[Not a teacher]
You can use the present simple (I study) or the present continuous (I am studying) to describe something that you regularly do in a given time period, although the present continous usually implies that the situation or action is or may be temporary.
I study at K University (as a permanent or long-term activity, because you are a regular student).
I am studying at K Univerity (as something that is temporary or may be not permanent, because, for instance, you are studying some course, module, workshop or whatever other learning program.
Student or Learner