Typescript 1.4 has been released recently, providing new possibilities like unions.
I installed the new version for Visual Studio, however the syntax highlighting do
Rather than turning off Resharper, you could configure it to ignore analysing errors in *.ts files. (Tools -> Options -> Resharper Options -> Code Inspection -> Settings -> File Masks to Skip -> add *.ts)
This way you still benefit from using Resharper for other files, and you also get the benefits of code formatting and the like for TypeScript using Resharper.