English

Mathematics: the Rise of the Machines

History and Overview 2025-11-24 v1 History and Philosophy of Physics Physics and Society

Abstract

We argue how AI can assist mathematics in three ways: theorem-proving, conjecture formulation, and language processing. Inspired by initial experiments in geometry and theoretical physics in 2017, we summarize how this emerging field has grown over the past years, and show how various machine-learning algorithms can help with pattern detection across disciplines in the mathematical sciences. At the heart is the question how does AI help with theoretical discovery, and the implications for the future of mathematics.

Keywords

Cite

@article{arxiv.2511.17203,
  title  = {Mathematics: the Rise of the Machines},
  author = {Yang-Hui He},
  journal= {arXiv preprint arXiv:2511.17203},
  year   = {2025}
}

Comments

Invited contribution to the Nieuw Archief voor Wiskunde of the Koninklijk Wiskundig Genootschap, and based on a recent public lecture of the author to the Royal Institution of Great Britain