MATHEMATICS

OpenAI's next model, codenamed Astra, produced results on ten problems open for at least a decade - including non-sofic groups and Erdős problems 146, 180, and 183 - with every argument formalized as a Lean certificate.

Terence Tao published a deep mathematical digestion of the Jacobian conjecture counterexample discovered by Claude Fable 5. Here is what happened, what HN is saying, and what it means for AI-assisted research.

A researcher's 10-page domain-expert prompt helped GPT-5.6 produce a Lean-verified proof closing a complexity gap that stood since 1996. The paper is now on arXiv.

OpenAI claims GPT-5.6 Sol Ultra has generated a proof for a 50-year-old graph theory conjecture in under an hour. The math community is now verifying whether it holds up.