After 1936, when the Mathematics prize was first established, Mirzakhani ended a long wait for women in this category in 2014, thereby making her country proud as the recipient of this honour.
Mirzakhani fought with cancer for four years and was hospitalized recently as the cancer has spread to her bone marrow.
Maryam Mirzakhani, the Iranian genius mathematician and the first-ever female victor of the prestigious Fields Medal prize, died of breast cancer at a hospital in USA on Saturday.
At the time, she had become the first girl named on Iran's team in the International Mathematical Olympiad and had already won gold medals in the 1990s, NPR reported. She left Iran to pursue her post-graduate degree in the United States, earning a PhD from Harvard in 2004.
Her work focused on the complexities of curved surfaces, such as spheres and doughnuts.
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"On behalf of the entire Stanford community, I congratulate Maryam on this incredible recognition, the highest honor in her discipline, the first ever granted to a woman", said Hennessy. Marie-Curie had Nobel prizes in physics and chemistry at the beginning of the 20th century, but in mathematics this is the first time we have a woman winning the most prestigious prize. She went on to win the 2009 Blumenthal Award for the Advancement of Research in Pure Mathematics, and the 2013 Satter Prize of the American Mathematical Society. In 2008 she became a professor of mathematics at Stanford. The award is only given out every four years to between two and four mathematicians under 40. She said in interviews that she liked the interdisciplinary connections and implications of her work.
As a professor and scholar, Mirzakhani's pictures helped her write stories with her math.
Mirzakhani, who joined Stanford in 2008, specialized in theoretical mathematics.
"There are different characters, and you are getting to know them better", she said.
She is survived by her husband, Jan Vondrák, and their daughter, Anahita.