Hello tsarstepan, thanks for your answer
We do indeed have a messaging system at the university, but I have to say that since I see her in person regularly, it would probably be a bit strange and not necessary to text her there out of the blue, right?
In the long run it's very difficult, at least in my opinion, to get to konw someone through just seeing each other in class, but I actually find it very difficult to convince someone to meet outside of class. (one of my bigger problems).
So I plan to bring up uni related stuff with her next time in class and maybe move on to more personal topics from there. If the conversations are good, I've thought about maybe someday offering her help with her exams outside of uni (she knows I'm a good student). Does that sound like a good plan?