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

Crystals may seem flawless, but deep inside they contain tiny structural imperfections that dramatically influence their ...

Crystals are known far and wide for their beauty and elegance. But even though they may appear perfect on the outside, their ...

Computers can help ensure that mathematical proofs are correct, but translating traditional maths into a machine-readable ...

Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a ...

A sneeze. Ocean currents. Smoke. What do these have in common? They're instances of turbulence: unpredictable, chaotic, ...

Humans can remember various types of information, including facts, dates, events and even intricate narratives. Understanding ...

A new study suggests our brains store narratives by linking related events into tree-like structures, explaining how we ...

Understanding the famously complex Inter-universal Teichmüller Theory could solve mathematics' greatest problems.

“Bille” is the first-ever monostable tetrahedron, or a pyramid-like shape with four triangular faces that has one stable ...

First proposed in 2012, the Inter-universal Teichmüller Theory (IUT) is a devilishly difficult math theory that experts describe as an “alien language.” Although only a few mathematicians ...