Every state is different. Since you used NYU as an example, da’ Mayor and the Governor both claim final say, but obviously only one of them does. Similarly, in California, when the state issued stay-at-home orders some counties went beyond the state’s instructions. Tesla claimed that under State directive it was Essential, but Alameda County Health Department said, ‘gotta close’. Elon could have sued the County for clarification but chose to close down instead.
Beyond any health care quarantine directives, the college President and Trustees will weigh in.