I'd be much happier talking about why and where maths is important in computing, than this career path thing. I did an undergraduate degree, then a masters degree, then a PhD, then I moved about a lot doing stuff to do with proof I've no time to explain to you, sounds unbelievably uninteresting to my ears. It's not like the qualifications you need to get into academia are particularly mysterious (although what they involve may be).

I think maybe I should throw out a lot of what I've ostensibly been asked for and focus on typical day and maths in (computer) science type stuff.