I am interested in how a Program Director would not be involved with the application of an applicant. I guess this coule potentially happen, especially if a program get thousands of applicants and a good buddy of the PD get weeded out without the PD's knowledge. I guess someone could go and call the PD directly and ask why they were not invited for an interview.
Once an applicant is interviewed (and quite likely ranked) I would assume that the PD would have a look at all the applications and interview everybody. Or no?
It is not possible for the PD to interview every applicant or even every interviewee for his/her program unless they interview very few applicants. This is the reason why it requires a huge coordination effort of faculty, administrative personnel and residents.
My residency program interviewed around 30-35 applicants per categorical position; this means between 120 and 150 interviewees; each interview day consisted of around 35 applicants, each having 4 interviews (3 faculty, 1 resident). It would be impossible for the PD to interview each and every one of these students. It would also be an impossible task to have the PD review the hundreds of applications, or even the hundreds of applications for those being interviewed. Imagine what it would be like if you have 40 residents per year, like some of the big IM programs.
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If a candidate was particularly special and we knew that they were *not* being interviewed by the PD, it was the job of the faculty or the resident meeting with this person to bring them to the PD or to make other arrangements for the PD to meet them and have a discussion.
I know this, not only from experience during the process, but from personal experience when the PD asked me if I could "hang around" a bit after the interview day and go for some coffee. I assume many programs work the same way, as it has been repeated at other programs and reported here.
The ranking session involves all the faculty and residents involved talking about each and every interviewee. If there were disagreements, it was rumored that the PD and the Chair settled them "behind closed doors". If there was no disagreement, it would not necessarily be the case that the PD felt the need to further review the application when the student had already been selected for interview, interviewed by several faculty members, met the residents and gotten the thumbs up for ranking.
This is why I say it isn't necessarily the case that the PD would be closely reviewing applications or interviewing all those invited. The scenario I imagine is that the OP applies to the program, with the letter from the PD, and faculty member interviewing him makes note that the student rotated there and has a good rec from the PD, and mentions this when ranking time comes up.