This one-paragraph 1997 short story by Lydia Davis, “A Position at the University,” captures, at least for me, some of the ambivalence involved in identifying myself as an academic–that is, about being “the sort of person who has a position at the university.” Davis wrote:
I think I know what sort of person I am. But then I think, But this stranger will imagine me quite otherwise when he or she hears this or that to my credit, for instance that I have a position at the university: the fact that I have a position at the university will appear to mean that I must be the sort of person who has a position at the university. But then I have to admit, with surprise, that, after all, it is true that I have a position at the university. And if it is true, then perhaps I really am the sort of person you imagine when you hear that a person has a position at the university. But, on the other hand, I know I am not the sort of person I imagine when I hear that a person has a position at the university. Then I see what the problem is: when others describe me this way, they appear to describe me completely, whereas in fact they do not describe me completely, and a complete description of me would include truths that seem quite incompatible with the fact that I have a position at the university.
It was published in her collection of stories, Almost No Memory.