Vol. 4, No. 1, 2020
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Proceedings of the Fourteenth Algorithmic Number Theory Symposium
Edited by Steven D. Galbraith
DOI:
10.2140/obs.2020.4-1
Contents
Commitment schemes and diophantine equations
1–5
José Felipe Voloch
Supersingular curves with small noninteger endomorphisms
7–22
Jonathan Love and Dan Boneh
Cubic post-critically finite polynomials defined over $\mathbb{Q}$
23–38
Jacqueline Anderson, Michelle Manes and Bella Tobin
Faster computation of isogenies of large prime degree
39–55
Daniel J. Bernstein, Luca De Feo, Antonin Leroux and Benjamin Smith
On the security of the multivariate ring learning with errors problem
57–71
Carl Bootland, Wouter Castryck and Frederik Vercauteren
Two-cover descent on plane quartics with rational bitangents
73–89
Nils Bruin and Daniel Lewis
Abelian surfaces with fixed $3$-torsion
91–108
Frank Calegari, Shiva Chidambaram and David P. Roberts
Lifting low-gonal curves for use in Tuitman's algorithm
109–125
Wouter Castryck and Floris Vermeulen
Simultaneous diagonalization of incomplete matrices and applications
127–142
Jean-Sébastien Coron, Luca Notarnicola and Gabor Wiese
Hypergeometric $L$-functions in average polynomial time
143–159
Edgar Costa, Kiran S. Kedlaya and David Roe
Genus 3 hyperelliptic curves with CM via Shimura reciprocity
161–178
Bogdan Adrian Dina and Sorina Ionica
A canonical form for positive definite matrices
179–195
Mathieu Dutour Sikirić, Anna Haensch, John Voight and Wessel P.J. van Woerden
Computing Igusa's local zeta function of univariates in deterministic polynomial-time
197–214
Ashish Dwivedi and Nitin Saxena
Computing endomorphism rings of supersingular elliptic curves and connections to path-finding in isogeny graphs
215–232
Kirsten Eisenträger, Sean Hallgren, Chris Leonardi, Travis Morrison and Jennifer Park
New rank records for elliptic curves having rational torsion
233–250
Noam D. Elkies and Zev Klagsbrun
The nearest-colattice algorithm: Time-approximation tradeoff for approx-CVP
251–266
Thomas Espitau and Paul Kirchner
Cryptanalysis of the generalised Legendre pseudorandom function
267–282
Novak Kaluđerović, Thorsten Kleinjung and Dušan Kostić
Counting Richelot isogenies between superspecial abelian surfaces
283–300
Toshiyuki Katsura and Katsuyuki Takashima
Algorithms to enumerate superspecial Howe curves of genus 4
301–316
Momonari Kudo, Shushi Harashita and Everett W. Howe
Divisor class group arithmetic on $C_{3,4}$ curves
317–334
Evan MacNeil, Michael J. Jacobson Jr. and Renate Scheidler
Reductions between short vector problems and simultaneous approximation
335–351
Daniel E. Martin
Computation of paramodular forms
353–370
Gustavo Rama and Gonzalo Tornaría
An algorithm and estimates for the Erdős–Selfridge function
371–385
Brianna Sorenson, Jonathan Sorenson and Jonathan Webster
Totally $p$-adic numbers of degree 3
387–401
Emerald Stacy
Counting points on superelliptic curves in average polynomial time
403–422
Andrew V. Sutherland
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