Maryam Mirzakhani<\/a> has made stunning advances in the theory of Riemann surfaces and their moduli spaces, and led the way to new frontiers in this area. Her insights have integrated methods from diverse fields, such as algebraic geometry, topology and probability theory.<\/p>\nIn hyperbolic geometry, Mirzakhani established asymptotic formulas and statistics for the number of simple closed geodesics on a Riemann surface of genus g. She next used these results to give a new and completely unexpected proof of Witten\u2019s conjecture, a formula for characteristic classes for the moduli spaces of Riemann surfaces with marked points.<\/p>\n
In dynamics, she found a remarkable new construction that bridges the holomorphic and symplectic aspects of moduli space, and used it to show that Thurston\u2019s earthquake flow is ergodic and mixing.<\/p>\n
Most recently, in the complex realm, Mirzakhani and her coworkers produced the long sought-after proof of the conjecture that \u2013 while the closure of a real geodesic in moduli space can be a fractal cobweb, defying classification \u2013 the closure of a complex geodesic is always an algebraic subvariety. <\/i><\/p>\n
Mein English ist ja nicht schlecht, aber ich muss die Segel komplett streichen; ich verstehe ja schon auf Deutsch kaum etwas. <\/p>\n
Ceterum censeo: Hyperintelligente Frauen finde ich hyperattraktiv. Aber vermutlich w\u00e4re f\u00fcr die eine Konversation mit mir sehr langweilig.<\/p>\n
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