and because I can, TOS characters as professors at this mysterious college that is totally different from my alma mater
James Kirk is a history prof. His own particular interest is in the socio-political side, especially in times of conflict. He teaches 20th century history, mostly. All the history major kids love him. His lecturing style is very energetic, he paces up and down in front of the class and tells history like a story. He also encourages discussion. In warmer weather, he often sits outside on a bench, reading glasses on and reading some thick book.
Spock (no one knows his first name and yes I know Spock is his first name in the show but in this au it's not) teaches 300 and 400 level computer science classes. Everyone's a little terrified of him, but he's obviously brilliant and does a really good job getting everyone through the semester. He's actually one of the most accessible professors in the department. All his students love him, but don't know anything more about him than anyone else. They do often spot him sharing a bench with another man who they think is one of the humanities professors..
(They're married because this is my au and I do what I want.)
Dr Leonard McCoy teaches Anatomy, Human Physiology, and every few years does a section of Gen Bio. His doctorate is actually a PhD; his ambition was to be a surgeon, but it didn't work out, so he hopes to help bright young people match his old ambition. Again, his students like him, especially the ones who work as his lab assistants. He tries to be faculty adviser for as many students as he can. He's best friends with Kirk and Spock and is basically this curmudgeonly adorable man who wears ascots and has a nice drawl... btw I guess these are the TOS movies versions of the characters, in case that wasn't clear
Nyota Uhura teaches both German and French and is actually quite fluent in several other languages besides. She wears a lot of bright colors and every other J-term she leads a linguistics class in Greece. She spent her last sabbatical teaching at Oxford because did I mention she's brilliant. She throws a party for the linguistics department graduating seniors at her house every year and gets Chekov to make his baklava for it. Several times a year Scotty will convince her to go sing karaoke at the townie bar because she has a beautiful voice and he loves hearing her sing as much as she loves singing.
Montgomery Scott, "Scotty" to everyone, teaches physics. His own interest is in particle physics, which he used to research at a big state school. He calls this is "semi-retirement." He's a very demanding teacher and prefers a more informal situation with fewer students to a huge lecture hall. Luckily, the only physics class that even approaches big is Gen Physics. He and Uhura are dating. BECAUSE I CAN.
Pavel Chekov teaches Russian, which not many people study so he's basically half the Russian department. He likes to tell a lot of little "facts" about Russian history, which usually take his students until midterms to figure out are all lies.
Hikaru Sulu teaches literature. He has the most interesting garden in town. He really likes doing dramatic readings during class.
[the last two are short, sorry, but this got long]