# Articles

Balancing the equations of a low carbon energy network

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

Maths in a minute: Non-linearity

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

Meat free meat with maths

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.

Maths in a minute: Inverse problems

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

A richer view of the inside

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.

Spinning the wheel: The Ehrenfest paradox

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

Spheres within spheres: A journey through many dimensions

We guide you through an exciting recent breakthrough in the world of topology, involving something called the telescope conjecture.

Spheres within spheres: Simplicity and failure

We continue our exploration of the telescope conjecture.

Maths in a minute: Homotopy

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

What is symplectic geometry?

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

A very old problem turns 30!

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

Celebrating 30 years of Andrew Wiles and Fermat's Last Theorem

"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.

• Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.