u/Fabulous-Egg-

I had an initial interview for a potential postdoc position with a professor from an ivy league school last Monday. It was a very positive interview, and I expressed my interest to continue with the next interview (with the full lab) on the Tuesday. They mentioned that they respond very quickly (and in my experience they have). They also mentioned that they have a busy month this month. However, it's been 6 days now and I haven't heard any response back. Is it appropriate, and if so when, to email them a follow-up/reminder about this? TIA!

I have a very important postdoc interview in a week over zoom. I am using this time to dive deep into the PI's research, but realistically, I don't think it's fair to expect a prospective student to be an expert on a subject in the first interview. With that said, is it okay to refer to my notes about his research that I take down while learning about it? My feeling is that it can look good because I've 'done my research' and show that I care, but I don't know how that could be viewed from their perspective.

Thanks!

EDIT: Thanks everyone for the comments. This certainly made things much simpler to prepare for and saved me time and lots of headaches!