This year's Nobel Prize for Physics brings together the physics of materials with one of our favourite areas of maths – topology.

When it comes to the entire cosmos, we humans are incredibly small and insignificant. But that's precisely why we need to take ourselves into account when thinking about the Universe. Find out why.

A brief introduction to the strange theory of quantum mechanics and how it appears to afford a special role to observers.

How the need to locate your location at sea led to some interesting mathematics.

A new institute on the maths of information has just been launched at the Faculty of Mathematics in Cambridge.

Here's one of the most elegant proofs in all of maths. Rejoice in its simplicity!

A quick look at the role of mathematics in communication — from making and breaking codes to making sure messages arrive intact.

So easy to describe, yet so hard to prove.

If only the fittest survive, how can we explain the evolution of altruism? Mathematics has some answers.

Why a positive test result doesn't necessarily mean you have the disease.

Are there problems computers will never be able to solve, no matter how powerful they become?

In the 1930s Alan Turing discovered a computer program that is logically impossible. What other limits are there to computation?