Magma Meeting: Rational Points 2025

Organizers: Stephan Elsenhans, Timo Keller, and John Voight

Supported by the Simons Foundation

Date and Place

July 25 – 26, 2025
at Universität Würzburg, Würzburg, Germany

Hotel: Dorint Hotel Würzburg

Participants

• David Angdinata
• Nils Bruin
• Maarten Derickx
• Claus Fieker
• Ludwig Fürst
• María Inés de Frutos Fernández
• Naemi Fischer
• Pip Goodman
• Himanshu Shukla
• Jörg Jahnel
• Jürgen Klüners
• Lars Kühne
• Elvira Lupoian
• Steffen Müller
• Filip Najman
• Oana Padurariu
• Ignasi Sanchez Rodriguez
• Matthias Schütt
• Michael Stoll

Aim of the conference

This workshop will focus on the study of rational points on algebraic varieties using computational tools in the Magma computer algebra system. The program will include collaborative discussions on available algorithms, current problems and open questions, feature requests, and design considerations. Such algorithms often rely heavily upon underlying algorithms for extensions of number fields, for example computations of unit groups and class groups. We hope to guide future directions for algorithmic and computational advancements in Magma.