Mark Braverman has won the Abacus Medal for developing the theory of information complexity. He told us about the role of communication in computation, and why a mathematical view can help you understand how to solve problems while sharing as little information as possible.

Maryna Viazovska has won one of this year's Fields Medals for a ground-breaking result in the theory of sphere packings.

Elliott Lieb has been awarded the 2022 Gauss Prize for outstanding contributions to physics, chemistry, and pure mathematics.

Barry Mazur has received the 2022 Chern Medal for profound discoveries in topology, arithmetic geometry and number theory.

June Huh has been awarded a Fields Medal for work on combinatorics and algebraic geometry.

James Maynard has won a field medal for his work in number theory. He told us how he went from a fascination with numbers as a young child to making spectacular contributions to number theory.

Here's our coverage from the International Congress of Mathematicians 2022, including the Fields Medals and other prizes.

To get us in the mood for next week's International Congress of Mathematicians, let's revisit the 2018 ICM that took place in Rio de Janeiro in Brazil!

Whether you want to understand viruses, win at lotto or solve a rubik's cube – you'll need some help from combinatorics.

Kinetic theory bridges the gap between the big and the small to understand systems made up of many components: from plasmas to people.

In this podcast mathematician Cheryl Praeger and magician Will Houstoun reveal the maths and magic behind shuffling cards.

The COVID-19 pandemic has amplified the differences between us. Understanding these inequalities is crucial for this and future pandemics.