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Group Actions and Dynamics

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Indefinite Integral Quadratic Forms Beyond Reduction Theory

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Quantitative spectral gap for thin groups of hyperbolic isometries

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Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric sapces

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Higher rank counting problems

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Topological mixing for some residual sets of interval exchange transformations

  • Read more about Topological mixing for some residual sets of interval exchange transformations

Kleinain groups and Measure classification for horospherical groups

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Rigidity of hyperbolic higher rank lattice actions

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Towards the eigenvalue rigidity of Zariski-dense subgroups

  • Read more about Towards the eigenvalue rigidity of Zariski-dense subgroups

Effective Discreteness of the 3 Dimensional Markov Spectrum

  • Read more about Effective Discreteness of the 3 Dimensional Markov Spectrum

Stationary measures on projective spaces.

  • Read more about Stationary measures on projective spaces.
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