stein's restriction conjecture is one of the central topics in fourier analysis. it is closely related to other areas of math, for example, number theory, pdes. in this talk, i will discuss a recent improvement of this conjecture in r^3, based on the joint work with hong wang. our proof is built upon the framework of polynomial partitioning, and, among other things, it uses the refined decoupling theorem, a two-ends kakeya estimate. the two-ends estimate captures some information from the method of induction on scales.