What's the name of/for your original uni?

[Xinfu]

To ask an exchange student:

-What's the name of/for your original uni?

Is it right? Are there alternatives of telling the same thing?

[Rusty]

What's the name of your university?

This is sufficient. The intended meaning is clear.

Are there alternative ways to say the same thing?

[Xinfu]

Thank you~

I especially like the correction~