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?

We look at an important recent result exploring higher-dimensional holes in higher-dimensional spheres.

How is frequency related to pitch? Hear the music we love emerge from pure mathematical beats.

We talk to Stuart Johnston who uses mathematics to find out how noise pollution in the oceans impacts whales.

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.

In this podcast author Coralie Colmez shares insights into her novel The irrational diary of Clara Valentine.

We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!

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.

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.

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