The university puzzle requires some rather abstract problem solving. I'm only giving out vague hints here, because I don't want to spoil the puzzling fun. After all, besides the story, that's what adventures are all about. So be aware, like with the other hints, this puzzle will still be hard as f***.
Best regards Christian
--- Warning spoilers below ---
As the university professor told you, she will only hand out the key to a police officer.
As the police officer told you, he won't let you inside the police office without Glocke's approval.
Pay attention to the item the professor gave you, Item - Item interaction is possible.