Subconvexity and equidistribution of Heegner points in the level aspect

We will discuss certain sparse equidistribution property of Heegner points of level q and discriminant D, as q and D go to infinity. We will establish a hybrid subconvexity bound for certain Rankin-Selberg L-functions which are related to the equdistribution of Heegner points. This is joint work with Riad Masri and Matt Young.