So far this semester, I’ve had a bunch of exams (A’s on all of them), given two seminar talks (one “eh,” one worse than that), and I’ve made progress towards my advisor / candidacy situation. I still have more exams (blah), two more presentations (double blah), and some fellowship things to get done.
I’d like to say that in the midst of all this, I’ll stop by more, say more things, post more solutions, etc., but at the rate it’s going, I’ll likely not be back here until December something-er-other.
I hope this finds everyone well and that the holidays treat you and yours particularly special.
So today, I officially began the first day of my summer-long journey through research internship with Wolfram. I’m probably going to remain sparse on the details of what I’m actually doing there – though interested parties can find some information here – but suffice it to say that it’s going to be awesome.
It’s going to beawesome, once all the technical hindrances get worked out. And yes, as of now, there are many technical hindrances. But that’s neither here nor there.
In my journey towards the apex of mathematical paradise, I’m forever acquiring (and seeking to acquire) access to resources I wouldn’t have been able to access otherwise. As of now, I’ve been an employee for about seven hours (maybe six) and already, I’ve found a really really cool resource because of my tenure there:
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