I will be starting a math PhD program in the Fall with hopes of working with a professor who graduated recently (between 4 and 6 years ago). This professor is working in my desired field, but I'm not so sure how established he/she is. Their previous advisor is very famous in this field of math. This professor has < 11 publications so far and is assistant professor (the university is ranked in the 70's on US News).
I would like to work in academia after my PhD. Am I risking a lot by working under this professor? Is there a way to see how well-established or well-known this professor is in his/her field? I have read a couple of their papers, but I don't know how to gauge the caliber of the research.
I should also say that there is another professor at this university who has been around longer, and is doing research in my "2nd choice" area. There's a third professor who is well-established in his field (I think), but whose research is more general and classical with little connection to my desired field.