Neil Pieprzak tells the fascinating story of Andrew Wiles who, with intense devotion and in secret, proved a deceptively simple-looking conjecture that had defeated mathematicians for almost 400 years.

José-Manuel Rey revisits a scene of the film A beautiful Mind.

Phil Trinh discovers how maths helps solve the mysteries of flight and love.

When the famous diagram fails

Prestigious mathematics prize goes to group theorists

Conversations across science and art

It's easier than you think

Bonuses are a fact of business life. Last year the Guardian newspaper calculated that the cash rewards paid to London's financial chiefs comfortably outstripped the UK's entire transport budget. With such large sums at stake, envy is bound to raise its ugly head, nver a good thing for company morale. So how should you decide who gets how much? Steven J. Brams suggests a method that's not only fair, but also encourages honesty.

Lewis Dartnell turns the universe into a matrix to model traffic, forest fires and sprawling cities.