Artur Avila is being honoured for "formidable technical power, the ingenuity and tenacity of a master problem-solver, and an unerring sense for deep and
significant questions."
It's one of the most beautiful sights in nature: fireflies illuminating the night with their synchronised flashing. Mathematicians have just solved a 40 year-old problem behind this striking phenomenon.
The paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.