In his presentation he mentions that it can be compiled inside the web browser, however, Microsoft did not supply the necessary tools/examples showing you how to embed the compiler inside your web page (as opposed to having it compiled on the back-end). Fortunately, github has a nice example, proving that it can be done. I installed the sample on my server so you can simply test it live if you want. For some reason the demo only works on my phone if I “request a desktop site”. But requesting a desktop site proves that the demo can compile just fine from the phone.
I may put it through the paces and change it a bit as I am rather curious about this new language myself. Compiling TypeScript on the client, means that the server does not need any special support or plug-ins or compilers installed. It will just work. However, you might want to consider compiling it on the back-end to protect your valuable code.
Why not use our Smart Mobile Studio compiler? Then you can write object pascal and compile to JS. Much easier and very fun to work with. Instead of spending 3 weeks writing in native JS, you can do the same work in SMS in 3 days using object pascal.