I have some questions on the prospects to get a tt Assistant Professor position in math at a smaller university or liberal arts college in the US as a foreigner.
I am from a european country and on the job market, primarily looking for tt Assistant Professor positions in pure math at research universities. Since the job market is very tough in pure math, I am considering to apply more broadly, e.g. to some reputed liberal art colleges or some lesser known universities which might not offer a PhD program in math. There are many job announcements from such places on mathjobs or other sources.
I am wondering about the prospects of such applications.
What about paperwork? I would require an H1B or a Green Card in order to work in the US. I guess it is unlikely that smaller universities would sponsor an H1B or have some immigration specialists to take care of such an application. Does this mean that they are unlikely to consider applications from foreigners based on such reasons?
What about academic fit? While I have completed a Postdoc with teaching duties (in particular undergraduate Calculus) at a well-known university in the US and know the system, I am less familiar with it than people who studied in the US. They could also think that they are only 2nd choice for me.
Is there any particular advice that you could give if I decide to apply nonetheless? One lesson that I learned from this page seems to be that cover letters should be much more detailed than the usual perfunctory cover letter that is used for research universities.
All in all, I am wondering whether it is reasonable to try my luck, especially considering that many of these institutions do not use mathjobs for applications, and applications therefore take much more time.