14/08/17 16:16:02.22
>>9 関連
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Maryam Mirzakhani
Research work
Mirzakhani has made several contributions to the theory of moduli spaces of Riemann surfaces.
In her early work, Maryam Mirzakhani discovered a formula expressing the volume of a moduli space with a given genus as a polynomial in the number of boundary components.
This led her to obtain a new proof for the formula discovered by Edward Witten and Maxim Kontsevich on the intersection numbers of tautology classes on moduli space,[5]
as well as an asymptotic formula for the growth of the number of simple closed geodesics on a compact hyperbolic surface.[17]
Her subsequent work has focused on Teichmüller dynamics of moduli space.
In particular, she was able to prove the long-standing conjecture that William Thurston's earthquake flow on Teichmüller space is ergodic.[18]