Browse Dissertations and Theses - Mathematics by Contributor "Kapovich, Ilya"

  • Gupta, Neha (2016-05-03)
    This thesis primarily addresses the problem of untangling closed geodesics in finite covers of hyperbolic surfaces. Our motivation comes from results of Scott and Patel. Scott's result tells us that one can always untangle ...

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  • Uyanik, Caglar (2017-06-26)
    This thesis is motivated by a foundational result of Thurston which states that pseudo- Anosov mapping classes act on the compactified Teichmüller space with north-south dynamics. We prove that several analogues of ...

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  • Pho-on, Witsarut (2017-04-19)
    In 1996, Masur and Minsky showed that the curve graph is hyperbolic. Recently, Hensel, Przytycki, and Webb proved a stronger result which was the uniform hyperbolicity of the curve graph, and they also gave the first proof ...

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