AI Helps Crack an 87-Year-Old Math Conjecture With One Tiny Formula

An AI-assisted counterexample has disproved the Jacobian conjecture in dimensions greater than two, while the original two-dimensional form remains open. The counterexample, presented as a formula short enough to fit in a single post on X, was developed with the help of AI and has excited the mathematical community. Levent Alpöge, a mathematician involved in the work, highlighted the significance of the finding.

An AI-assisted counterexample disproves the Jacobian conjecture above two dimensions while leaving its original two-dimensional form open. A formula short enough to fit inside a single post on X has sent a surge of excitement through the mathematical community, just as millions of people were settling down after the FIFA World Cup Final. Levent Alpöge, ...