This year's Nobel Prize for Physics brings together the physics of materials with one of our favourite areas of maths – topology.
Can the very act of observing something change what's being observed? This series of articles and videos explores some basic questions about the role of the observers in physics.
If only the fittest survive, how can we explain the evolution of altruism? Mathematics has some answers.
Computer scientists have made a breakthrough in the theory of cake cutting.
A model of the interaction between predators and prey explains why sometimes frogs appear to eat snakes.
In these two short videos the legendary Andrew Wiles talks about what it was like to prove Fermat's Last Theorem, and what it feels like to do maths.
Image © Heidelberg Laureate Forum Foundation / Flemming – 2016
Five favourite problems inspired by Leonhard Euler, one of the greatest mathematicians of all time.
An insightful look at the climate models that predict our future.
With intelligent machines taking over more and more of our jobs, what does the rise of AI mean for humanity?
The 19th century experienced a geometrical revolution. Find out how the new geometries that were discovered shaped philosophy, science, culture and art.
Andrew Wiles tells us about what it was like to prove Fermat's Last Theorem, and what it feels like to do maths.
Simple mathematical rules can make for some interesting psychedelic science.
New research suggests that our trusty companion may not have been the Earth's first, but formed from several smaller moonlets.
We can't let penguin awareness day pass without a look at some penguin maths.
In his latest puzzle book Alex Bellos uses maths to inspire and entertain.
Peter Wadhams' fascinating book explores the importance of sea ice for global climate and holds some grim warnings for the future.
Steve Mould, Helen Arney and Matt Parker prove that nerdery is the new rock'n'roll.
How fast can you tell whether two networks are the same?