Viazovska is only the second woman to receive a Fields Medal, for her ground-breaking proof to a problem we're all familiar with.

Hugo Duminil-Copin has been awarded a Fields Medal for solving longstanding problems in statistical physics. He told us about how his work brings together his two loves – maths and physics.

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.

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.

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.

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

Mathematicians are developing new machine learning techniques to support medical doctors in their work.