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

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!

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

The BloodCounts! project is gearing up towards one of the largest-scale applications yet of machine learning in medicine and healthcare.

How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

Weird and wonderful things can happen when you set a ball in motion on a billiard table — and the theory of mathematical billiards has recently seen a breakthrough.

Was vaccinating vulnerable people first a good choice? Hindsight allows us to assess this question.

This year's Abel Prize goes to Luis A. Caffarelli for a body of work on the maths of change.

Maths meets politics as early career mathematicians present their work at the Houses of Parliament.

Clouds make the weather, yet their detail isn't taken into account in weather forecasts. Artificial intelligence might be able to help.

Find out more about one of the highest honours in maths.

What can we learn from the COVID crisis about finding consensus?