Last week was the first of the big 3-manifolds events at IAS and overall, it was spectacular. The highlight, without a doubt, was Dave Gabai being amazing during the last talk of the week, but there were some other great moments too…
…and some not-so-great ones, including some woman whom I don’t know interrupting Genevieve Walsh‘s talk no fewer than 10 times to say random rude things about how it was not-good (which was untrue), unoriginal (only true in the sense that Dr. Walsh spent some time talking about general background that she didn’t claim to have invented), and a waste of time. I was pretty blown away that such things happened at pure math talks, but I guess pure math people are people too and – at the end of the day – people just look for a way to disappoint and/or bring down other people.
I learned a lot, though, and I came away with a new direction for my own research, so that’s going to be the goal moving forward: To balance the somewhat-regular yearly 3-manifolds talks at IAS with the stuff I need to figure out to get my own stuff knocked out.
Oh, and plus side: I actually got a full week of salaried work done! YAY FOOD! But the downside is that I’m having to drop $2k on random car things (making our tires able to withstand rain and snow and making it so that our heat keeps hypothermia at bay), so…YAY CREDIT CARD DEBT! ::wink::
Alright, well I’m awake for some dumb reason so I guess I’ll…try to do something…constructive. Or something. Hah.
I’ve fallen into a bit of mathematical stagnancy since the first week or so of living here but after much ado, I’ve finally become regimented enough to start doing work and doing math and juggling other obligations, etc. etc.
What can I say? Moving is hard business!
Since falling off the mathematical (and career) wagon, I have managed to buy some new math books (uber sale; it’s my weakness) and to completely build a 95%-ish complete version of a new professional homepage which I hope to deploy within a week or so. As of a few days ago, I also managed to climb back on to the career (sans math) wagon, and as of today (well, yesterday; it’s 4:30am “tomorrow” for me right now), I also managed to do some low-key math with my BFF L. Hoping that pans out.
Later today, I’m going to head to IAS and spend the day doing math things and listening to postdocs talk about stuff I’ll likely never be mature enough to comprehend. Hoping this is day 1 of a lot of consecutive days of doing that and/or things like it. We’ll see.
Today is the fifth full day at our new place and things are finally starting to settle in. Until today, we’d been sleeping/sitting/otherwise living on the floor, for the most part. In particular:
A couple days ago, we got our Wifi connected so our internet access went from patchy and occasional to great and full-time.
After spending the first few days sleeping on the floor, we got a couple air mattresses on Monday. That came with some slight added comfort.
Today, our new couch came in. I can’t overstate how amazingly comfortable this fucking thing is, and believe me when I say: It’s completely changed my whole attitude to have a comfortable place to sit!
As a result of the added couch-induced comfort, I’m letting today be my first day transitioning to The Princeton Schedule of mathing all day and working (for a wage) at night. So far today, it’s been all 3-manifolds and foliations, particularly getting things I ought to already know typed into Mnemosyne so that I can make sure I know know them moving forward.
There’s so much math I should be better at; I’m really looking forward to using this year to bridge the gap from where I am to where I ought to be.
The last time I posted something meaningful here (not counting the 2014 year-in-review and the most recent claim of attempting necromancy), it was June 2014 and I was about to embark on a summer of traveling. Around that same time, my son was 21 months old, I was working part-time at Wolfram, and I was a pre-doctoral candidate whose academic situation had gone (apparently without being blogged about) from two doctoral advisors with two separate projects to a single advisor plus a second non-advisor faculty colleague.
Typing that out makes me realize how much has changed.
For those of you keeping score, it’s now August 2015, and 13 months after the last update, lots and lots of things have changed. For example, my son is now one month away from being three years old. There’s also a lot of professional stuff, too. Let’s go somewhat chronologically.
I passed my advanced topics exam (ATE) and became a doctoral candidate. My work was on Gabai’s colossal (first) work on Reebless foliations in 3-manifolds, and while I definitely learned more significant math than I’ve ever learned, I feel like there’s so much in that paper than I’m years away from understanding.
I flew up to Baltimore to interview for an NSA gig. I didn’t get chosen.
I went to the 40th annual spring lecture series at the University of Arkansas and had a complete blast. I ended up slipping on ice, busting my ankle up pretty badly, and having some travel woes near the end but when all was said and done, I met some cool people (Benson Farb, Allen Hatcher) and saw some really great talks. Oh, and great coffee!
I went to Rhode Island College and gave an invited lecture on limit sets and computer visualization. It was an honor and I couldn’t have hoped for a better first invited lecture experience.
I finished a pretty uneventful spring semester at FSU. Lots of work. Lots and lots of work.
Once summer (2015) rolled around, I got accepted to some pretty great things:
I was fortunate enough to be awarded a pair of scholarships from the FSU math department.
And now, here we are! It’s officially September 1 (1:07am now): That means Fall semester has started at FSU (which means I’m now a fourth year doctoral student; eek) and things are back in full swing. It never gets familiar, really, no matter how many times it happens. C’est la vie, I guess.
I’ve got a bunch of stuff going on, professionally:
I’m still trying to make progress on my dissertation research (3-manifolds and, eventually, foliations).
I’m studying Dirac operators / spin manifolds / hypercomplex structures / supermanifolds / miscellaneous things that seem to get more and more into the realm of theoretical physics as we progress. This is with my non-advisor faculty colleague.
I’m trying to get a small research project going with an undergraduate at FSU on topological quantum computing (maybe Microsoft will take interest?).
Non-professionally, things have also happened. I got pretty serious into working out for a bit; later, I lost track due to travels, though I’ve since made some pretty considerable body transformations due to a healthier diet. I’ve also tuned back my Wolfram hours to give me more time to do student things; I’ve upgraded my workstations (desktop and mobile); I’ve made the switch from Windows to Linux (full-time rather than as a hobby)…
…that may actually be about it!
So there! Now we’re caught up! That means that I can pick up next time with an actual update / piece of newness / whatever. And who knows – maybe there will even be some math thrown in here! gasp
So, to summarize the direction of my most recent mathematical endeavors: I woke up and decided that part of my aspiration was to become a geometric topologist, and I did that despite the fact that topology is (far and away) my worst subject.
That sounds precisely as terrible as it probably is.
I finally pried myself away from the overwhelming constancy that was Allen Hatcher’s book and began devoting some time to differential stuff. Don’t believe me? I even made pages full of differential stuff! See for yourself!
Anyway, I’m currently sifting through the terse mathematical jungle that is Kobayashi and Nomizu. I have other resources at my disposal (perhaps more than I can admit without feeling guilty of hoarding mathematics), but I wanted to give this a try since this original two volume set was a gift to me by Dr. So-Hsiang Chou, an applied mathematician who coincidentally is probably one of my all-time favorite academics I’ve met thus far.
Dr. Chou was full of valuable insight about his main research areas, the main research areas of pretty much anyone else, and just about anything you could possibly want to know about life. Sincerely, I love that guy. He had lots to say about my passion for differential stuff. He told me it was too hard and that I should find something easier to do my thesis on; he told me it was going to make me go insane; he also said, very objectively, that it’s extremely notation-heavy and that any resource less than an intro to an intro would be a hellish endeavor on just about any brain.
He was certainly right about the latter.
Anyway, at this pace, I’ll make it through Volume 1 of K & N by the time I’m 3,000 years old, so I plan on supplementing my perusing via perusing of other sources too; as that materializes, I’ll probably use the above-linked page to help there, as well.
That’s enough of a break for me. I’ve read through about 9 pages of K & N today – teX’d the high points of about five of them so far – and I definitely need to do more before calling it a night.
"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