I am having trouble creating an Apache Cordova project in Visual Studio 2013 with their new CTP1.1 patch that enables support for these project types. I had my environment w
The project creation issues may be fixed now since there were several new CTP releases of the Cordova tools and they have reached RTM in Visual Studio 2015. It looks like this issue was also solved in the comments (though separate issues came up). I work in the team that builds these Cordova tools and I know that we fixed may installation issues since the CTP 1.1 release, so I'd suggest upgrading.
Also, since it was mentioned in this question - Here's some guidance for using TypeScript files in Visual Studio with Apache Cordova:
https://github.com/Microsoft/cordova-docs/blob/master/getting-started/tutorial-typescript.md