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

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

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

What We’re Reading Discover notable new fiction, nonfiction, and poetry. Yet that’s possible only because we live in the ...

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

There was another member of the family, however, named Said, who Or subscribe now to read with unlimited access for as low as ...

Microscopic black holes could arise from a crystallization of the fabric of spacetime. This idea comes from researchers who ...

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.

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...