In this thesis I study the geometry and topology of coisotropic submanifolds of sym- plectic manifolds. In particular of stable and of fibred coisotropic submanifolds. I prove that the symplectic quotient B of a stable, fibred coisotropic submanifold C is geometrically uniruled if one imposes natural geometric assumptions on C. The proof has four main steps. I first assign a Lagrangian graph LC and a stable hyper- surface HC to C, which both capture aspects of the geometry and topology of C. Second, I adapt and apply Floer theoretic methods to LC to establish existence of holomorphic discs with boundary on LC . I then stretch the neck around HC and ap- ply techniques from symplectic field theory to obtain more information about these holomorphic discs. Finally, I derive that this implies existence of a non-constant holomorphic sphere through any given point in B by glueing a holomorphic to an antiholomorphic disc along their common boundary and a simple argument.