BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:John Voight (University of Syndey) DTSTART:20260624T050000Z DTEND:20260624T060000Z DTSTAMP:20260617T093248Z UID:UNSW-NTSeminar/32 DESCRIPTION:Title: Experiments and expectations in computational algebra\nby John Voight (University of Syndey) as part of UNSW Number Theory Seminar\n\nLe cture held in Room 4082\, Lawrence East (H13).\n\nAbstract\nExperimental r esults have long played a key role in number theory\, suggesting conjectur es\, testing heuristics\, and guiding the development of algorithms. At t he same time\, the scale and complexity of modern computations raise new h orizons for these experiments and new questions for how we use computation al algebra software. In this talk\, I will discuss several recent example s. The first is joint work with Blair Butler and Edgar Costa on a statist ical approach to understanding ranks of elliptic curves. The second is jo int work with Andreas-Stephan Elsenhans on computing class groups of numbe r fields. I will conclude with some general questions about our expectati ons for computer algebra systems and how these expectations may evolve as formalization and AI/machine learning tools become increasingly integrated into mathematical practice.\n LOCATION:https://researchseminars.org/talk/UNSW-NTSeminar/32/ END:VEVENT END:VCALENDAR