While I have no answer for your question, the school is either U of R, UR, or U Roch. U of Roch is just plain wrong lol.
(sorry, went to Rochester for undergrad)
Speaking of which, I'd almost not go to Rochester just because they've extended the sheer horror of UR related puns. Imagine my horror (when visiting my younger friends) when I saw that they had renamed Flex dollars (that you use at the vending machines and laundry rooms) to URos. At first I just went "huh?" before realizing that it wasn't just nonsensical, but a horrifying attempt at making it sound like Euros. The horror of the pun scarred me for life I think.
You see, even as a medical student you wouldn't be able to escape this sort of pun. Sure, most of the terrible UR related pun signage is probably going to be on the undergraduate campus, but sadly, you too would need to use URos (shudder) if you wanted to buy vending machine goods at the medical center, or if you live in the graduate housing, for the laundry machines. So the bad puns are something you too will have to live with.