I'm looking for an article, web site, book chapter, whatever, that I can share with some math graduate students so that they can read and learn a little about some of the different types of colleges and universities, from the perspective of a math professor. More specifically, a math grad student who is considering an option of becoming a math professor, but might not yet have a set idea on whether they want to emphasize research, teaching, undergraduate or graduate mentoring, or whatever, and might not have a good sense of the range of possibilities.
Some grad students are not familiar with any kind of university other than an R1, and just assume that with a math Ph.D., that's their career path. Or they might not know about differences between large and small schools, state schools and liberal arts schools, etc.
I don't need an article that would rank colleges (or types of college). I would love to have one that explains some of the different types of academic settings where a professor might find themselves, especially a math professor.
I am especially interested in the U.S., but I'm open to texts with a broader perspective (global, European, whatever). I'm especially interested in the perspective of mathematics, but I'm open to texts from the perspective of "generic" faculty or faculty in other areas. I'm not really interested in articles that help students pick which type of college they would like to go to (those are very easy to find, almost spammy).