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.
Struggling to solve today's sudoku? Is your tried and tested method hitting a brick wall and you feel like you are going around in circles? New research might make you feel a bit better: you might not necessarily be stuck... perhaps you are just in a patch of transient chaos on your way to the solution.
If you are prone to forgetting your passwords, you're not alone. To make sure
we remember all our passwords, many of us take measures that defeat the
purpose. These include, as studies have shown, using the same password for everything or writing them down on post-it
notes and sticking them to our computer. But such sloppiness makes
easy work for evil agents out to steal our data and identities. Now physicists from the US and Germany have devised a safer way of
using passwords that takes account of the human need for
memorability.
This article is part of a series of two articles exploring two ways in which mathematics comes into food, and especially into food safety and health. In this article we will take a dive into the rather smelly business of digesting food, and how a crazy application of chaos theory shows the best way to digest a medicinal drug.