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Aug 19, 2017 at 21:07 vote accept user113577
Aug 19, 2017 at 19:49 history migrated from mathoverflow.net (revisions)
Aug 19, 2017 at 19:38 comment added Kimball However, already having a PhD probably is an obstacle (as you mentioned in a comment above).
Aug 19, 2017 at 17:15 comment added Deane Yang Agree with this. You can effectively do everything a PhD student does without being a PhD student, and you clearly already have most of the skills. If the department you're currently in doesn't have what you want (quality or specialty), apply for teaching jobs at departments you would prefer to be at. These days, even top departments have such jobs, so you might be able to work at a much better department than you could get into as a PhD student. It's hard to do research as an untenured instructor, but there's at least one recent successful case (Yitang Zhang).
Aug 19, 2017 at 15:12 history answered Alexandre Eremenko CC BY-SA 3.0