The International Congress of Mathematicians 2018 has got off to a joyous start with the announcement of some of the most prestigious prizes in mathematics.

You may not know it, but you are relying on mathematical models many times every day. But models come with uncertainties — how to we get to grips with them?

Physics is all about observation, but how much can we actually see? We explore some of the limits of observation — be they natural, scientific, political, or down to the fuzzy quantum nature of reality.

From making penalties fairer or taking the perfect free kick, to designing an ideal ball and predicting results using an octopus, it's all there in our collection of football articles. Take your pick!

The cosmic microwave background (CMB) is light left over from the Big Bang. It has revealed a wealth of information about our Universe and turned cosmology into a precision science. How can a single picture tell us so much?

On the sad news of Stephen Hawking's passing we look at his professional life and work. The image shows Hawking enjoying zero gravity in 2007 and is courtesy NASA.