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.
The paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.
We might have found the Higgs boson, but the search for new physics at the LHC isn't over yet.