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.
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?
Why (some) physicists want to modify Einstein's general theory of relativity.
In the game of Nim one player always has a winning strategy — it depends on an unusual way of adding numbers.
Asking good questions is an important part of doing maths. But what makes a good question?
Sometimes a piece of maths can be so neat and elegant, it makes you want to shout "eureka!" even if you haven't produced it yourself. One of our favourite examples is the art gallery problem.