I'm just finishing my PhD and have two options for postdocs: either with one of my current collaborators here or with someone I haven't worked with at a similar level university (both good R1s). If I were to stay here I'm certain I would be more productive and publish more, and helped in the future as the would-be mentor is much better known. However, I've also done my undergrad here and have no research experience anywhere else, and fear that staying could look bad when I apply for faculty jobs (i.e., that I never left to develop my own ideas).
Would staying be negatively viewed by search committees? Thanks!