In this content piece, the author explores the challenges of organizing large-scale mathematical research projects involving professional mathematicians, the general public, and AI tools. They propose the use of proof assistant languages like Lean to facilitate collaborations and formalize mathematical results, providing examples such as the recent formalization of the PFR conjecture. They introduce a project in universal algebra to explore equational theories for magmas, emphasizing the potential for crowdsourcing and automated tools to tackle complex mathematical problems. The author discusses the implications and non-implications between various equational axioms, envisioning crowdsourcing contributions to expand the project and visualize the poset structure.
https://terrytao.wordpress.com/2024/09/25/a-pilot-project-in-universal-algebra-to-explore-new-ways-to-collaborate-and-use-machine-assistance/