.
Dartois, Pierrick:
Fast computation of 2-isogenies in dimension 4 and cryptographic applications.
HAL 4662137, 2025.
Dartois, Pierrick; Eriksen, Jonathan Komada; Fouotsa, Tako Boris; Merdy, Arthur Herlédan Le; Invernizzi, Riccardo; Robert, Damien; Rueger, Ryan; Vercauteren, Frederik; Wesolowski, Benjamin:
PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies.
HAL 4987747, 2025.
Eid, Élie:
Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations.
HAL 3142205, 2025.
Enge, Andreas; Streng, Marco:
Schertz style class invariants for quartic CM fields.
HAL 1377376, 2025.
To appear in Mathematics of Computation, https://doi.org/10.1090/mcom/4118.
Étienne, Fabrice:
Computing class groups by induction with generalised norm relations.
HAL 4778100, 2025.
Étienne, Fabrice:
An algorithm to compute Selmer groups via resolutions by permutation modules.
HAL 5038206, 2025.
Gasnier, Jean; Guillevic, Aurore:
An Algebraic Point of View on the Generation of Pairing-Friendly Curves.
HAL 4205681, 2025.
Johansson, Fredrik:
Generic rings in FLINT.
HAL 5094763, 2025.
Kunzweiler, Sabrina; Maino, Luciano; Moriya, Tomoki; Petit, Christophe; Pope, Giacomo; Robert, Damien; Stopar, Miha; Ti, Yan Bo:
Radical 2-isogenies and cryptographic hash functions in dimensions 1, 2 and 3.
HAL 4837057, 2025.
Kunzweiler, Sabrina; Wewers, Stefan:
Integral differential forms for superelliptic curves.
HAL 5329838, 2025.
To appear in Mathematics of Computation, https://doi.org/10.1090/mcom/4115.
Lubicz, David; Robert, Damien:
Linear representation of endomorphisms of Kummer varieties.
HAL 3204365, 2025.
Mayer, Daniel C.; Aouissi, Siham; Allombert, Bill; Soullami, Abderazak:
Group theory of cyclic cubic number fields.
HAL 4930854, 2025.
Maiga, Abdoulaye; Robert, Damien:
Computing the Canonical Lift of Genus 2 Curves in Odd Characteristics.
HAL 3738314, 2025.
Maiga, Abdoulaye; Robert, Damien:
Towards computing canonical lifts of ordinary elliptic curves in medium characteristic.
HAL 3702658, 2025.
Chevignard, Clémence; Mureau, Guilhem:
Ideally HAWKward: How Not to Break Module-LIP.
HAL 5235811, 2025.
CFAIL 2025.
Page, Aurel; Robert, Damien:
Introducing Clapoti(s): Evaluating the isogeny class group action in polynomial time.
HAL 4327451, 2025.
Robert, Damien:
Evaluating isogenies in polylogarithmic time.
HAL 3943970, 2025.
Robert, Damien:
Some applications of higher dimensional isogenies to elliptic curves.
HAL 3943973, 2025.
Robert, Damien:
The geometric interpretation of the Tate pairing and its applications.
HAL 4295743, 2025.
Robert, Damien:
Fast pairings via biextensions and cubical arithmetic.
HAL 4848028, 2025.
Robert, Damien:
The module action for isogeny based cryptography.
HAL 4848019, 2025.
Stempfle, Lena; James, Arthur; Josse, Julie; Gauss, Tobias; Johansson, Fredrik:
Expert Study on Interpretable Machine Learning Models with Missing Data.
HAL 4894332, 2025.