She is survived by husband Jan Vondrák, a Czech theoretical computer scientist, and their daughter Anahita.
Iranian President Hassan Rouhani said Professor Mirzakhani's death caused "great sorrow", according to Iran's state media.
She was a research fellow at Clay Mathematics Institute from 2004 to 2008 and served as an assistant professor of mathematics at Princeton University.
Mirzakhani was born in Tehran, Iran, and she lived in that country before coming to the U.S.to attend graduate school at Harvard University. She was the first woman in the prize's 80-year history to earn the distinction.
Stanford President Marc Tessier-Lavigne called Mirzakhani a brilliant theorist "who made enduring contributions and inspired thousands of women to pursue math and science".
Firouz Naderi’s post in Instagram in reaction to Mirzakhani’s death
Iranian-American scientist Firouz Naderi shared his grief on Instagram.
Born in Tehran, Mirzakhani came to the U.S.to attend graduate school at Harvard University. By then, she was already a star, having won gold medals in the International Mathematical Olympiad in the mid-1990s - after becoming the first girl ever named to Iran's team. The Fields Medal is awarded every four years on the occasion of the International Congress of Mathematicians to recognize outstanding mathematical achievement for existing work and for the promise of future achievement.
Following earlier news that Mirzakhani's health had taken a turn for the worse, a spokesperson for the Iranian foreign ministry told Mehr News that Iranians worldwide were proud of her.
As a professor and scholar, Mirzakhani's pictures helped her write stories with her math.
"A light was turned off today", he said in a post.
"A genius? Yes. But also a daughter, a mother and a wife", he added in a subsequent post.
Pressed on whether the committee would subpoena Trump Jr ., Grassley said, "Let's wait and see what he does from our letter". From the secretaries, Grassley requested "all visa records and associated documentation" for Veselnitskaya.
Former England captain Nasser Hussain echoed Richards' thoughts and warned Joe Root's side not to underestimate the tourists. South Africa captain Faf du Plessis will miss the first Test against England at Lord's for family reasons.
One by one, each of the swimmers who was caught in the tide was back safely on shore thanks to that chain. Ursey referred to those courageous men and women on the beach that pulled them out as "God's angels".
Bayern's cooling interest in Sanchez may be a cause for concern for Arsenal if the Chilean global is minded to leave the Emirates. Goal understands Alexis is considered a "priority" signing of Man City's and Pep Guardiola is confident he will land him.
In an interview with the Toronto Sun , Feige talked about the how Spider-Man's arc will be broken up across the movies. Tom Holland has recently spoken with Collider about working on Spider-Man: Homecoming .
As this develops, Lorenzana said the government is now making plans needed for the the reconstruction of war-torn Marawi City. Martial law in Mindanao was implemented nighttime of May 23 following the attack of Maute Group terrorists in Marawi City .
The Federal Reserve monitors the barometers of wage growth for any evidence that inflation might be starting to pick up. The average workweek for all employees on private nonfarm payrolls rose by 0.1 hour to 34.5 hours in June.
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Open and last week's Irish Open - and the latest low point in an injury-affected 2017 for the four-time major victor . It was the world No. 4's third missed cut in his last four events - he also failed to make the weekend at the U.S.
If the things work out the way both sides are hoping to, Caldwell-Pope might be in Lakers uniform for more than one season. Caldwell-Pope also is a strong two-way player who is expected to improve the Lakers' defensive competence.
Edgar Wright's Baby Driver - another win for Sony - Wonder Woman and Transformers: The Last Knight will round out the top five. Sony reports strong business overseas, where Homecoming is opening in 60 percent of the marketplace.
Verizon partner accidentally leaks customer data
Were an attacker to gain access to a person's PIN , they could theoretically hijack the victim's Verizon account and phone number. Verizon has confirmed that they were the victim of a data leak affecting up to 6 million customers.
Nintendo Switch Mobile App will be released on July 21, 2017
Using the app, you'll be able to send invites via social media networks and messaging services which actually sounds interesting. This feature can allow the users of the app to invite their other friends to participate in the matches that are held online.
Modi leaves for Israel on his three-day historic visit
And now, unlike many foreign officials visiting Israel , Modi will not go on to meet Palestinian leaders in Ramallah. During the Cold War, India did not have open relations with Israel , leaning heavily in favour of the Palestinians.