Because the Nobel prize is not awarded to mathematicians subject, the fields medal the prize is often called the "Nobel prize of mathematics".
Mariam Mirzakhani was 40. In 2013, she was diagnosed with breast cancer. As reported a few weeks ago, she was found to have metastases in the bone marrow.
Mirzakhani awarded the prize subject, the fields medal in 2014 for outstanding contributions to the dynamics and geometry of Riemann surfaces and the theory of spaces of their modules. Thus, she became the first female winner and the first winner from Iran.
"I hope that this award will inspire many girls and young women in this country and around the world - and help them believe in themselves and the opportunity to become a winner of the fields medal award", said jury member Frances Kirwan.
Fields medal award has been presented since 1936, every four years at each international mathematical Congress. The winners are two, three or four young mathematicians not older than 40 years.
The President of Stanford University Marc teyssier-lavigne said about Mariam Mirzakhani as a brilliant theorist and modest man who took the honors and awards just because it was hoped that it will inspire others to follow in her footsteps.
"Mariam left us too soon, but her influence on thousands of women whom she inspired to study science and mathematics, will to live, " he said.
"Today the lights went out. My heart is broken... Left so early," he wrote in "Instagram" by her friend and colleague, Firouz Naderi.
He later added: "Genius? Yes. But, in addition, - the daughter, mother and wife".
Mariam Mirzakhani was married to a Czech scientist Jan Vondracek, to whom she left a daughter.
Iran's President Hassan Rouhani called the death of Professor Mirzakhani immense grief, Iranian media reported.
Some social media users condemned the Iranian authorities for the fact that they used old photos Mariam Mirzakhani, reporting on her death.
Later photos taken after she moved to USA 18 years ago that Mariam pictured without a headscarf, which is contrary to accepted Iran's strict interpretation of Islam requires a woman mandatory headgear.
Mirzakhani was born in Iran on 3 may 1977. As a teenager she twice - in 1994 and 1995 - became the winner of the International mathematics Olympiad. In 1999, she moved to the United States.
In 2004 Mirzakhani received his doctorate in mathematics at Harvard University. She specialized in hyperbolic geometry, the theory of V. V., ergodic theory, and symplectic geometry.
Since 2008, she has taught at Stanford University.