It's a confused picture, isn't it, even if you discount the abbreviations.
It occurred to me that, as in
I'm studying at Harvard or Harvard University, not the Harvard University.
if the university takes the name of the city or area it's in (or a person's name), then you normally wouldn't use "The". Such as, York University, Edinburgh University, Bristol University, Massachusetts Institute of Technology, Tulane, McGill.
If it does not, as in, for example, The Open University, then the converse applies. Usually.