suppose that you have just graduated with a PhD. Imagine that you could sell the degree and knowledge, deleting it all from your memory save for the knowledge that you once had it, and copying it to someone else’s brain. Would you sell? How much would it take?
Would I see the degree? In a heartbeat. The knowledge? Nope.
In my case, the stuff I learned for my degree gives me meaning and purpose in life. Without it I don't know what I'd do. Maybe sit and home and read books all day.
How depressing.
Do you actually do motivic cohomology!? I'm working in invariant theory.
Ahahaha. I wish. I had this prof in school who was trained as a mathematician (although his formal work these days is applying algebraic geometry to machine learning problems) and he knew I liked math and wanted to explore further and so we had long chats about different areas of math but almost always coming back to algebraic geometry because that was his first love in a sense.
So one day I was asking him about whether there is an lebesque integral equivalent for functional spaces and he told me about this field called motivic integration and motivic cohomology and basically I converted to the algebro - geometry school of thought.
It was just really a whole new way of looking at math.
Unfortunately, or fortunately, my forays these days are of a tamer and more pragmatic nature although I do wish to go back to studying math in my free time after finishing up my degree.