I am currently at a Top-20 engineering school in the US. I am making great progress on my PhD and have an excellent relationship with my advisor.
My advisor is transferring to a Top-3 engineering school and wants to bring me.
I am concerned because I'm afraid that the Top-3 school will reject me (average undergrad GPA, crappy GRE, etc.). The good things I have are a fellowship with 3 more years of tenure, a high quality paper and a few talks.
Anyways, when advisors move does the new university just automatically accept students? I'm afraid that my bad undergrad GPA and GRE score will keep me from following my advisor and doing the research that I love.