elaborate on (someone or something)
To expand on a particular topic or idea. To say more about someone or something. Can you elaborate on that? I'm not sure I understand what you're trying to do there. In your next draft, I think you should really elaborate on your reading of this paragraph of the novel.
elaborate on someone or something
to give additional details about someone or something. Would you care to elaborate on that? I want to know more about Kelly. Could you elaborate on her?