Next phase should be to put the stabilizing aspects into play and make Weaver suitable for it. So in general finishing off the 'product', so they can work to long term implementation. Anonymous markets (legal stuff hopefully), businesses or markets that long for a stable and easy to use currency etc. Last part is something we can all contribute to. If you got ideas, post them here or contact devs.
https://ip.bitcointalk.org/?u=http%3A%2F%2Fi.imgur.com%2FXJMiF2a.png&t=569&c=U1T60GrqIcUSfA