I am in the final stages of my PhD in pure math, and have been submitting applications to positions. Most of these have been through mathjobs.org but some positions of interest to me don't use that site.
When applying through mathjobs.org, I have a standard AMS cover sheet (generated by the site) giving my personal address, the address of my department at my university, my email address, and my phone number.
I've also written a cover letter for each school that requires one. Following advice of professors at my school, these cover letters give the university address as the return address, not my personal one. Apparently this makes it clear that I can actually be contacted through the school I'm saying I attend, and that I'm not some crazy person pretending to be getting a PhD. But in reality I am not in the habit of getting mail at my school. Also in the midst of sending out many applications it slipped my mind that some non-mathjobs.org applications have now been sent with only my school address, since they don't have the AMS cover sheet. Is it really not appropriate to have my own address on a cover letter?
Where would a response from a hiring committee typically be sent? Should I get in the habit of checking for mail to me at my department? Is this usually done by email? Or would a job offer be sent to my personal address? Would they call me on the phone?
While I'm at it, how long should I expect to wait before receiving any responses? I know this depends highly on which job it is, but just a rough idea of this would be helpful.