2021
Books
Journals
- Xavier Caruso:
A theory of residues for skew rational functions.
Journal de l'École polytechnique — Mathématiques 8, 2021, pp. 1152–1192. - Ronald Cramer, Léo Ducas and Benjamin Wesolowski:
Mildly Short Vectors in Cyclotomic Ideal Lattices in Quantum Polynomial Time.
Journal of the ACM 68 (2), 2021, pp. 8:1–26. - Eduardo Friedman, Fredrik Johansson and Gabriel Ramirez-Raposo:
The minimal Fried average entropy for higher-rank Cartan actions.
Mathematics of Computation 90 (328), 2021, pp. 973–978. - Christian Maire and Aurel Page:
Codes from unit groups of division algebras over number fields.
Mathematische Zeitschrift 298 (1–2), 2021, pp. 327–348.
Conferences
- Xavier Caruso, Tristan Vaccon and Thibaut Verron:
On FGLM Algorithms with Tate Algebras.
In Frédéric Chyzak, George Labahn and Marc Mezzarobba (editors):
International Symposium on Symbolic and Algebraic Computation — ISSAC 2021
ACM, New York 2021, pp. 67–74. - Elie Eid:
Fast computation of hyperelliptic curve isogenies in odd characteristic.
In Frédéric Chyzak, George Labahn and Marc Mezzarobba (editors):
International Symposium on Symbolic and Algebraic Computation — ISSAC 2021
ACM, New York 2021, pp. 131–138. - Fredrik Johansson:
Calcium: Computing in Exact Real and Complex Fields.
In Frédéric Chyzak, George Labahn and Marc Mezzarobba (editors):
International Symposium on Symbolic and Algebraic Computation — ISSAC 2021
ACM, New York 2021, pp. 225–232. - Raphaël Pagès:
Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time.
In Frédéric Chyzak, George Labahn and Marc Mezzarobba (editors):
International Symposium on Symbolic and Algebraic Computation — ISSAC 2021
ACM, New York 2021, pp. 329–336.
Preprints
- Jared Asuncion:
Computing the Hilbert Class Fields of Quartic CM Fields Using Complex Multiplication.
HAL 3210279, 2021. - Razvan Barbulescu, Nadia El Mrabet and Loubna Ghammam:
A taxonomy of pairings, their security, their complexity.
HAL 2129868, 2021. - Razvan Barbulescu and Sudarshan Shinde:
A classification of ECM-friendly families using modular curves.
HAL 1822144, 2021. - Karim Belabas and Bernadette Perrin-Riou:
Symboles modulaires surconvergents et fonctions $L$ $p$-adiques.
HAL 3112844, 2021. - Jean-François Biasse, Claus Fieker, Tommy Hofmann and Aurel Page:
Norm relations and computational problems in number fields.
HAL 2497890, 2021. - Xavier Caruso, Elie Eid and Reynald Lercier:
Fast computation of elliptic curve isogenies in characteristic two.
HAL 2508825, 2021.
To appear in Journal of the London Mathematical Society. - Xavier Caruso, Marc Mezzarobba, Nobuki Takayama and Tristan Vaccon:
Fast evaluation of some $p$-adic transcendental functions.
HAL 3263044, 2021. - Xavier Caruso:
Polynômes de Ore en une variable.
HAL 1673910, 2021. - Xavier Caruso:
Where are the zeroes of a random $p$-adic polynomial?.
HAL 2557280, 2021. - Xavier Caruso, Agnès David and Ariane Mézard:
Combinatorics of Serre weights in the potentially Barsotti–Tate setting.
HAL 3221168, 2021. - Xavier Caruso and Amaury Durand:
Reed–Solomon–Gabidulin Codes.
HAL 1949409, 2021. - Henri Cohen:
Computing $L$-Functions of Quadratic Characters at Negative Integers.
HAL 3139244, 2021. - Henri Cohen:
Lambert $W$-Function Branch Identities.
HAL 3087491, 2021. - Henri Cohen and Jesús Guillera:
Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations.
HAL 3139250, 2021. - Jean-Marc Couveignes:
Short models of global fields.
HAL 2989008, 2021. - Alina Dudeanu, Dimitar Jetchev, Damien Robert and Marius Vuille:
Cyclic Isogenies for Abelian Varieties with Real Multiplication.
HAL 1629829, 2021. - Andreas Enge and Marco Streng:
Schertz style class invariants for quartic CM fields.
HAL 1377376, 2021. - Robert Granger, Thorsten Kleinjung, Arjen K. Lenstra, Benjamin Wesolowski and Jens Zumbrägel:
Computation of a 30750-Bit Binary Field Discrete Logarithm.
HAL 2945361, 2021.
To appear in Mathematics of Computation. - Fredrik Johansson:
Computing isolated coefficients of the $j$-function.
HAL 3030172, 2021. - Fredrik Johansson:
On a fast and nearly division-free algorithm for the characteristic polynomial.
HAL 3016034, 2021. - Fredrik Johansson:
FunGrim: a symbolic library for special functions.
HAL 2506816, 2021. - Jean Kieffer:
Degree and height estimates for modular equations on PEL Shimura varieties.
HAL 2436057, 2021. - Jean Kieffer:
Evaluating modular polynomials in genus 2.
HAL 2971326, 2021. - Jean Kieffer:
Sign choices in the AGM for genus two theta constants.
HAL 2967220, 2021. - Jean Kieffer:
Upper bounds on the heights of polynomials and rational fractions from their values.
HAL 3226568, 2021. - Markus Kirschmer, Fabien Narbonne, Christophe Ritzenthaler and Damien Robert:
Spanning the isogeny class of a power of an ordinary elliptic curve over a finite field. Application to the number of rational points of curves of genus ≤4.
HAL 2554714, 2021.
To appear in Mathematics of Computation. - Jean Kieffer, Aurel Page and Damien Robert:
Computing isogenies from modular equations in genus two.
HAL 2436133, 2021. - Pınar Kılıçer and Marco Streng:
The CM class number one problem for curves of genus 2.
HAL 1248630, 2021. - Thorsten Kleinjung and Benjamin Wesolowski:
Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic.
HAL 3347994, 2021.
To appear in Journal of the American Mathematical Society. - David Lubicz and Damien Robert:
Linear representation of endomorphisms of Kummer varieties.
HAL 3204365, 2021. - Abdoulaye Maiga and Damien Robert:
Computing the 2-adic Canonical Lift of Genus 2 Curves.
HAL 3119147, 2021.
To appear in ICMC 2021 - 7th International Conference on Mathematics and Computing, March 2021, Shibpur, https://www.icmc2021.in/. - Alice Pellet-Mary and Damien Stehlé:
On the hardness of the NTRU problem.
HAL, 2021.
To appear in Asiacrypt 2021. - Benjamin Wesolowski and Ryan Williams:
Lower bounds for the depth of modular squaring.
HAL 3038044, 2021. - Benjamin Wesolowski:
The supersingular isogeny path and endomorphism ring problems are equivalent.
In: IEEE Symposium on Foundations of Computer Science — FOCS 2021
HAL, 2021.
To appear in FOCS 2021 in February 2022.
