We revisit this year's Fields medals, which were awarded in Rio de Janeiro in August.
We explore infinity, from shock waves to black holes, and from Aristotle's ideas to Cantor's never-ending tower of infinities.
Find out how maths gave the Olympic cycling venue in London its elegant form.
It looks like an egg, it wriggles, and it shouldn't really exist: introducing the Gömböc.
What do the human brain, the Internet and climate change have in common? They're all hugely complex and can only be understood with maths.
Does it? We talk to some big names in the field to find out.