Research Interests
My research area is Teichmuller theory and mapping class groups. It has rich connections with a wide assortment of topics such as 2 and 3-dimensional geometry and dynamics.
Papers
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Dynamics of non-classical interval exchanges, (2009),
http://arxiv.org/abs/0906.2563 PDF
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Harmonic measures for distributions with finite support on the mapping class group are
singular, (2009), http://arxiv.org/abs/0911.2891 PDF
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Minimal pseudo-Anosov translation lengths on the complex of curves, joint with Chia-yen Tsai, (2009), Geometry & Topology 15 (2011) 1297-1312.
PDF
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The limit set of the handlebody set has measure zero, (2011),
PDF
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Every transformation is disjoint from almost every
non-classical exchange, joint with Jon Chaika, (2011). PDF
