You've dove to 120 feet for advanced certification. You are a self described math nerd. You have no idea what your air consumption rate is or was or how to do calculations based on it. Seriously, did the idea cross your mind to ask the instructor something like...I trust you a lot, but" how do i know this dive is not going to kill me?"
Rules of thumb, rules of thirds blah blah... If it were me, i would be damn sure i know what my SAC rate is on an easy shallow dive before I consider going deep.
Also, and I don't want to sound overy critical, but since your Advanced training left you without the most basic knowedge of how to not run out of air... are you at all worried that your knowledge of other aspects of deep diving might be similarly deficient?
No - you're right. I should have asked and I didn't - and the more I think about it, the more I realize I have a lot to learn and get ingrained before I start doing more adventuresome things.