let g be a finitely generated subgroup of gl(n,q). under certain algebraic conditions, strong approximation describes the closure of g with respect to its congruence topology. super-approximation essentially tells us how dense g is in its closure! here is my plan for this talk: 1. i will start with the precise formulation of this property. 2. some of the main results on this subject will be mentioned. 3. some of the (unexpected) applications of super-approximation will be mentioned, e.g. banach-ruziewicz problem, orbit equivalence rigidity, variation of galois representations. 4. some of the auxiliary results that were needed in the proof of super-approximation will be mentioned: sum-product phenomena, existence of small solutions