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?