I'm a fourth year mathematics postdoc and I am looking at tenure-track jobs this year. I see some jobs that have a targeted research area but often have a caveat sentence along the lines of "Exceptional candidates from other areas may also be considered."
I am trying to decide if putting my file in there will cloud their applicant pool (since I am in a related field but not in the advertised discipline). What do caveat sentences like this mean? What does "exceptional candidate" mean? Should I apply?