Alessio Figalli has received a Fields medal at the International Congress of Mathematicians 2018, currently taking place in Rio de Janeiro. In this interview he tells us about his work, what receiving such a high honour feels like, and what impact it is going to have on his area of mathematics.

You can also listen to this interview as a podcast and read this short article about Figalli's work.

This content was produced in a collaboration with the London Mathematical Society.