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.

For decades, physicists have faced one of science’s greatest puzzles: merging quantum mechanics, which describes tiny ...

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

"This work is a step toward understanding how quantum mechanics and gravity work together, a major unsolved problem in ...

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

Speculative elements may not be necessary to explain the cosmos. A team of researchers, led by Raúl Jiménez, an ICREA ...

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

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