Pure and Applied Mathematics Quarterly

A Summary of the Work of Gregory Margulis

Global Existence and Uniqueness Theorem for 3D Navier-Stokes System on T3 for Small Initial Conditions in the SpacesΦ(α)

Diophantine Properties of Measures and Homogeneous Dynamics

Bounded Generation and Lattices that Cannot Act on the Line

Proximal Linear Maps

Diophantine Approximation and Dynamics of Unipotent Flows on Homogeneous Spaces

Jordan Decomposition in Lattices and Quasi Unipotence

A Measurable Cartan Theorem and Applications to Deformation Rigidity in Complex Hyperbolic Geometry