This year's Abel Prize goes to the "true virtuoso" Dennis Sullivan.

If you ignore exponentially small terms they can come back to bite you.

How a question about rainbows led to an entire field of mathematics.

How to take the square root of a complex number — and discover a beautiful new surface in the process.

There are a million things in maths named after Leonard Euler. Here's a beautiful formula involving complex numbers.

Have you ever wondered what complex numbers are good for, both within and outside of maths? Find out with this collection of articles and videos.

How Heron of Alexandria missed his chance to explore the unknown mathematical land of complex numbers.

This article gives a short but thorough introduction to that fabled beast of mathematics: the Mandelbrot set.

In this video the structural engineer Ahmer Wadee explains how complex numbers can keep buildings from collapsing.

Find out how complex numbers help to keep the lights on.

Got your popcorn? Picked a good seat? Are you sitting comfortably? Then let the credits roll...