How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

The Leiden Declaration on Artificial Intelligence and Mathematics, endorsed by the International Mathematical Union and signed by Fields Medal recipient Peter Scholze, calls on mathematicians to ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...

Artificial intelligence can now solve open research-level mathematics problems — not just competition questions — and the May 2026 issue of Science News documents the moment the field registered that ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

The planet is warming faster than ever, and as it does, extreme weather is intensifying. Of those often dangerous events, almost half involve flooding. So to protect the world’s coastal cities and the ...

Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...

Sullivan & Cromwell's co-chair of restructuring admitted that the firm filed a brief in a bankruptcy case that contained fake citations generated by AI. The firm is one of multiple Big Law firms to ...

One of the most bitterly contested proofs in modern mathematics may be on the verge of being untangled. Two projects, both aiming to use a computer program to cast new light on the controversy, are ...