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Things to keep in mind while looking for a Postdoc overseaoverseas

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Hello, I would like to receive some suggestions about what you think to be the best important things that should be kept in mind while looking for a postdoc position. I'm not considering (in this question) the opportunities one may have from direct knowledge, e.g. because they where were pointed out from your advisor or in any case about positions in some nearby university where you have some contact.

For instance while it is often not written explicitly, for most positions the candidate is expected to have taken personal contacts with one professor that may be interested, and set up a research project together. But this is certainly not the only matter, and I would like to hear some story from who has some experience in this kind of issues, also for what regards things which can vary a lot depending on the country (i did my Master and I am doing Ph.D. in Italy, with a short period in France).

To make the question more focused, i'm mostly interested in the scenario of someone working in pure mathematics (e.g. number theory) making application from Europe to some university in North America, or possibly also in Asia.

(EDITED as suggested by quid, making the question CW, and more focused and about data rather than about advice).

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Attitude Things to keep in mind while looking for a Postdoc oversea

Hello, I would like to receive some advice suggestions about what you think to be the best behavior important things that should be kept in mind while looking for a postdoc position. I'm not considering (in this question) the opportunities one may have from direct knowledge, e.g. because they where pointed out from your advisor or in any case about positions in some nearby university where you have some contact.

What i'm trying to understand is up to which extent it may be useful making applications for a position in a completely foreign university (also possibly in a slightly different topic), and what could be expected from such an application to be taken seriously.

For instance while it is often not written explicitly, for most positions the candidate is expected to have taken personal contacts with one professor that may be interested, and set up a research project together. But this is certainly not the only matter, an and I would like to hear some advice story from who has some experience in this king kind of issues, also for what regards things which can vary a lot depending on the country (i did my Master and I am doing Ph.D. in Italy, with a short period in France).It would also be of interest collecting

To make the things which in some countries an not regarded at allquestion more focused, while i'm mostly interested in others are usually taken for granted the scenario of someone working in pure mathematics (e.g. in my country it is easily possible number theory) making application from Europe to end the Ph.Dsome university in North America, or possibly also in Asia.with no teaching experience)

(EDITED as suggested by quid, making the question CW, and more focused and about data rather than about advice).

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