Here's the situation: we have this professor this semester who is an excellent teacher and is very friendly, but he has some ego issues. He promised a few of us internships at Princeton, Stanford, etc. and backed it up by saying he studied in those universities and has a lot of influence there.
Naturally we were drawn and submitted our CVs to him like he asked, but when we googled him, things failed to add up. He does have a few research papers to his name but has no obvious Princeton or Stanford association, so we're starting to suspect a scam.
My question is: should we be worried about identity theft, or some other scam since we gave him our CVs?