Levent Alpöge
Levent Alpöge is a mathematician and Junior Fellow in the Society of Fellows at Harvard University. He earned his PhD in mathematics from Princeton University in 2020 under the supervision of Manjul Bhargava. In July 2026, Alpöge announced a 216-character counterexample disproving the Jacobian conjecture, an 87-year-old problem in algebraic geometry, work he credited in part to Anthropic's Claude Fable AI model.
“OpenAI [said] it 'cannot rule out that de-identified data derived from their usage of our products helped improve our models' but denies it saw Buckmaster's or Alpöge's prompts or asked for Alpöge to be removed as an author of the proof.”
Source→“An explicit counterexample to the Jacobian conjecture was presented on 19/Jul/2026 by mathematician Levent Alpöge with Claude Fable 5.”
“Anthropic's Claude Fable 5 helped produce a 216-character counterexample disproving the 87-year-old Jacobian conjecture, potentially marking the hardest mathematical problem yet solved with AI.”
Source→AI-extracted from podcast / newsletter / paper summaries. May contain errors.