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Research interests

Flat surfaces, Teichmüller curves: These are geodesic discs in Teichmüller space that project to algebraic curves in the moduli space of curves.
GL_2(R)-action on the moduli space of holomorphic one-forms on curves.
Shimura varieties, Arakelov type inequalities Billiards.
On the right you can see a billiard table with 'optimal dynamical properties'.
Billiard_4_9sw

 

geändert am 13. April 2011  E-Mail: Webmastermoeller@math.uni-frankfurt.de

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Druckversion: 13. April 2011, 06:34
http://www.uni-frankfurt.de/fb/fb12/mathematik/ag/personen/moeller/research/index.html