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

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

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

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 ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics.

An OpenAI model disproved the 80-year-old Erdős unit distance conjecture, and Google DeepMind's AlphaProof Nexus solved nine more open problems days later. Together, these AI math breakthroughs mark a ...

For years, physicists were stuck in trying to explain an important mathematical problem in physics. The right approach ended ...

In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging ...

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.

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