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.

From social science to neuroscience, networks are everywhere! In this package we bring together our best content on network and graph theory for you to peruse.

Christmas is a time for binge watching, so this year our advent calendar features some of our favourite videos. Happy watching!