Maryam Mirzakhani is being honoured for her "rare combination of superb technical ability, bold ambition, far-reaching vision, and deep curiosity".
Martin Hairer's is being honoured for a major breakthrough that gives a way of attacking problems that had previously been impenetrable.
We are thrilled that brilliant mathematician Maryam Mirzakhani has been awarded a Fields medal – the first woman to be recognised.
One of our favourite mathematicians, Marcus du Sautoy, will receive the 2014 Christopher Zeeman medal for the promotion of mathematics to the public.
Our image of the week shows a beautiful surface with many singularities.
How do you write numbers as string of 0s and 1s?
Our image of the week celebrates architect Antoni Gaudí's love of mathematical design.