## fields medal

We were lucky enough to interview Stas Smirnov at the ICM in Hyderabad, India. As well as being very pleased at winning the Fields Medal and being recognised by his colleagues, Stas reminded us that mathematicians don't do research to win medals. They do it because of curiosity and he personally can't wait to get back to his theorems.

What would you think if the nice café latte in your cup suddenly separated itself out into one half containing just milk and the other containing just coffee? Probably that you, or the world, have just gone crazy. There is, perhaps, a theoretical chance that after stirring the coffee all the swirling atoms in your cup just happen to find themselves in the right place for this to occur, but this chance is astronomically small.

The work of Fields Medallist Stanislav Smirnov will take mathematics and physics into a new phase with his mathematical proof of the understanding of phase transitions.

Eron Lindenstrauss got the Fields Medal for developing tools in the area of dynamical systems and using them to crack hard problems in the seemingly unrelated area of number theory.

Results in mathematics come in several flavours — theorems are the big important results, conjectures will be important results one day when they are proved, and lemmas are small results that are just stepping stones on the way to the big stuff. Right? Then why has the Fields medal just been awarded to Ngô Bào Châu for his proof of a lemma?

The Fields medallist reveals the beauty of numbers, how he drew inspiration from Sanskrit maths and a Rubik's cube, and how his maths fits with his tabla playing.

We enjoyed Manjul Bhargava's Fields medal lecture so much we wanted to share it with you!

Martin Grötschel, Secretary of the International Mathematical Union, about maths at school, integrating developing nations, and his dream of putting all maths that's ever been produced online.

Artur Avila tells us about taming chaos.