A recent question asked about applying for tenure-track jobs before the end of a postdoc. I'm in a similar position, also in math, and would like to ask the same question with an additional twist.
I'm in the middle of a postdoc. I've been advised to apply to places I'd definitely accept offers from this year, but my wife will also be looking for a job. She is not quite looking for an academic job, but the ideal outcome would be for her to work at the same institution as me, in a non-faculty job. (Let's say she wants work in the registrar's office.) The hiring for her sort of job doesn't take place so far in advance.
I would be very reluctant to accept a job a year early if I did not know for sure that my wife would also be able to find something there, especially if we were not moving to a big city (and we would prefer not to, if we can help it).
I'd be grateful for any general wisdom, but here are a couple concrete questions:
If I get an offer and turn it down because she can't find anything, and finish out my postdoc instead, would this be a very bad move?
If I get an offer and she can't find anything, is it possible I would be able to defer a year to help her job hunt?