Recently Bourgain-Demeter proved the sharp(time 1)Strichartz estimates for the linear Schr(o)dinger equation on general rectangular tori.These estimates are optimal in the rational case,but for irrational tori the same estimates actually hold on longer time intervals.In this talk we will discuss progress in this direction,and an application in controlling the growth of higher Sobolev norms for nonlinear Schr(o)dinger equations.This is joint work with P.Germain and L.Guth.