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.

Manjul Bhargava is being honoured as a number theorist of "extraordinary creativity," with "a taste for simple problems of timeless beauty."

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."

Martin Hairer's is being honoured for a major breakthrough that gives a way of attacking problems that had previously been impenetrable.

Maryam Mirzakhani is being honoured for her "rare combination of superb technical ability, bold ambition, far-reaching vision, and deep curiosity".

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