Supervised learning of arithmetic invariants

Abstract: We explore the utility of standard supervised learning algorithms for a range of classification problems in number theory. In particular, we will consider class numbers of real quadratic fields, ranks of elliptic curves over Q, and endomorphism types for genus 2 curves over Q. Each case is motivated by its appearance in an open conjecture. Throughout the basic strategy is the same: we vectorize the underlying objects via the coefficients of their L-functions.

machine learningnumber theoryPhysics

Audience: researchers in the topic

Machine Learning Seminar

Series comments: Online machine learning in pure mathematics seminar, typically held on Wednesday. This seminar takes place online via Zoom.

For recordings of past talks and copies of the speaker's slides, please visit the seminar homepage at: kasprzyk.work/seminars/ml.html