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.
I felt that somewhere if I had few more batters to support me, maybe my game would have been much better. This win ensured India qualify for the semi-final of an ICC event for the first time since 2010.
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.
Two sources familiar with the matter said it was an internal issue, ruling out any external cyber attack or hacking. There have been a few occasions in 2014 when the BSE faced a similar glitch while the NSE continued operations.
China's imports of coal totaled 2.68 million tons in the first half of the year, down 74.5 percent from the previous year. Iron ore is among China's biggest imports from the North after it stopped buying coal this year due to the sanctions.
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".
If Amazon sinks its teeth into this business, it may drive customers to buy products from Amazon instead of from a Best Buy . You can use Apple's website to find a local Apple Consultants Network member to help, assuming you've heard of the program.
The door of the recruiting center was blown off and landed in a parking space in front of the storefront and soot-covered windows. Witnesses said someone on a red motorcycle tossed a backpack, which then exploded, Tulsa news station KJRH-TV reported.
Popular products will sell out quickly, and the last thing you want is to miss out because you were checking up on another deal. Save $20 on Philips Hue Lightstrip Plus 2 Generation - works with Alexa - say, "Alexa, order Philips Lightstrip Plus".
Bedford Police said they are monitoring the situation but that there is "no danger to the community at this time". A woman who answered the phone at the company's Acton headquarters said, "We don't know what's going on".
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.
After the arrival of Alexandre Lacazette in a £46m deal, Giroud's future at Arsenal looks uncertain. He's previously been linked with a move to the likes of French sides Marseille and Lyon .
US Lawmakers set to question Trump campaign chairman
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.
Oculus slashes Rift price for second time this year
Years of Palmer Luckey's promises to hit a $350-400 price sticker with the first consumer model were undercut in an instant. That's in contrast to the SteamVR-powered HTC Vive , which is still sold for a profit at its post-Brexit price of £760.
MAN: HOMECOMING Swings $40.7m From Thursday Debut
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.