SystemJS Typescript typing conflict

I’m currently in the process of looking into Angular2, coming from an AngularJS background. In that matter I’m also looking into SystemJS and Typescript.
However, I’ve got an issue getting Angular2 running using Typescript typings and SystemJS. Using Typescript without any typings works as expected, but as soon as I try to load any modules from the Angular2 typing, SystemJS can’t seem to resolve it.
From what I’ve read, the typings are shipped with the, so as long as I import that, I should be fine?
The error has some similarity with, but unfortunately his solutions didn’t work for me.