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Arithmetic and Geometry, Bonn, April 2013

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A mean value theorem

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Equivalence of norms

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radius-dimension symmetry for octahedra

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Liouville vs Cantor

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Lattice points on algebraic curves: a uniform estimate (after Bombieri and Pila)

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Schwarz mean value theorem and lattice points on analytic curves (after Bombieri and Pila)

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