An impossible equation, two tragic heroes and the mathematical study of symmetry.

If you like to have your mind blown cosmology is a great field to go into. But is it science?

Could the world be simpler than our senses suggest?

What gives an equation the right to call itself a law?

What makes a number a constant of nature?

Why cosmologists worry about isolated brains that randomly fluctuate into existence.

Why game theory is a serious business.

George Ellis explains why the study of the cosmos poses some very deep questions.

The winner of the 2014 Chern medal tells us about beauty in maths, the twists and turns of mathematical history, and his work for the maths community.

Artur Avila is being honoured for "formidable technical power, the ingenuity and tenacity of a master problem-solver, and an unerring sense for deep and significant questions."

Books, brains, computers — information comes in many guises. But what exactly is information?