Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.

Non-linear relationships are tricky relationships. Find out why here.

Don't like plant-based meat alternatives, but want to spare animals and the environment? There's hope on the horizon, aided by a good helping of maths.

Inverse problems are mathematical detective problems. They can help solve crimes, are used in medical imaging, and much more.

The mathematics of tomography has revolutionised modern medicine by allowing us to see inside a person's body and saved countless lives. Now new mathematics is being developed to give us an even better view.

Meet a fascinating thought experiment close to the speed of light.

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.

This beautiful version of geometry was developed to keep track of things that move! Here's a very brief introduction.

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.