Group Actions, Geometry and Dynamics
Printer-friendly versionExplicit spectral gap for Schottky subgroups of SL(2,Z).
Classification of divergent trajectories
Applications of quantitative disjointness for the trivial action
Lyapunov exponents, Schrödinger cocycles, and Avila’s global theory.
Rigidity of conformal measure preserving representations via self-joinings
Arithmetic Quantum Unique Ergodicity for 3-dimensional hyperbolic manifolds
3-manifolds built out of 1-dimensional actions (Joint with Geometry/Topology seminar)
Joint equidistribution of maximal flat cylinders and holonomies in Anosov homogeneous spaces
Rigidity of lattice actions.
