The Jacobian conjecture is a long-standing open problem in algebraic geometry that's bedeviled highly accomplished mathematicians for almost 90 years. It was included in "Smale's problems," a list of ...

Disproving the Jacobian conjecture marks the latest high-profile win in a historic year for frontier AI models in theoretical mathematics. (Image created with AI) An Anthropic researcher just gave ...

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A PHD in math disproved an 87 year old math problem with about two hours of working with Anthropic Fable. The Jacobian conjecture (JC) has been disproved in dimension 3 (and thus all higher dimensions ...

While the rest of the world was watching the World Cup on Sunday evening, mathematician Levent Alpöge casually announced on X that he had used Anthropic's Fable 5 to disprove the Jacobian conjecture.

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

An Anthropic AI model, Claude Fable 5, helped disprove the 87-year-old Jacobian conjecture, a famous open problem in mathematics dating to 1939. The model produced a concrete counterexample that ...

This past school year, Cambridge, Massachusetts, placed every eighth grader in Algebra I. It didn’t go well. Ultimately, more than 60% of rising ninth graders will repeat the course. The consequences ...

A young mathematician teamed up with a new AI model to tackle one of the hardest open problems in mathematics, and the result is causing a stir among mathematicians and AI researchers on X. Levent ...

This article is from Proof Positive, our friendly math newsletter that's delivered to your inbox every Tuesday afternoon. Sign up today and read it first. Nerdy jokes are no longer rarities on TV. As ...

In May 2026, OpenAI released a new math result that sent shock waves throughout the world of mathematical research. A major unsolved problem called the "unit distance conjecture" had just been ...