The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore.

One of the biggest stories in science is quietly playing out in the world of abstract mathematics. Over the course of last ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

One Step Closer to a ‘Grand Unified Theory of Math’: Geometric Langlands After 30 years of effort, mathematicians finally proved a major component of the ambitious Langlands program.

A notebook featuring Leonardo da Vinci's Vitruvian Man. Dilara Irem. Like the artist, the scientist is a lover of nature.

By extending the scope of a key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward ...

Speculative elements may not be necessary to explain the cosmos. A team of researchers, led by Raúl Jiménez, an ICREA scientist at the University of Barcelona’s Institute of Cosmos Sciences (ICCUB), ...

A new quantum recipe for black holes could be the first step toward a theory of "quantum gravity", the "holy grail" of physics.

In commemoration of the 100th anniversary of modern quantum mechanics, a survey asked physicists for their takes on some hot ...

The creation of the universe has long puzzled scientists: how could it begin if time itself didn’t exist? The Big Bang marks ...

It’s the weirdest thing: quantum theory works incredibly well in practice. It powers devices ranging from MRI machines to lasers and the very computer you’re reading this on. But even after 100 years, ...