"Maryam Mirzakhani has made striking and highly original contributions to geometry and dynamical systems. Her work on Riemann surfaces and their moduli spaces bridges several mathematical disciplines — hyperbolic geometry, complex analysis, topology, and dynamics — and influences them all in return. She gained widespread recognition for her early results in hyperbolic geometry, and her most recent work constitutes a major advance in dynamical systems."
in http://www.mathunion.org/fileadmin/IMU/Prizes/2014/news_release_mirzakhani.pdf
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