What is herd immunity and what does it have to do with a number called R?

New research reported at this year's Black Heroes of Mathematics conference is changing lives around the world.

Can mathematics help reshape our hospital networks?

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

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.

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!

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?

Can maths help us understand how ants, of such little brains, manage to cooperate so brilliantly?

Predicting the weather is hard. But with more data and computing power becoming available, artificial intelligence may be able to help.

Discover the fascinating maths behind rainbows, rogue waves and many more applications that is being explored by researchers at the INI

Ripples on a pond, the swell of ocean waves, your favourite song – these can all be described using sine waves. But how do we describe a sine wave?