2022

Journals

• Thorsten Kleinjung and Benjamin Wesolowski:
  Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic.
  Journal of the American Mathematical Society 35 (2), 2022, pp. 581–624.

Conferences

• Abdoulaye Maiga and Damien Robert:
  Computing the 2-Adic Canonical Lift of Genus 2 Curves.
  In Debasis Giri, Kim-Kwang Raymond Choo, Saminathan Ponnusamy, Weizhi Meng, Sedat Akleylek and Santi Prasad Maity (editors):
  Proceedings of the Seventh International Conference on Mathematics and Computing – ICMC 2021
  Advances in Intelligent Systems and Computing vol. 1412.
  Springer, Singapore 2022, pp. 637–672.
• Benjamin Wesolowski:
  The supersingular isogeny path and endomorphism ring problems are equivalent.
  In Nisheeth K. Vishnoi (editors):
  IEEE Symposium on Foundations of Computer Science — FOCS 2021
  The Institute of Electrical and Electronics Engineers, Los Alamitos 2022, pp. 1100–1111.

Preprints

• Jared Asuncion:
  Computing the Hilbert Class Fields of Quartic CM Fields Using Complex Multiplication.
  HAL 3210279, 2022.
• Razvan Barbulescu:
  (Non)practicabilité de l'algorithme classique-quantique de factorisation des entiers.
  HAL 3483274, 2022.
• Razvan Barbulescu:
  Rigorous time bound for factoring with elliptic curves.
  HAL 3485435, 2022.
• Razvan Barbulescu, Nadia El Mrabet and Loubna Ghammam:
  A taxonomy of pairings, their security, their complexity.
  HAL 2129868, 2022.
• Razvan Barbulescu and Sudarshan Shinde:
  A classification of ECM-friendly families using modular curves.
  HAL 1822144, 2022.
  To appear in Mathematics of Computation, https://doi.org/10.1090/mcom/3697.
• Karim Belabas and Bernadette Perrin-Riou:
  Symboles modulaires surconvergents et fonctions $L$ $p$-adiques.
  HAL 3112844, 2022.
• Jean-François Biasse, Claus Fieker, Tommy Hofmann and Aurel Page:
  Norm relations and computational problems in number fields.
  HAL 2497890, 2022.
  To appear in Journal of the London Mathematical Society, https://doi.org/10.1112/jlms.12563.
• Xavier Caruso, Agnès David and Ariane Mézard:
  Can we dream of a 1-adic Langlands correspondence?.
  HAL 3648316, 2022.
• Xavier Caruso, Marc Mezzarobba, Nobuki Takayama and Tristan Vaccon:
  Fast evaluation of some $p$-adic transcendental functions.
  HAL 3263044, 2022.
• Xavier Caruso:
  Where are the zeroes of a random $p$-adic polynomial?.
  HAL 2557280, 2022.
• Xavier Caruso, Agnès David and Ariane Mézard:
  Combinatorics of Serre weights in the potentially Barsotti–Tate setting.
  HAL 3221168, 2022.
• Xavier Caruso and Amaury Durand:
  Duals of linearized Reed–Solomon codes.
  HAL 3395402, 2022.
• Xavier Caruso, Tristan Vaccon and Thibaut Verron:
  On Polynomial Ideals And Overconvergence In Tate Algebras.
  HAL 3574662, 2022.
• Henri Cohen:
  Computing $L$-Functions of Quadratic Characters at Negative Integers.
  HAL 3139244, 2022.
• Henri Cohen:
  Lambert $W$-Function Branch Identities.
  HAL 3087491, 2022.
• Henri Cohen and Jesús Guillera:
  Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations.
  HAL 3139250, 2022.
• Jean-Marc Couveignes:
  Short models of global fields.
  HAL 2989008, 2022.
• Jean-Marc Couveignes and Tony Ezome:
  The equivariant complexity of multiplication in finite field extensions.
  HAL 3410146, 2022.
• Luca de Feo, Cyprien Delpech de Saint Guilhem, Tako Boris Fouotsa, Péter Kutas, Antonin Leroux, Christophe Petit, Javier Silva and Benjamin Wesolowski:
  Séta: Supersingular Encryption from Torsion Attacks.
  HAL 3471926, 2022.
• Alina Dudeanu, Dimitar Jetchev, Damien Robert and Marius Vuille:
  Cyclic Isogenies for Abelian Varieties with Real Multiplication.
  HAL 1629829, 2022.
• Élie Eid:
  Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations.
  HAL 3142205, 2022.
• Andreas Enge and Marco Streng:
  Schertz style class invariants for quartic CM fields.
  HAL 1377376, 2022.
• Fredrik Johansson:
  Computing isolated coefficients of the $j$-function.
  HAL 3030172, 2022.
• Fredrik Johansson:
  On a fast and nearly division-free algorithm for the characteristic polynomial.
  HAL 3016034, 2022.
• Fredrik Johansson:
  FunGrim: a symbolic library for special functions.
  HAL 2506816, 2022.
• Fredrik Johansson:
  Arbitrary-precision computation of the gamma function.
  HAL 3346642, 2022.
• Fredrik Johansson:
  Rapid computation of special values of Dirichlet $L$-functions.
  HAL 3386620, 2022.
• Fredrik Johansson:
  Computing elementary functions using multi-prime argument reduction.
  HAL 3714660, 2022.
• Jean Kieffer:
  Degree and height estimates for modular equations on PEL Shimura varieties.
  HAL 2436057, 2022.
• Jean Kieffer:
  Evaluating modular polynomials in genus 2.
  HAL 2971326, 2022.
• Jean Kieffer:
  Sign choices in the AGM for genus two theta constants.
  HAL 2967220, 2022.
• Jean Kieffer:
  Upper bounds on the heights of polynomials and rational fractions from their values.
  HAL 3226568, 2022.
• Jean Kieffer, Aurel Page and Damien Robert:
  Computing isogenies from modular equations in genus two.
  HAL 2436133, 2022.
• Pınar Kılıçer and Marco Streng:
  The CM class number one problem for curves of genus 2.
  HAL 1248630, 2022.
• David Lubicz and Damien Robert:
  Linear representation of endomorphisms of Kummer varieties.
  HAL 3204365, 2022.
• David Lubicz and Damien Robert:
  Fast change of level and applications to isogenies.
  HAL 3738315, 2022.
  To appear in proceedings of ANTS-XV.
• Abdoulaye Maiga and Damien Robert:
  Computing the Canonical Lift of Genus 2 Curves in Odd Characteristics.
  HAL 3738314, 2022.
• Abdoulaye Maiga and Damien Robert:
  Towards computing canonical lifts of ordinary elliptic curves in medium characteristic.
  HAL 3702658, 2022.
• Benjamin Wesolowski and Ryan Williams:
  Lower bounds for the depth of modular squaring.
  HAL 3038044, 2022.
• Benjamin Wesolowski:
  A proof of time or knowledge.
  HAL 3380471, 2022.