2026

Journal

Caruso, Xavier; Leudière, Antoine:
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules.
Mathematics of Computation 95, 2026, pp. 415–455.

Conference

Galbraith, Steven; Gilchrist, Valerie; Robert, Damien:
Improved Algorithms for Ascending Isogeny Volcanoes, and Applications.
In Escudero, Daniel; Damgård, Ivan (editors):
Advances in Cryptology – LATINCRYPT 2025.
Lecture Notes in Computer Science vol. 16129.
Springer Nature Switzerland, 2026, pp. 174–208.

Preprints

Adamczewski, Boris; Bostan, Alin; Caruso, Xavier:
A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products.
HAL 4116793, 2026.
Ahlbäck, Albin; Johansson, Fredrik:
Fast basecases for arbitrary-size multiplication.
HAL 4861755, 2026.
Armana, Cécile; Berardini, Elena; Caruso, Xavier; Leudière, Antoine; Nardi, Jade; Pazuki, Fabien:
A computational approach to Drinfeld modules.
HAL 5423892, 2026.
Asuncion, Jared:
Computing the Hilbert Class Fields of Quartic CM Fields Using Complex Multiplication.
HAL 3210279, 2026.
Barbulescu, Razvan:
(Non)practicabilité de l'algorithme classique-quantique de factorisation des entiers.
HAL 3483274, 2026.
Barbulescu, Razvan:
Rigorous time bound for factoring with elliptic curves.
HAL 3485435, 2026.
Barbulescu, Razvan:
Logarithmic density of rank ≥ 1 and rank ≥ 2 genus-2 Jacobians and applications to hyperelliptic curve cryptography.
HAL 5474812, 2026.
Barraud, Alix:
Dual of Algebraic Geometry Codes from Hirzebruch Surfaces.
HAL 5290224, 2026.
Barbulescu, Razvan; Barcau, Mugurel; Pasol, Vicentiu:
A comprehensive analysis of Regev's quantum algorithm.
HAL 4833072, 2026.
Barbulescu, Razvan; Bisson, Gaetan:
Regev's attack on hyperelliptic cryptosystems.
HAL 4832839, 2026.
Barbulescu, Razvan; El Mrabet, Nadia; Ghammam, Loubna:
A taxonomy of pairings, their security, their complexity.
HAL 2129868, 2026.
Barbulescu, Razvan; Robert, Damien; Sarkis, Nicolas:
Models of Kummer lines and Galois representations.
HAL 5002656, 2026.
Berardini, Elena; Maidana, Alejandro Giangreco; Marseglia, Stefano:
Abelian surfaces over finite fields containing no curves of genus 3 or less.
HAL 4692637, 2026.
Belabas, Karim; Perrin-Riou, Bernadette:
Symboles modulaires surconvergents et fonctions $L$ $p$-adiques.
HAL 3112844, 2026.
de Boer, Koen; Page, Aurel; Toma, Radu; Wesolowski, Benjamin:
Average hardness of SIVP for module lattices of fixed rank.
HAL 5372629, 2026.
de Boer, Koen; Pellet-Mary, Alice; Wesolowski, Benjamin:
Rigorous Methods for Computational Number Theory.
HAL 5365649, 2026.
Caruso, Xavier; Drain, Fabrice:
Selfdual skew cyclic codes.
HAL 4127001, 2026.
Caruso, Xavier; Fürnsinn, Florian:
Algorithms for Algebraic and Arithmetic Attributes of Hypergeometric Functions.
HAL 5472471, 2026.
Caruso, Xavier; Fürnsinn, Florian:
Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath.
HAL 5493186, 2026.
Caruso, Xavier; Fürnsinn, Florian; Vargas-Montoya, Daniel:
Galois groups of reductions modulo p of D-finite series.
HAL 5034178, 2026.
Caruso, Xavier; Gazda, Quentin:
Computation of classical and v-adic L-series of t-motives.
HAL 4410981, 2026.
ANTS-XVI.
Caruso, Xavier; Gazda, Quentin; Lucas, Alexis:
Wieferich primes for Drinfeld modules.
HAL 4837662, 2026.
Cohen, Henri; Zudilin, Wadim:
Variations on a theme of Apéry.
HAL 4932961, 2026.
Couveignes, Jean-Marc; Gasnier, Jean:
Explicit Riemann-Roch spaces in the Hilbert class field.
HAL 4219975, 2026.
To appear in proceedings of AGCT2023 (Contemporary Mathematics).
Couveignes, Jean-Marc; Lercier, Reynald:
Elliptic butterflies.
HAL 5342789, 2026.
Dartois, Pierrick:
Fast computation of 2-isogenies in dimension 4 and cryptographic applications.
HAL 4662137, 2026.
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, 2026.
Eid, Élie:
Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations.
HAL 3142205, 2026.
Enge, Andreas; Streng, Marco:
Schertz style class invariants for quartic CM fields.
HAL 1377376, 2026.
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, 2026.
Étienne, Fabrice:
An algorithm to compute Selmer groups via resolutions by permutation modules.
HAL 5038206, 2026.
Gasnier, Jean; Guillevic, Aurore:
An Algebraic Point of View on the Generation of Pairing-Friendly Curves.
HAL 4205681, 2026.
Johansson, Fredrik:
Generic rings in FLINT.
HAL 5094763, 2026.
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, 2026.
Kunzweiler, Sabrina; Wewers, Stefan:
Integral differential forms for superelliptic curves.
HAL 5329838, 2026.
To appear in Mathematics of Computation, https://doi.org/10.1090/mcom/4115.
Lin, Jianming; Robert, Damien; Zhao, Chang-An; Zheng, Yuhao:
Biextensions in pairing-based cryptography.
HAL 5468414, 2026.
To appear in Designs, Codes and Cryptography, https://dx.doi.org/10.1007/s10623-025-01762-1.
Lubicz, David; Robert, Damien:
Linear representation of endomorphisms of Kummer varieties.
HAL 3204365, 2026.
Maiga, Abdoulaye; Robert, Damien:
Computing the Canonical Lift of Genus 2 Curves in Odd Characteristics.
HAL 3738314, 2026.
Maiga, Abdoulaye; Robert, Damien:
Towards computing canonical lifts of ordinary elliptic curves in medium characteristic.
HAL 3702658, 2026.
Chevignard, Clémence; Mureau, Guilhem:
Ideally HAWKward: How Not to Break Module-LIP.
HAL 5235811, 2026.
CFAIL 2025.
Page, Aurel; Robert, Damien:
Introducing Clapoti(s): Evaluating the isogeny class group action in polynomial time.
HAL 4327451, 2026.
Robert, Damien:
Evaluating isogenies in polylogarithmic time.
HAL 3943970, 2026.
Robert, Damien:
Some applications of higher dimensional isogenies to elliptic curves.
HAL 3943973, 2026.
Robert, Damien:
The geometric interpretation of the Tate pairing and its applications.
HAL 4295743, 2026.
Robert, Damien:
Fast pairings via biextensions and cubical arithmetic.
HAL 4848028, 2026.
Robert, Damien:
The module action for isogeny based cryptography.
HAL 4848019, 2026.
Stempfle, Lena; James, Arthur; Josse, Julie; Gauss, Tobias; Johansson, Fredrik:
Expert Study on Interpretable Machine Learning Models with Missing Data.
HAL 4894332, 2026.