To understand the why the cosmic microwave background tells us so much about the Universe, you first need to understand what created it: sound waves travelling through the early Universe.

The cosmic microwave background is the earliest light we can see in the Universe. So important is this baby picture of the Universe, it's been involved in two Nobel Prizes. Why?

Straddling the boundary between pure and applied mathematics.

Is the proposed ABBA rule for penalty shootouts really fairer than the existing rule? Maths shows that it is, and also suggests another, more subtle rule.

In 1915 a cook in California accidentally infected 93 people with typhoid. Over 100 years on mathematicians shed light on a long-standing mystery surrounding this and other outbreaks of infectious diseases.

How will the Universe end? In a big crunch? Or a big freeze? It all depends on its shape...

Vicky Neale's new book is a fascinating look at the prime numbers and recent advances in prime number theory.

Statistics professor John Aston has been appointed as the Home Office's new Chief Scientific Adviser.