Group Actions and Dynamics
Uniform Spectral Gaps for SL(2,Z)Z^2 and Kazhdan’s Property (T).
Effective equidistribution of horocycles on geometrically finite hyperbolic surfaces
Orbit closures of unipotent flows on hyperbolic manifolds of infinite volume
Diophantine Approximation on Fractals and Homogeneous Flows
Zimmer's conjecture for some non-split Lie groups.
Prime orbit theorems for expanding Thurston maps
Equidistribution, Diophantine approximation, and Grassmannians
Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay
Non-accumulation of periodic torus orbits
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