Find out how a theory from physics has provided tools for solving long-standing problems in number theory. And in turn how number theory helps solve the mystery of black holes.

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

What is group theory and why is it such an exciting area of maths? Two experts explain.

Winner of the general public category. Enormous is the right word: this theorem's proof spans over 10,000 pages in 500 journal articles and no-one today understands all its details. So what does the theorem say? Richard Elwes has a short and sweet introduction.