Rachel Thomas

Bob Wald tells us why probabilities are important in cosmology.

How to solve an ancient problem in a few folds.

The bitter battle for the cubic equation.

It might not be as familiar as the circle or parabola, but it's definitely worth getting to know the hyperbola!

What makes a number a constant of nature?

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."

Patterns and structures lie at the heart of mathematics, some even say they are mathematics. But how do they help us do mathematics?

Many materials around us are oxides – such as rocks, window glass and some of the materials used in your computer. These materials may seem hard and rigid, but mathematics reveals a hidden flexibility that can explain many of their properties.