I no longer understand my PhD dissertation (and what it Means For Mathematics Education)

Junaid Mubeen:

Earlier this week I read through my PhD dissertation. My research was in an area of Pure Mathematics called Functional Analysis which, in short, meant it was self-motivated and void of tangible real-world application. I submitted the thesis in 2011 and after a successful ‘defense’ made a swift exit from research mathematics.

I was curious to see how much of the dissertation I can still grasp, five years after the fact. I figured it couldn’t hurt my ego if I refreshed my mind with past mathematical glories.