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Hi pk, thanks very much for your thorough response. I realized soon after posting that there is an option for part-year residency for NJ, so thanks for confirming that. 

I am abroad indefinitely and possibly for good, and not at the behest of my employer. NJ is not my home state and I do not intend to return there, but I do have an NJ ID and bank account; perhaps that's enough to keep me tied to it?

NY entity has not withheld taxes and I'm classed as a 1099 contractor--do I still need to file Schedules C and SE? (This is all new to me.)

Thanks so much again for your help and insight!