Discover the fascinating maths behind rainbows, rogue waves and many more applications that is being explored by researchers at the INI

Ripples on a pond, the swell of ocean waves, your favourite song – these can all be described using sine waves. But how do we describe a sine wave?

From trigonometry to waves.

A new machine learning framework provides doctors with a reliable tool to help diagnose Alzheimer's disease early.

Despite all the challenges it faced, the international mathematics community has come together to create an ICM in 2022 like no other.

Mark Braverman has won the Abacus Medal for a mathematical approach to solving problems while sharing as little information as possible.

Maynard went from a fascination with numbers as a young child to making spectacular contributions to number theory that have earned him a Fields Medal.

Hugo Duminil-Copin has been awarded a Fields Medal for solving longstanding problems in statistical physics. He told us about how his work brings together his two loves – maths and physics.

Mark Braverman has won the Abacus Medal for developing the theory of information complexity. He told us about the role of communication in computation, and why a mathematical view can help you understand how to solve problems while sharing as little information as possible.

James Maynard has won a field medal for his work in number theory. He told us how he went from a fascination with numbers as a young child to making spectacular contributions to number theory.

Now it's the turn of mathematicians to help to improve the communities of the future.