Getting rid of first degree to apply for second I finished my PhD a while ago but, long story short, got screwed over by my department and wound up entering industry rather than continuing my academic career as I had wanted. My degree and background are in pure math, which industry really doesn't care about (and I'm not interested in the NSA or finance), and thus I don't see any way of moving from industry into academia. I've considered getting a second PhD, but that raises the obvious question of why the first one wasn't enough, and I'm unlikely to get into as good a program coming in from industry as I had immediately after undergrad. (My argument would be that I would have done fine if I had had a different department or even advisor, but there's really no way of proving that, or even politely discussing it, in any sort of application.) What I want is a place where I can do research and churn out papers in my field to build up a nice CV for future things, and that idea doesn't seem feasible outside of a postdoc or grad school. I can't get the former, so my thought was that I could go through grad school a second time. 

So, here's my question: Can I somehow revoke or renounce my degree? It's not useful to me; and in retrospect, I should have quit or transferred instead of finishing. (I did try to transfer at one point but wasn't able to arrange anything useful.) It seems easier to go from industry to grad school than from grad school to industry back to something academic again, and it certainly looks weird to apply for a second doctorate a substantial amount of time after the first. Obviously I don't want to lie and claim that I never got a PhD in the first place, so is there some way of officially getting rid of it and forgetting it ever happened? What I want at this point is to start over from scratch, and I'm not sure how to arrange that.
Don't throw out something you already have. If your goal is to do research and write some papers, then you can in essence do that in your spare time. If you're good, people will want to collaborate with you and mentor you whether you're a graduate student or not. In other words, I don't see the reason why you want to go through graduate school a second time -- having to take all of the classes again, take qualifying exams again, etc. All of that  doesn't help you in your goal, for which you are already qualified because of your previous PhD.

Of course, it may be that you want to go back to be a grad student because it usually also includes a stipend, health insurance, etc. But you can get that from other sources as well: You could do research in your spare time, or simply have a part-time job so you have more time for research. A good part-time job may in fact pay no less than a grad student salary.

A particularly useful choice for a part-time position would, of course, be within a math department itself. For example, you could seek to be a lecturer in a math department, where you teach let's say half of the usual load, for half the salary, leaving you the other half of your time for research and paper writing. This would also give you access to professors with whom you may want to work, and you would likely be able to audit courses for free if you're already a member of the department.