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No, it's not looked down on. It rarely happens, but that is because switching from a nonacademic job to an academic job is usually a poor economic choice.


The difficulty is that academic positions are determined by your recent work. If you have left pure math academia then unless you have been publishing pure math papers on the side then you don't have any recent work to merit a new appointment.


There is the often stated claim that "ideas are cheap, execution is expensive" - that is not entirely true; it definitely depends on the situation. I therefore do not fully agree with my co-respondents that the risk of stealing ideas is small. It does definitively happen, rarer than one may fear, but more frequently than one may hope. For instance, ...


If an idea is developed enough to run with it and write a paper, do so. Only share the key insights with your collaborators, if any. Less well-formed ideas are unlikely to be worth stealing. In doing research, much of the hard work consists of taking projects from the idea stage to the ready-to-write-a-paper stage. For established researchers, ideas are ...


Basically you can't prevent it. Ideas are free to use. I assume that in "sharing" your ideas you are also hoping to get (and utilize) the "ideas" of others. This is fine. But you don't need to be an "idea faucet". You can seek collaborations with people and share the key ideas with them. Collaborations are valuable at any stage ...


There exists research positions in the UK for people with an MSc but no PhD, which are not necessarily meant for acquiring a PhD while employed. Such positions are rare however, and definitely not a natural stepping stone on the way to a PhD. I suspect that the pay of these positions will be insufficient by itself to make you count as "highly skilled ...


This would generally be understood. I am not sure why the declined offer would be a major plot point in a recommendation letter (but then academics write all sorts of irrelevant stuff in such letters).


You wrote in a comment: I was worried about being negatively judged. Let them judge you! If something is important to you, if you base life changing decisions on it and if it bothers some people, then you can use it as a very reliable indicator that you would not want to work with them.


Would researchers understand that researcher's decision? You seem to be imagining the other researchers as being much more interested in the personal life and preferences of someone they don’t know than they actually are. In truth, the researchers would not “understand”, simply because they have no particular interest in why someone chooses to go or not to ...


I’m not sure I understand your question. People turn down offers all the time (even if they don’t have a competing offer) for all kinds of perfectly valid personal reasons. The city is not to their liking in this or that way, the university does not offer sufficient spousal or child support, the cost of housing or living is too high, the commute is too long ...

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