A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications ...

Mathematicians once turned up their noses at imaginary numbers. But complex analysis actually simplifies math and physics.

Professors from NYU and the University of British Columbia have resolved the Kakeya set conjecture in three dimensions.

By solving part of the Langlands program, a mathematical proof that was long thought to be unachievable, Dennis Gaitsgory ...

A geometry problem over a century old has just found its definitive answer. Mathematicians have confirmed that the solution ...

Monash University researchers have extended Descartes’ Circle Theorem by finding a general equation for any number of tangent ...

Using advanced mathematical tools inspired by physics, the team has derived a general equation for any number of tangent ...

Known as the "Oscars of Science," the Saturday night event saw Mark Zuckerberg, Jeff Bezos and Sam Altman rubbing shoulders ...

"This result is not only a major breakthrough in geometric measure theory, but it also opens up a series of exciting developments in harmonic analysis, number theory, and applications in computer ...

In the process, however, the number of tesserae remains mostly consistent ... "Nature has found a truly elegant solution to this geometric challenge," Professor Dean says. The team discovered ...

An unreleased version of Waymo’s privacy policy suggests the California-based company is preparing to use data from its robotaxis, including interior cameras, to train generative AI models and to ...