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This is rather a curious question based on future career after PhD, looking at the crisis in academic/teaching job market.

If one completes PhD with pure mathematics (Algebraic Number Theory) with few good(not excellent) publications and to some extent good background (not excellent). Assume they are not ga enius but they are hard working. Assume they are searching for a permanent job in college/university teaching but is suffering while there are options to work as post-doc/research associates for them.

The question:

Exclude the possibility of getting a permanent teaching job. Can one prefer to work as a post-doctoral/research associate throughout ones whole (at least upto 40 years) career including several institutions and in any country ?

or, simply

How long can a researcher remain as a post-doctoral/research associate in several institutions and several countries, in algebraic number theory, in their career ?

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    If you are more than 6 years past your degree, I can’t hire you as a postdoc. But that is just one institution. Perhaps you should look to research labs or industry rather than academia.
    – Jon Custer
    Sep 22, 2021 at 14:18
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    I think that the differences between different countries or even institutions are really large in this context. Do you want to specify a locale?
    – Christian
    Sep 22, 2021 at 14:19
  • @Christian, I didn't get you. But I meant I am ready to work any country not just my home country. For example, after working 1/2 years in some institution, I can go to any country for new appointment as post-doc/research associate. My question is-how long can one continue such process ? For example, the comment of Jon Custer says, he won't take anyone if one got PhD 6 years ago.
    – learner
    Sep 22, 2021 at 14:29
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    @MAS I know of institutions which do not have such requirements but might not be able to give you a temporary contract more than once. Some countries like Germany have an overall time limit for temporary positions. So, I do not think that it is possible to give a reasonable answer which goes beyond "it depends".
    – Christian
    Sep 22, 2021 at 14:34
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    @MAS I'm not sure that there is really a "crisis" in the academic job market; "crisis" implies something restricted to some moment in time. Rather, there are simply fewer long-term academic jobs than there are people trained with a PhD. This isn't particularly new, and is certainly not new since the time you started your PhD.
    – Bryan Krause
    Sep 22, 2021 at 16:27

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