Robert Langlands wins for his "visionary program".
Why doing maths is like being Lewis Carroll's Red Queen and how to keep going beyond the formidable age of 84.
What's the point of the Fields Medal and other maths prizes? Who decides who gets one? And when will we have the first female medallist? Rachel talks to László Lovász, current president of the International Mathematical Union (IMU), Martin Grötschel, the IMU's secretary, and Ragni Piene, the new chair of the Abel Prize committee about all this and more.