What is machine learning, what can it do, and is it ethical?

If you feel like snuggling up on the sofa with your headphones in, then try our advent calendar filled with some of our favourite Plus podcasts!

The International Congress of Mathematicians (ICM) took place in Rio de Janeiro at the beginning of August. Here is all our coverage at a glance.

We explore non-constructive proofs and what happens if you try and avoid them.

Physics is all about observation, but how much can we actually see?

Find out all you need to know about the cosmic microwave background in this comprehensive overview.

From bendy rocks to invisibility cloaks — discover the fascinating maths of materials.

On the sad news of Stephen Hawking's passing we look at his professional life and work.