A female medallist, at last (Image: courtesy Maryam Mirzakhani)

A woman has won the maths world’s “Nobel prize” for the first time. Maryam Mirzakhani of Stanford University, California, will receive the Fields medal tomorrow at the International Congress of Mathematicians in Seoul, South Korea.

The medal is awarded once every four years to at most four recipients, who must be aged under 40 at the start of that year. All the previous 52 Fields medallists, dating back to 1936, have been male.

Mirzakhani, who is Iranian, studies the geometry of moduli space, a complex geometric and algebraic entity that might be described as a universe in which every point is itself a universe. Mirzakhani described the number of ways a beam of light can travel a closed loop in a two-dimensional universe. To answer the question, it turns out, you cannot just stay in your “home” universe – you have to understand how to navigate the entire multiverse. Mirzakhani has shown mathematicians new ways to navigate these spaces.


Mirzakhani first attracted international attention as a high-school student in 1995, when she was the first Iranian student to achieve a perfect score in the International Mathematics Olympiad.

“She is very, very well known in Iran, where she is held out as an example for younger students,” says Ingrid Daubechies, the president of the International Mathematical Union, which selects the Fields medallists.

“Speaking as a woman myself, it is a wonderful thing to see her win,” Daubechies adds. “It will lay to rest the often-quoted fact that a woman has never won.” In future, she says, the idea of a woman winning the top maths award will no longer seem exceptional.

The three other winners are Brazilian-born Artur Avila of Denis Diderot University in Paris, France, who studies how chaotic systems evolve when constrained by certain rules; Manjul Bhargava, a number theorist at Princeton University; and Martin Hairer, an expert in partial differential equations at the University of Warwick, UK.