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Group Actions and Dynamics

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Diophantine Approximation on Fractals and Homogeneous Flows

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Zimmer's conjecture for some non-split Lie groups.

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Prime orbit theorems for expanding Thurston maps

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Equidistribution, Diophantine approximation, and Grassmannians

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Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay

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Non-accumulation of periodic torus orbits

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Permutational stability of equations and groups

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Ramanujan complexes and golden gates in PU(3).

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The Hausdorff Dimension of Divergent on Average Sets of Directions for Teichmuller Geodesic Flow.

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Almost-prime times in horospherical flows

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