I woke up 16 hours ago and spent almost every minute of the day juggling algebra stuff: I spent a bunch of time alternating between -modules and the algebraic geometry preliminaries I needed to understand that. Then, around 6:30pm, my brain sort of…went to sleep.
I took a break for dinner and decided I couldn’t just waste my time before bed, so I decided to spend some time solving some of Dr. Hatcher’s problems. I posted a couple new solutions here and here.
Now, it’s almost 1am. Unsurprisingly, I feel like I’ve gotten a second wind, so maybe I’ll try to do some more reading, or some more sorting through professors’ research, or some more algebraic topology problems, or some more….
"A good stock of examples, as large as possible, is indispensable for a thorough understanding of any concept, and when I want to learn something new, I make it my first job to build one." - Paul Halmos