I am happy with my arrangement of meeting mine monthly, but the "on a couple of occasions I've gone away and solved problems he's been working on. At his prompting, one of my solutions is going to turn into a research paper in my name only" appeals to me!

I think that would appeal to a lot of people in fairness. Personally I would prefer to be solving my own problems and not those of somebody else. At the end of this process, which is close now, I want to be as independent as possible, Like I said, its interesting how different people like different approaches.