One of the greatest honours in maths has been awarded for the proof of Fermat's last theorem.

Playing with infinity can lead to surprising outcomes – find out how with a big bag of balls and some superpowers.

How can it be that our wonderfully complex world is governed by a few comparatively simple laws of nature? Find out with this collection of articles and videos.

How simples rules can result in very complex outcomes.

We all know what symmetry is. But why does it play such a central role in modern physics?

Science is the study of events: things that happen in the world around us. But what exactly is an event? The answer is harder than you might think.

John D. Barrow talks to us about the laws of nature, how the complexity of the world conceals elegant mathematical symmetries, and how chaos can arise from order.

Can simple equations really describe the complex world we live in?

Finally we can be sure — black holes, those gravitational monsters that gobble up everything that gets too close to them, do exist.