"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.

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 sound waves leave your speaker they wreak havoc with mathematics.

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.

Maths can help you make the best of things!

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

A mathematical, and personal, look into how we all had to balance the different harms of the virus and the steps we took against it.

PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.

How would you explain the natural numbers to an alien devoid of a number instinct? You could try Peano arithmetic...

Some diseases spread far more quickly in care homes and other settings with vulnerable people. How can maths help? And what help does maths need?

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.