AI in Pure Mathematics: From Jacobian Conjecture to Lean 4 Proofs

Anthropic's Fable 5 and OpenAI's Codex independently disproved the 87-year-old Jacobian conjecture. OpenAI then published 10 AI-generated mathematical breakthroughs with formal Lean 4 proofs using Astra, each costing ~$2k. Terence Tao's talk provides vocabulary for this shift. Verification infrastructure makes this a landmark proof-of-concept, though critics urge caution. A new commentary highlights the growing reproducibility crisis in AI-driven mathematics, adding to the debate.