We prove long-time Strichartz estimates for solutions to the linear Schrodinger equation on generic irrational tori. This improves the recent work of Bourgain and Demeter. As an application, we also establishpolynomial bounds for Sobolev norm of solutions to the energy critical nonlinear Schrodinger equation in 3D. The first part is joint work with P. Germain and L. Guth.