Maryam Mirzakhani

Maryam Mirzakhani ( MAY 1977 in Tehran ) is an Iranian- American mathematician.

Mirzakhani won already as a student (at the Farzanegan school) a mathematical talent competition in Tehran as well as 1994 and 1995 gold medals at the International Mathematical Olympiads. She studied at the Sharif University in Tehran with a bachelor 's degree in mathematics in 1999 and at Harvard University, where she received her doctorate in 2004, Curtis McMullen (Simple Geodesics on Surfaces and Hyperbolic Volume of the Moduli Space of Curves ). She was a Junior Fellow at Harvard in 2003 and 2004 Research Fellow of the Clay Mathematics Institute. Since 2008 she is a professor at Stanford University.

It is concerned with hyperbolic geometry, symplectic geometry, Teichmüller theory and ergodic theory. In 2009 she received the Blumenthal Award of the American Mathematical Society for their dissertation. In the eulogy, the original combination of methods of hyperbolic geometry, classical methods from the theory is highlighted automorphic forms and symplectic reduction, which led to results in three important problems: a recursive formula for the Weil- Petersson volumes of the moduli spaces of Riemann surfaces, an asymptotic proved determination of the number of simple closed geodesic on the hyperbolic surfaces as a function of length and a new proof of Witten 's conjecture about the existence of exactly integrable structures of the Korteweg -de Vries type in determining the average numbers in moduli spaces of curves ( first in 1992 by Maxim Lvovitch Konze Malevich ).

She is married to the mathematician January Vondrak (IBM Almaden Research Center). 2013 Ruth Lyttle Satter she was awarded the Prize in Mathematics. She was selected as Plenarsprecher at the International Congress of Mathematicians 2014 in Seoul.

In Tehran, it was published in 1999 a book on elementary number theory problems with Roya Beheshti ( a fellow student in Tehran ). They also dealt with graph theory.

Works (selection)

  • Simple geodesics and Weil- Petersson volumes of moduli spaces of bordered Riemann surfaces. Inventiones Mathematicae 167, 179-222 (2007 ) pdf
  • Weil- Petersson volumes and intersection theory on the moduli space of curves. Journal of the American Mathematical Society 20, 1-23 (2007), pdf
  • Growth of the number of simple closed geodesics on hyperbolic surfaces. Annals of Mathematics ( 2) 168-1, 97-125 (2008), pdf
Curtis T. McMullen Hans Petersson Edward Witten
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