I have received Ph.D. offers from my 3 Top choices (with funding). I had five top choices (with no order) but I am expecting a rejection from 4th and my 5th top choice has frankly told me that he is not going to accept any Ph.D. student (at least for this year).
Now I am thinking to make a decision between the three choices
Univ A: A "mid-ranked" Univ (Rank 8 - 15); New Professor, Very strong record considering his age. Excellent thesis at a top Univ. (Rank < 3). I am getting a new and exciting topic for my Ph.D. thesis, which hardly anyone else except this Prof. and his PI works on.
Univ B: A slightly "Lower-ranked" Univ (Rank > 25); Well established and very well-known Professor (H-index>80). Ph.D. topic: Relatively popular topic but less exciting than at Univ A. Good industry opportunities.
Univ C: A slightly "higher-ranked" Univ (Rank 4 - 8); Well established Professor (not as reputed as the Prof. in Univ B). Ph.D. topic: Relatively popular topic and almost same as that at Univ B but less exciting than at Univ A.
Which of the factors should I take into account if I aim to get a faculty position at a well-ranked (Rank < 15) US university or any other top Univ outside the US?
Assume roughly similar and above-80 percentile Ph.D. work (in terms of quality and number of papers).
Moreover, Will, I get any advantage (in the job market) if I choose Univ A as the supply of faculty with those skills is negligible? If I am able to clinch a Postdoc at an even higher ranked univ will that compensate for the "mid/Low rank" of Univ A, B?
Rank is based on my overall perception of the department (and not of any specific Research area).