IAmNot Sean Carroll, Alexei Filippenko, or Katie Mack, but IAmAn astrophysicist that works on galaxy formation and evolution, and a bit of cosmology. AMAA.
I defended my PhD nearly 5 years ago, and have been working as a research scientist since then. I lecture a little, and have a couple of PhD students.
This week, i'm working on central Australian time, so i'm going to go to bed soon. But i'll plan to spend my morning answering your questions, so i'll be back on line starting from when this post is about 10 hours old.
Edit 1. (23.45 CST) Okay, really going to bed now, having (i hope) sorted out proof. Talk to you in the morning.
Edit 2. (11.30 CST) I've got to go and do some stuff, but i'll come back in about three hours and answer whatever questions are left.