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Why are physicists unsure about what it means to say that something has happened? Anthony Aguirre and Sean Carroll explain.

A model of backward causation in which the future affects the past could help unite quantum mechanics and general relativity – and satisfy a challenge thrown down almost a century ago by Arthur Eddington.

Frank Kelly talks about his work on networks and how inspiration can strike out of the blue.

Keith Mansfield tells us how being able to do maths turns you into a superhero, helps you work out why we haven't yet been contacted by aliens, and remembers his favourite mathematical moment.

Nira Chamberlain tells us how solving difficult maths problems can be like fighting an invisible boxer.

Vicky explains how maths is an adventure that's really worth having.

Carola tells us about her work in the field of image analysis, her favourite mathematical moments, and why creativity is so important in maths.

Mathematician Katie Steckles tells us about her favourite mathematical moments and why being creative is essential in maths.

We're celebrating the occasion with some favourite talks by female mathematicians of the last year.

How can it be that our wonderfully complex world is governed by a few comparatively simple laws of nature? Find out with this collection of articles and videos.