4 weeks after on campus interview - ask about update I had an on-campus interview for a tenure track assistant professor position in mathematics about 4 weeks ago.  The interview seemed to go well, I felt I was well-received.  I was told at the end of the interview that they had more interviews scheduled over "the next couple of weeks" and would then begin to make offers.

I interpreted this as two more weeks of interviews, meaning it's been two weeks since interviews have likely finished now.  I have no idea how long it takes to prepare offers or when it is reasonable to ask for an update.

Not sure if it's relevant, but I am currently a Ph.D. student in mathematics, defending this semester, and have an unusually diverse teaching background (for a Ph.D. student anyway).  This is a teaching-focused institution.  I'm sure my competition is probably more experienced (not likely soon-to-be Ph.D.s like me, but rather people who have had post-doc experiences, etc.)

Is it reasonable to ask about the status of the search?
It's possible that they simply haven't yet finalized their ranking, gotten approval,  and made the first offer.  It seems more likely or that they have done so and you weren't their first choice.  You can certainly ask what the status of the search is, and they'll probably tell you whether or not an offer has been made, but don't expect to be told who has been made an offer or whether you're still in consideration.  

If you are still under consideration and everyone ahead of you on the list turns down their offers, then you might get an offer later.