Fifteenth Algorithmic Number Theory Symposium, ANTS-XV,
University of Bristol
August 8 - 12, 2022
Accepted papers ANTS XV
- Nikola Adžaga, Shiva Chidambaram, Timo Keller and Oana Padurariu.
Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
- Samuele Anni, Eran Assaf and Elisa Lorenzo García.
On smooth plane models for modular curves of Shimura type
Eran Assaf, Dan Fretwell, Colin Ingalls, Adam Logan, Spencer Secord and John Voight.
Definite Orthogonal Modular Forms: Computations, Excursions and Discoveries
Daniel J. Bernstein.
Fast norm computation in smooth-degree Abelian number fields
Nils Bruin and Eugene Filatov.
Twists of the Burkhardt Quartic Threefold
Wouter Castryck, Marc Houben, Frederik Vercauteren and Benjamin Wesolowski.
On the Decisional Diffie-Hellman Problem for Class Group Actions on Oriented Elliptic Curves
Antoine Comeau-Lapointe, Chantal David, Matilde Lalin and Wanlin Li.
On the vanishing of twisted L-functions of elliptic curves over function fields
Edgar Costa, David Harvey and Andrew V. Sutherland.
Counting points on smooth plane quartics
Computing newforms using supersingular isogeny graphs
Tímea Csahók, Peter Kutas, Mickaël Montessinos and Gergely Zábrádi.
Explicit isomorphisms of quaternion algebras over quadratic global fields
Juanita Duque-Rosero and John Voight
Triangular modular curves of small genus
Noam Elkies and Gaurav Goel
On powerful integers expressible as sums of two coprime fourth powers
Andreas-Stephan Elsenhans and Jörg Jahnel
2-adic point counting on K3 surfaces
On binary quartics and the Cassels-Tate pairing
David Harvey and Markus Hittmeir
A deterministic algorithm for finding r-power divisors
Explicit two-cover descent for genus 2 curves
Harald Helfgott and Lola Thompson
Summing mu(n): a faster elementary algorithm
Marc Houben and Marco Streng
Generalized Class Polynomials
Catherine Hsu, Preston Wake and Carl Wang-Erickson
Explicit Non-Gorenstein R=T via rank bounds II: Computation
Kiran S. Kedlaya
The relative class number one problem for function fields, I
Computing zeta functions of algebraic curves using Harvey's trace formula
David Lubicz and Damien Robert
Fast change of level and applications to isogenies
Aurel Page and Pascal Molin
Computing groups of Hecke characters
Modular curves over number fields and ECM
Rigorous computation of Maass cusp forms of squarefree level
Jonathan Webster and Andrew Shallue
Tabulating Carmichael Numbers n = Pqr with small $P$