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Higher spin mapping class groups and their applications

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The Shape of Thurston's Master Teapot

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Homology directions and veering triangulations

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Non-geometric veering triangulations and the Thurston norm ball.

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The Moduli Space of Generalized Cusps in Real Projective Manifolds.

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A central limit theorem for random closed geodesics

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Weil-Petersson analogs for graphs

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Counting square-tiled surfaces with prescribed real and imaginary foliations

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Punctured mapping class group actions on the circle

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Mirzakhani's curve counting

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