Google and OpenAI have solved decades-old problems — but the scientific community is beginning to discuss whether limits ...

Yang-Hui He is a fellow at the London Institute for Mathematical Sciences in London, UK. Among mathematicians and theoretical physicists, artificial intelligence provokes a range of reactions. Some ...

I have a confession that probably won't surprise anyone who knows me well: I love reading books about mathematicians. Not because I understand the dense mathematics. I struggled through four semesters ...

A timeline of his draft fall and what can be learned from it.

The transcript explores Goldbach’s conjecture, the simple-looking claim that every even number greater than 2 can be written ...

With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with confidence that every piece is correct. For some, this heralds a new area in ...

The solution came following a very simple chatbot inquiry. OpenAI mathematicians fed the conjecture into a large language model (LLM) and asked it if Erdős was wrong. The researchers were not involved ...

Yu Deng of the University of Chicago links Newtonian mechanics and the Boltzmann equation, advancing Hilbert’s Sixth Problem ...

A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...

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

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.