Difference between revisions of "User:Vywang"

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(Things: added some links and more on math and education (and philosophy behind them))
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Hello! I'm Victor, a sophomore transfer from 4W.
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Hello! I'm Victor, a sophomore transfer from 4W. I'll try to leave my door open when I'm free to talk or do whatever.
  
I have an MIT webpage [http://web.mit.edu/vywang/www/ here] with some standard info (including classes at the bottom, with some commentary).
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I think I will drop unfiltered thoughts on life and such here. I have a slightly less unfiltered MIT webpage [http://web.mit.edu/vywang/www/ here] with some standard info (including classes at the bottom, with some commentary).
  
 
==Things==
 
==Things==
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* Maths, blogging, MO/MSE/MESE/AoPS (might add more later): here are some unpolished notes for the classes I'm taking this semester... 18.103 ([https://www.sharelatex.com/project/54079c2eebf2980f305c6eeb Fourier analysis, Larry Guth]), 18.785 ([https://www.sharelatex.com/project/54079c9cebf2980f305c6ef2 Number theory, Bjorn Poonen]), 18.715 ([https://www.sharelatex.com/project/54079c16ebf2980f305c6ee5 Representation theory, Pavel Etingof]), 18.705 ([https://www.sharelatex.com/project/54079c05ebf2980f305c6ee2 Commutative algebra, Yifeng Liu]), 18.901 ([https://www.sharelatex.com/project/54079c22ebf2980f305c6ee8 Topology, Jim Munkres]). Also 18.112 ([https://www.sharelatex.com/project/53dfd9d88ca615b04693936c Complex analysis] and [https://docs.google.com/document/d/1YCwWf-TgGk2QGYES9ZXyV8DaaVK1tvmifxtR3ZHgIvU/edit?usp=sharing Google Docs ramblings]), from a bit of self-study over the summer.
 
* Maths, blogging, MO/MSE/MESE/AoPS (might add more later): here are some unpolished notes for the classes I'm taking this semester... 18.103 ([https://www.sharelatex.com/project/54079c2eebf2980f305c6eeb Fourier analysis, Larry Guth]), 18.785 ([https://www.sharelatex.com/project/54079c9cebf2980f305c6ef2 Number theory, Bjorn Poonen]), 18.715 ([https://www.sharelatex.com/project/54079c16ebf2980f305c6ee5 Representation theory, Pavel Etingof]), 18.705 ([https://www.sharelatex.com/project/54079c05ebf2980f305c6ee2 Commutative algebra, Yifeng Liu]), 18.901 ([https://www.sharelatex.com/project/54079c22ebf2980f305c6ee8 Topology, Jim Munkres]). Also 18.112 ([https://www.sharelatex.com/project/53dfd9d88ca615b04693936c Complex analysis] and [https://docs.google.com/document/d/1YCwWf-TgGk2QGYES9ZXyV8DaaVK1tvmifxtR3ZHgIvU/edit?usp=sharing Google Docs ramblings]), from a bit of self-study over the summer.
 
**For 18.715/705/901 I will probably only add stuff on the big picture or intuition/story/motivation not covered well/specifically in the class texts (which you can access on the course websites via "co/18.xxx" at MIT, and "course.mit.edu/18.xxx" elsewhere.) A lot of my notes are also in Google Docs, which I plan to integrate into more usable format later on (for instance lots of my 18.112 ramblings from the summer).
 
**For 18.715/705/901 I will probably only add stuff on the big picture or intuition/story/motivation not covered well/specifically in the class texts (which you can access on the course websites via "co/18.xxx" at MIT, and "course.mit.edu/18.xxx" elsewhere.) A lot of my notes are also in Google Docs, which I plan to integrate into more usable format later on (for instance lots of my 18.112 ramblings from the summer).
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**Speaking of the big picture and compression, I might try to make a concept/mind/road map for some of these things at some point, in the same vein as what I've done so far for Expii.
 
**Almost everything else I've written in a desktop folder friendly format (basically anything electronic and not on a forum like AoPS) can be found in the Dropbox link [http://vywang.wordpress.com/compilation-of-helpful-books-links-resources-etc/ here].
 
**Almost everything else I've written in a desktop folder friendly format (basically anything electronic and not on a forum like AoPS) can be found in the Dropbox link [http://vywang.wordpress.com/compilation-of-helpful-books-links-resources-etc/ here].
  

Revision as of 23:20, 9 September 2014

Victor Wang
Room M310
Year 2017
Course Mathematics


Hello! I'm Victor, a sophomore transfer from 4W. I'll try to leave my door open when I'm free to talk or do whatever.

I think I will drop unfiltered thoughts on life and such here. I have a slightly less unfiltered MIT webpage here with some standard info (including classes at the bottom, with some commentary).

Things

  • Social stuffs (might add more later). But I think it would be healthy for me to improve both generally and when talking to people with fairly close interests (e.g. currently math, education, and occasionally real life (!), although the names of these topics probably don't connote much about why or how I think/care about them).
  • Education/Expii, openness, story/context, empathy, crowd-sourcing: I like motivating things (so far mostly in math), probably because I enjoy stories (who doesn't?). This philosophy (closely tied with empathy), probably more than anything else, drives all the teaching (and learning, both on purpose and accidentally from teaching!) I've ever done at any level (from Expii to school math club to AoPS posts to MOP classes/interactions to random gchats/conversations with friends at MIT and elsewhere).
  • Maths, blogging, MO/MSE/MESE/AoPS (might add more later): here are some unpolished notes for the classes I'm taking this semester... 18.103 (Fourier analysis, Larry Guth), 18.785 (Number theory, Bjorn Poonen), 18.715 (Representation theory, Pavel Etingof), 18.705 (Commutative algebra, Yifeng Liu), 18.901 (Topology, Jim Munkres). Also 18.112 (Complex analysis and Google Docs ramblings), from a bit of self-study over the summer.
    • For 18.715/705/901 I will probably only add stuff on the big picture or intuition/story/motivation not covered well/specifically in the class texts (which you can access on the course websites via "co/18.xxx" at MIT, and "course.mit.edu/18.xxx" elsewhere.) A lot of my notes are also in Google Docs, which I plan to integrate into more usable format later on (for instance lots of my 18.112 ramblings from the summer).
    • Speaking of the big picture and compression, I might try to make a concept/mind/road map for some of these things at some point, in the same vein as what I've done so far for Expii.
    • Almost everything else I've written in a desktop folder friendly format (basically anything electronic and not on a forum like AoPS) can be found in the Dropbox link here.
  • Music: ~year-long (and counting) hiatus from piano, quit violin in high school, 21M.301 (Fall 2014). (might add more later)
  • Exercise/sports: tennis, badminton (took some gym classes), running, lifting. (might add more later)
  • Cooking: laziness. (might add more later)

Philosophy

  • I think life, at least in the long run, is funny because once AI inevitably takes over the universe, even if all the friendly AI initiatives succeed, AI will in principle outpace humanity in every possible interesting aspect. (Cf. humans vs. other animals: but do the lesser beasts consciously realize their lack of souls and opposable thumbs, as we would recognize our inferiority to AI?) Someone once suggested to me that humanities will still remain (even though everything else is doomed), perhaps almost by definition, but I think this could only possibly hold in the sense of the AI not actually "caring" about humanities (rather than "being worse at" humanities).
  • Somehow the previous point, despite being extremely boring and stupid, is actually enlightening to me, because it says somehow, at least from the selfish/self-important human lens, that constant terms matter, not just higher-order terms (contrary to typical math philosophizing...). For example, I think a lot of people talk about how helping a few gifted students maximize their potential much outweighs the potential benefit of helping many "normal" students, but... (Francis Su explains this, and much else on the topic of teaching, much better.) More broadly, I think there's very little reason to take life (esp. stuff like overly-critical/non-obvious suggestions---it's so easy to "fake-justify" almost anything) seriously, except in improving the world to the point where everyone else can take life unseriously too...
  • Creativity, imagination, dreams, visions, inspiration, passion, hard work, but not at the cost of happiness (might add more later)
  • Openness, friendliness. Bureaucracy, unnecessarily unequal opportunities. (might add more later)

Boring stories

Sometimes I think good stories are the only inspiring things, both in math and real life. Here are some bad stories. Sorry that they are biased towards the math community.

  • At Yellowstone in July 2014, I tried this (I don't remember where I saw it originally) on my sister. It worked. I think she's using this example for some science class assignment.
  • In May 2014, I procrastinated on my final 24.900 essay long enough to miss the (volunteer-based) weekend-long USAMO 2014 grading at Le Meridien. The next day I ran into Po-Shen Loh (CMU) and his mathematical sibling Jacob Fox in the math building, and Po asked me why I missed grading. He's a fast talker so I didn't have to answer.
  • In August 2014, I got my wisdom teeth removed. Apparently my bottom wisdom teeth (at least the right bottom one) had 3 root canals or something, while most have 2. Also I believe the doctor said "uh-oh" at some point; perhaps this is related to the <math>3 > 2</math> (hmm, I'm impressed the greater than sign doesn't screw tags up). Also laughing gas is weird, but apparently by constricting/clenching legs and fists it seems to be easier to keep control.
  • Speaking of screwing tags up, at one point I found an issue in the HMMT problem database, and asked Travis: "Is there a way to use $<$ and $>$ (and other (html?) things I'm probably forgetting right now) without screwing things up half the time? I don't know if > and < are standard but I've used them elsewhere before (they don't work here)." The issue: "It turns out the problem was with '>' characters whose index in the string was a multiple of 3 (e.g., its the third character in "$a>b$"). It's fixed now, thanks for pointing it out!" "yeah... turns out 2012Travis didn't know what he was doing"
  • At MOP 2013, James Tao presented a terribl(y contrived) synthetic geometry solution, leading me to coin the term "unnecessarily synthetic", which failed to win the superlative "most unnecessary".
  • At MOP 2014, James Tao and everyone else presented terrible synthetic and non-synthetic solutions to every geometry problem, resulting in my deep depression as a frequent geometry problem grader. On the other hand, if you know me well enough, then you also know I thoroughly deserved to have to grade those terrible solutions, for what I did in high school...
  • At MOP 2014, there were "team contests" (this is not too important) with several rounds of (number of team) problems, with the problems "claimed" one by one from a fixed problem set. The rounds generally have increasing score weights (corresponding in principle to increasing difficulty), say 5, 7, and finally 9. Of course, it's rather difficult to order teams "fairly"---a math problem the students seem to care more about than the team contest problems themselves. So I asked if anyone actually cared about the team contest. Unfortunately, a couple raised their hands, so I set the scores for the rounds to 0, 0, 0.
  • (This was the first team contest. In the second, I instead set variable weights <math>A, B, C</math> at the beginning. This came in handy since at one point I didn't want to check whether a long computational solution worked, and just assigned <math>B = 0</math> for the corresponding round.)