I have a skype interview for a post-doc at a big research group with PI-A, who is the leader in his field and would be a great opportunity if I got the position.
At the same time, I have been in conversations with PI-B and PI-C about a co-mentored post-doc to work on a recently awarded grant. The work for the grant will be done in collaboration with PI-A. The grant describes a post-doctoral position for the laboratory of PI-A to do the work for the collaborative project under PI-A,B, and C.
My questions are:
Should I mention my conversations about the project in my interview with PI-A's group?
Should I mention to PI-B and C that I am interviewing for PI-A?