Fifteenth Algorithmic Number Theory Symposium, ANTS-XV,
University of Bristol
August 8 - 12, 2022

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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
• Alex Cowan. 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
• Tom Fisher On binary quartics and the Cassels-Tate pairing
• David Harvey and Markus Hittmeir A deterministic algorithm for finding r-power divisors
• Daniel Hast 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
• Madeleine Kyng 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
• Francois Morain Modular curves over number fields and ECM
• Andrei Seymour-Howell Rigorous computation of Maass cusp forms of squarefree level
• Jonathan Webster and Andrew Shallue Tabulating Carmichael Numbers n = Pqr with small $P$

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