I've recently been accepted into the Master's programs at Cambridge, UChicago and Columbia for Applied Math. I'm interested in pursuing a PhD post-graduation. I'm having a hard time comparing the strengths and weaknesses of the various programs that I've been accepted into.
Could you please discuss your experience if you've been a part of any of the above programs? Also, what is the process of going from MS to PhD student within the same department? Would I need to reapply?
Thanks