Professors and univeristies "are both protected by academic freedom"
NYRB: "When a college disciplines a professor for something she said in class, online, or in her scholarship, the question is often not whether but whose academic freedom will prevail. The university's academic freedom includes the authority to enforce professional standards,* but the professor has the right to express herself within those standards as she deems fit"
*- and, note that "Universities [...] routinely make judgments about the content of a professor's teaching and writing in hiring and tenure decisions, and they demand that professors 'publish or perish'"