ChatGPT's breakthrough is not what it seems.

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

We've wondered for centuries whether knowledge is latent and innate or learned and grasped through experience, and a new ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent my days and nights struggling through a Ph. D.

In December 2025, a group of researchers from around the world, including UC Berkeley math professor Nikhil Srivastava, gathered inside the Simons Institute for the Theory of Computing at UC Berkeley.

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to everyone.