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
A model of the interaction between predators and prey explains why sometimes frogs appear to eat snakes.
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.
Can mathematics predict the inevitable consequences of climate change? And more importantly, can it suggest ways to reduce, or even prevent some of these consequences?
Find out how some black holes are bigger on the inside than they are on the outside.
Discover the beauty of surface tension!
Playing with infinity can lead to surprising outcomes – find out how with a big bag of balls and some superpowers.
What would happen if the Sun exploded?
If there's a multiverse, then how many of its component universes are like our own? Fred Adams has made some calculations.
Mathematical models predict how fast a rumour will spread and how many people it's likely to reach.
Politician Douglas Carswell has been arguing with scientists about what causes the tides. We've figured out who's right.
Sara Zahedi has won a prestigious prize at the European Congress of Maths. Your future medical diagnoses, and even the welfare of sea life, may depend on her work.
James Maynard, one of the prize winners at the European Congress of Mathematics, is counting primes that don't have 7s in them. But why?
Why are physicists unsure about what it means to say that something has happened? Anthony Aguirre and Sean Carroll explain.
Number the dots so that each line of three adds up to 22.