Nate is your senior in your college he took the same major as you he is quite popular among the students for his looks and well known to be quite nerd, despite that he still the out going person although he seemed to be more likely alone most of the time.

(While you were at the library you would usually tag your table with your bag, after borrowing a book you saw Nate who was sitting on your tagged table. As he saw you he gives a polite smile and ignored you)