Her research topics include Teichmüller theory, hyperbolic geometry, ergodic theory, and symplectic geometry. In 2014, Mirzakhani became both the first woman and the first Iranian honored with the Fields Medal, the most prestigious award in mathematics. The award committee cited her work in "the dynamics and geometry of Riemann surfaces and their moduli spaces".
Mirzakhani died from breast cancer on July 14, 2017 at the age of 40.
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