Claude Fable 5 AI finds a tiny formula that topples an 87-year-old math conjecture
AI Summary: Mathematician Levent Alpöge, working at Anthropic, has found a counterexample to the Jacobian conjecture, a long-standing problem in algebraic geometry, using the company's large language model Claude Fable 5. The Jacobian conjecture, first proposed in 1884, states that a polynomial function with a non-zero constant Jacobian determinant is reversible. Alpöge's discovery, announced on social media, marks a significant breakthrough in the field, as previous attempts to prove or disprove the conjecture had been unsuccessful. The counterexample was obtained using a large language model, highlighting the potential of AI in mathematical research.