We continue our exploration of the telescope conjecture.

The concept of homotopy is a great example of how the language of maths can make intuition precise.

In this special podcast we look back on this remarkable mathematical moment with Andrew Wiles, Jack Thorne and Tom Körner, and how it opened new doors onto the future of mathematics.

Andrew Wiles's proof of Fermat's Last Theorem solved a centuries-old problem by opening a door onto the future of mathematics.

"Find problems you enjoy, and just work on them. It doesn't matter if you never solve them." We speak to Andrew Wiles on the 30th anniversary of his announcing the proof of Fermat's Last Theorem.

To celebrate the anniversary of its proof, this collection of articles, podcasts and videos explores one of the most beguiling theorems in maths.

Some practical tips to help you when you need it most – when you are sitting at the keyboard, ready (or perhaps not so ready) to put your ideas on the page!

When waves scatter off many objects, things get incredibly complex.

When sound waves leave your speaker they wreak havoc with mathematics.

Ice, food, and invisibility cloaks — meet the maths that links them together!

What do chocolate and mayonnaise have in common? It's maths! Find out how in this podcast featuring engineer Valerie Pinfield.

Maths can help you make the best of things!