To say I am studying at a university:
Ich studiere an einer Universität.
I am studying at the University of Heidelberg:
Ich studiere an der Universität Heidelberg.
I am studying at the TU Munich:
Ich studiere an der Technischen Universität München.
Is the article "der" needed in these examples?
What about for foreign universities like Cambridge, Oxford, Harvard, MIT? Would they all be feminine, since they are universities? (But keep in mind that MIT is an "institute of technology".)