## The Isaac Newton Institute: Creating eureka moments

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.

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

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.

Now it's the turn of mathematicians to help to improve the communities of the future.

A hundred pounds is a lot more to someone who's poor than to a millionaire. But how do you measure such differences? Utility theory has the answer.

We join Dan Aspel to talk to the irrepressible Anita Layton about her career and research in kinetic theory.