Seventeenth Algorithmic Number Theory Symposium
Papers presented at ANTS XVII
Eric Bach, Jonathan Sorenson :Algorithms to generate factored smooth integers (paper , code , talk )
Rayane Baït, Aurel Page :Computing the cohomology of Shimura curves in quasi-linear time (paper , code , talk )
Barinder S. Banwait , Xiaoyu Huang :On the identification of elliptic curves that admit infinitely many twists satisfying the Birch–Swinnerton-Dyer conjecture (paper , code , data , talk )Razvan Barbulescu , Mugurel Barcau , Vicentiu Pasol , George Turcas :Logarithmic density of rank ≥ 1 and rank ≥ 2 genus-2 Jacobians and applications to hyperelliptic curve cryptography (paper , code , talk )Ryan Batubara, Jack Garzella , Yongyuan Huang , Maximus Mellberg:Newton strata realization for hypersurfaces via explicit p-adic cohomology (paper , code , code , code , talk )
Raymond van Bommel , Céline Maistret , Jia Shi , Andrew Sutherland :Abelian surfaces of small conductor from genus 3 covers (paper , code , talk )Nils Bruin, Brendan Creutz:Explicit Brauer-Manin obstructions on plane quartics (paper , code , talk )
Blair Butler, Andreas-Stephan Elsenhans:Arithmetic information of rational elliptic surfaces, and Shioda’s rank 68 surface (paper , code , talk )
Wouter Castryck, Jonathan Komada Eriksen, Riccardo Invernizzi , Frederik Vercauteren:The principal ideal problem for endomorphism rings of superspecial abelian varieties (paper , code , talk )
Edgar Costa , Taylor Dupuy , Stefano Marseglia , David Roe , Christelle Vincent :Ordinary abelian varieties: Isogeny graphs and polarizations (paper , code , talk )Mateo Crabit Nicolau :Generating series techniques for computing Darmon-Dasgupta units over real quadratic fields (paper , code , talk )Pierrick Dartois , Max Duparc :Chasing rabbits through hypercubes: Better algorithms for higher dimensional 2-isogeny computations (paper , code , talk )Maarten Derickx , Kenji Terao :Computing class groups and gonalities of algebraic curves over finite fields (paper , code , talk )Noam Elkies:The 167889 even lattices of rank 18 and discriminant 163 (paper , data , talk )
Stephan Elsenhans :Numerical verification of the Collatz conjecture for billion digit random numbers (paper , code , talk )Pierrick Gaudry , Julien Soumier , Pierre-Jean Spaenlehauer :Computing isomorphisms between products of supersingular elliptic curves (paper , code , talk )Jordi Guàrdia i Rúbies , John W. Jones , Kevin Keating , Sebastian Pauli , David P. Roberts , David Roe :Distinguished defining polynomials for extensions of p-adic fields (paper , code , data , talk )David Harvey , Markus Hittmeir:Deterministic methods for finding elements of large multiplicative order (paper , talk )Everett Howe :Curves of genus two with maps of every degree to a fixed elliptic curve (paper , code , talk )Marius Leonhardt , Martin Lüdtke :Affine Chabauty II (paper , code , talk )Antonin Leroux :Efficient quaternion algorithms for the Deuring correspondence and application to the evaluation of modular polynomials (paper , code , talk )Antoine Leudière , Renate Scheidler :Computing submodules of points of general Drinfeld modules over finite fields (paper , code , talk )Jacob Mayle , Jeremy Rouse :Rational points on modular curves via maps to elliptic curves with rank zero (paper , code , talk )Abhijit S. Mudigonda :Computing Hilbert modular forms of nonparitious weight (paper , code , talk )Erik Mulder, Bruno Sterner, Wessel van Woerden:Large smooth twins from short lattice vectors (paper , code , data , talk )
Lorenz Panny , Damien Robert , Alessandro Sferlazza :Hensel-lifting black-box algorithms and fast trace computation for elliptic-curve endomorphisms (paper , code , talk )Andrew Shallue , Jonathan Webster :Algorithms for Carmichael numbers (paper , code , data , data , talk )
