Graduate Student Seminars

Alexey Pozdnyakov

Princeton University

Applying Machine Learning to Number Theory
In the late 18th century, Gauss conjectured the prime number theorem by computing large tables of prime numbers. In 1965, Birch and Swinnerton arrived at the BSD conjecture via computeraided computations. Contemporary mathematicians have access to largescale digital computation and modern machinelearning techniques, allowing computers to aid both computation and pattern recognition. We will describe how these tools can aid mathematics research, demonstrate how they led to a recent discovery in number theory, and outline the proof of a theorem that emerged from these machinelearning experiments. No number theory background is required.