The 40-year-old died of breast cancer, which had spread to her bones.
Maryam Mirzakhani is awarded with the 2014 Fields medal at the International Congress of Mathematicians in Seoul, South Korea on August 13, 2014.
The Fields Medal, often described as the mathematician's Nobel Prize, is given every four years to no more than four mathematicians, all of whom are 40 or younger.
Born in Tehran in 1977, Maryam was twice awarded the International Mathematical Olympiad's gold medal in her youth.
She received her BSc in mathematics in 1999 from Sharif University of Technology in Tehran and then went on to earn a PhD from Haravard University in 2004. She specialized in theoretical mathematics.
A year later, she became the first Iranian student to achieve a ideal score and win two gold medals at the Olympiad.
Her work could help advance understanding in physics, quantum mechanics and areas outside math, Stanford said in an online news article about her death. She was the first female recipient since the award's establishment in 1936.
In short, Mirzakhani was fascinated by the geometric and dynamic complexities of curved surfaces - spheres, doughnut shapes and even amoebas.
Firouz Naderi’s post in Instagram in reaction to Mirzakhani’s death
Mirzakhani died Saturday, Stanford University said.
"A light was turned off today. far too soon".
"It's like being lost in a jungle and trying to use all the knowledge that you can gather to come up with some new tricks, and with some luck you might find a way out", she added.
She had dreamed of becoming a writer when she was young, she said, but instead pursued her enthusiasm for solving mathematical problems.
As a professor and scholar, Mirzakhani's pictures helped her write stories with her math.
Mirzakhani is survived by her husband, Jan Vondrák, and a daughter, Anahita - who once referred to her mother's work as "painting" because of the doodles and drawings that marked her process of working on proofs and problems, according to an obituary released by Stanford.
"We had a run planned with it, but I didn't like it - especially looking forwards because of the curvature", he said. We are up for better safety, but it's not up for us to come up with a solution or say we want this or this".
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