In this year's advent calendar we celebrate our collaboration with the Isaac Newton Institute for Mathematical Sciences. From Euler's formula to group theory, there's a lot to choose from, all linked to current research.

Explore the mathematical study of symmetry with this collection of content, which includes short introductions, in-depth articles, a podcast, and some magic!

What do mathematicians mean by "proof" and why do they always want it? This collection articles explores the concept of proof, with examples and philosophical consideration.

Nearly 200 years ago the astronomer George Biddell Airy had a question about rainbows. Today mathematicians are still working on the area of maths it spawned.