How to deal with left over work from a Post Doc

The easiest way to do this is to politely inform your previous advisor that you no longer have the time to commit to the projects you were working on as a post doc. It is not your responsibility to train others in his lab, or to take on duties beyond what you're comfortable with.

One option to consider, if you're working on a "for hire" basis, is to offer the possibility of hiring you on a contract basis to do the work. You would then be able to set the scope and extent of the work, as well as your compensation. If your advisor was unwilling to accept the terms, it would put the refusal on him, and you'd be more or less "in the clear," so to speak.

As for the pay rate, you should probably select a rate that is between the academic and corporate rates, but leaning more toward the former—remember that academic pockets are typically not as deep as corporate ones.

Since your reasons for wanting to finish your own papers are personal, then I think you should seriously consider doing the work for free. The obvious disadvantage is that you have to do it in your spare time (perhaps by deliberately not filling your schedule with contracts), but it has two benefits:

• it forces you to assess whether you really, truly do want to finish them for personal reasons, and that these reasons alone justify your time.
• it forces them to accept that you don't work for them, they are not your boss, that they cannot afford you, and you're involved on your terms now. This stops them expecting you to do whatever they ask as opposed to strictly only what you wish to do as a collaborator on the one or two papers in question. If you take their coin, you may not be able to hold this line.

It also means you only have to do the things that strictly need to be done by you, and as far as possible you can encourage other (paid) authors to pick up bulk of the work completing the paper. Of course if you were always the only author doing any actual work then "as far as possible" is "not at all".

However, if your reasons for wanting to finish the papers are professional (that is to say, you're hoping to get back into academia and want the credit) then, although it seems like a paradox, I think you should not do so unless you get paid at least at a plausible rate for the role, and preferably for a rate that takes into account any benefits that you're missing out on as an external temporary employee rather than a full-time postdoc. Chances are they can't afford this, so chances are it won't happen and you have to let those papers go. Either your supervisor considers them worth their time to finish, or not, you can let that decision out of your hands.

The reason is that if you want to do something for a living, you have to make sure it's paying for itself. Else you don't have a profession, you have a hobby of acting like someone else's employee and doing what they tell you as if they're your boss. You also give them no incentive to do what you want, which is to find the funds to rehire you, since you're doing the work anyway for nothing. It's tough to give up on a vocation, but if academia doesn't pay then you're better off paid in industry than as an unpaid academic, so be that. Or, if you think you can find an academic job elsewhere, focus on that job search and then, once you're stable again, figure out with your new employer whether and how you're going to finish the papers.

Depending on your attitude to work and pay in general, you might also consider whether you want to do unpaid work that they "should" pay someone else to do, and therefore you're contributing towards a job not existing where a job "should" exist. I'm not a fan at all of unpaid internships, but if you don't consider them a problem then fair enough.

How do I graciously refuse to touch others data?

First, it's rather cheeky of your ex-employer to even ask this, considering they let you go. However, on the principle that it's acceptable for anyone to ask anything provided they're prepared to accept no for an answer, say something like:

"I'm sorry, all I'm going to do is complete these 1 or 2 papers. I'm not available to maintain your software or train your staff."

This might mean that the software is no longer usable to them. But letting you go was their way of making this their problem and not yours. They can't hope to rely on your charity to reverse their funding shortage.

I am a little unclear about what it means for a postdoc to be "let go". Does this mean that you had a year-to-year contract funded by your supervisor's grant and he found out after three years that he didn't have enough money to keep you for another year? There's a sort of implied abruptness your choice of phrase, but I'm sure you know that many (most?) postdocs are three years or less. Certainly that's enough time for your supervisor to plan for the future of his work. Assuming that someone whom you've hired will continue to do that work after the end of their employment is...well, an assumption.

After reading your post I have one, key, question: you are now working in industry, not in academia. Are you looking to get back into academia, to have an industrial career, or are you not sure?

In my experience, the vast majority of the time when people leave academia for industry they really leave. In fact the famous mathematician Paul Erdos referred to people who left mathematics as having "died" (and thus also referred to people who had died as having "left"), and there is some insight behind this eccentric language. If you're doing a joint project with a student or postdoc and they "leave for industry", then in some ways it is as though they have died (and in others very much not, obviously); notoriously, it is not a good idea to leave such "dearly departed personnel" with work to do on projects; rather it sort of goes without saying that they will completely stop working on whatever they are doing and keep their authorship on all their partially completed projects (with the idea that it won't affect their career much either way, so why not be nice about it). So if you are done with academia then I think you can just communicate that to your supervisor. As I said before, if that's awkward for him it's really his fault rather than yours. If you left things in good working order on your departure, I think you can have a clear conscience.

On the other hand, if you want to continue to have an academic career then in my view your supervisor is giving you an opportunity by prompting you to write up your old projects and trying to involve you in new ones. That's exactly what you need to be doing to get back into a research-based academic job. In terms of how much to ask to get paid for that -- maybe things are different in your field, but to me that sounds a bit strange. On the one hand you were "let go" precisely because there wasn't available money to pay you so....how can there be enough available money to pay you? On the other hand professional academics usually do not work for hire: whatever they get paid is for "full time work", and to be honest about it, the payment for much of the hard work that is done in grad school and the years afterwards is the promise of a permanent academic job in the future. Whenever I collaborate with students or postdocs, they are "working for free" in the sense that if they write X more papers it has no effect on their salary.

I think you should figure out how much involvement you want to have in academia in the future. Since you now have an industrial job which is paying 3-6 times as much as your academic job, I think you're seeing most of the financial rewards there. I encourage you to stick with the academic work if and only if you foresee getting nonfinancial rewards from it. If you don't, don't be afraid to bow out, and don't overthink how to do that: just say that you are now working full time in industry.