I’m Starting A Collection

i am! obsessed! with this book from the late ming dynasty about scams to watch out for (esp. if you are a traveling merchant). this guy is like, there ARE immortals who can survive without food but you WILL NOT encounter them because they live alone in the mountains and don't talk to anyone. if a monk comes to your house and claims to not need to eat, it's probably because he's secretly eating human fetuses, or something. eunuchs are invariably corrupt and the court system is useless. however, do NOT try to bribe anyone for a better SAT result for your idiot failson; this never works. nuns WILL try to seduce your wife into cheating on you. if your idiot failson does really badly on the SAT, make sure to have his father's remains buried somewhere with A+ fengshui; this is Guaranteed to work (unless your wife is cheating on you).

19 I 2023

this week is kinda crazy

I have a complex analysis test on saturday and the professor said that it will cover the entire semester. thank god I might get away with not knowing anything about analytic number theory lmao

I had troubles sleeping lately, it takes me about 3-4 hours to fall asleep every day. I sleep a lot during the day and it helps a bit but I still feel half-dead all the time. every time I fall asleep my brain can't shut up about some math problem

for the algebraic methods course we were supposed to state and prove the analogue of Baer criterion for sheaves of rings. I was the only person who claimed to have solved this, so I was sentenced to presenting my solution in front of everyone. the assertion holds and I thought I proved it but the professor said that the proof doesn't work, here is what I got:

he said that we cannot do this on stalks and we have to define a sheaf of ideals instead. when I was showing this I had a migraine so no brain power for me, I couldn't argue why I believe this to be fine. whenever two maps of sheaves agree on each stalk they are equal, so if we show that every extension on stalks is actually B → M on stalks, then doesn't that imply the extension is B → M on sheaves?? probably not, but I don't see where it fails and I'm so pissed that I was unable to ask about it when I was presenting, now it's too late and this shit keeps me up at night

I enjoy sheaf theory very much and I can't wait to have some time to read about schemes, I have a feeling that algebraic geometry and I are gonna be besties

during some interview Eisenbud said that when deciding which speciality to choose one should find a professor that they like and just do what that professor is doing lol. I feel this now that I talked some more to the guy who taught us commutative algebra. since my first year I was sure that I will do algebraic topology but maybe I will actually do AG, because that's what he's doing. is having one brain enough to do both?

anyway I'm glad that my interests fall into the category of fashionable stuff to do in math these days. my bachelor's thesis is likely going to be about simply-connected 4-dimensional manifolds, which is a hot research topic I guess. I won't work on any open problem because I'm just a stupid 3-year, not Perelman, but it will be a good opportunity to learn some of the stuff necessary to do research one day

imo euclidean geometry kinda sucks, but if we mean geometry in a more general sense then algebraic geometry is the one

I've decided to start a fight

anyways geometry sucks algebra best math

that sounds a bit like mystery flesh pit national park

I’m Christian and respect the order of creation as God intended it but I’m not gonna lie if I could take a massive vat of agar and grow an alive shopping mall made out of red blood and meat and feed it living human bodies to make it expand larger with more shops and amenities, Without hesitation, Without question I would do exactly that

Pick a point inside a triangle and drop perpendicular projections onto the sides. These define another triangle. Repeat, with the same point but within the new triangle. Do the same thing once more. The fourth triangle now has the same angles as the first one, although it’s much smaller and it’s rotated.

(I'm reblogging this for later to really look into all the amazing accounts I follow)

Let's get a new mathblr roll call going! There's an older version but it's got a decent number of inactive people on it so let's start fresh. Reblog and/or reply tagging yourself and any other good math accounts!

Math shitposters! Math academia aesthetic blogs! Math studyblrs! Unthemed blogs owned by people who happen to be math fans! CS, stats, physics and other math-adjacent dorks too if they like hanging out with the math crowd! I want them all!

I'm glad I never encoutered anyone with such serious mindset while I was studying programming because now I wouldn't have as much fun writing branchless things in python, which is completely useless in highlevel languages but I just can't resist

I feel like some people are too serious with learning how to program. “I gotta be the best in this and that and build this and that to impress this employer” blah blah, that kills the fun out of programming. I see a lot of people (bashing people on Twitter again and actually a few people on here too, oops) making programming such a serious topic and you can’t have fun in it. Besides the proper syntax, documentation, best practises whatever, people in the tech community have putting up “rules” about how you should program and what to learn and if you fall out of that, you get ridiculed for it. Literally making it less fun.

Someone said that there’s no point in learning jQuery because JavaScript alone can do all that jQuery can and more.

So? I’m still going to learn it for fun? I’m having a blast with SCSS and jQuery, I don’t care 🤷🏾‍♀️ and I’ll learn the other frameworks and libraries that suits me because I want to. I don’t care if the entire tech community stops using a technology - if it interests me, I’m still going to learn it~!

Also no hate or anything to that person who said that to me - I completely understand your POV on jQuery! 💗✨ When I first read comment, I was a bit down like “oh what’s the point then…” but slapped myself and was like “I’m not learning for them or anyone. This library is cool and I like it so I’m still gonna use it”

Moral of the story: just do you. Do what makes you happy, code what you happy. Don’t be so serious all the time and make stupid dumb programs or games or websites whatever. Have fun in such a hard subject!!!

22 VIII 2022

I will have to give a talk soon, in a few days I'll be attending a student conference. I decided to prepare something about my latest interest, which is knot theory. what makes it so cool for me is that the visual representations are super important here, but on top of that there is this huge abstract theory and active research going on

I decided to talk about the Seifert surfaces. this topic allows to turn my whole presentation into an art project

other than that I'm studying euclidean geometry and unfortunately it is not as fun as I thought it'd be

my drawings are pretty, ik. but there is almost no theory

I had a thought that working through a topic with a textbook is a bit like playing a game. doing something like rings and modules, the game has a rich plot (the theory), and quests (exercises) are there to allow me to find out more about the universum. whereas euclidean geometry has almost no plot, consists almost solely of quests. it's funny cause I never played any game aside from chess and mine sweeper

commutative algebra turned out to be very interesting, to my surprise. I was afraid that it would be boring and dry, but actually it feels good, especially when the constructions are motivated by algebraic geometry

commalg and AG answer the question from the first course in abstract algebra: why the fuck am I supposed to care about prime and maximal ideals?

oh and I became the president of the machine learning club. this is an honor but I'm understandably aftaid that I won't do well enough

I'm stressed about the amount of responsibilities, that's what I wanted to run away from by having the holiday. good thing is I gathered so many study resources for this year that I probably won't have to worry about it anytime soon, or at least I hope so

september

I decided to start posting monthly, I hope it will help me keep it regular during the semester, it may also bring more structure into my posts

I gave my talk at the conference, I was surprised with the engagement I received, people asked a lot of questions even after the lecture was over. it seemed to be very successful in a sense that so many people found the topic interesting

what I need to do the most in the next 3 weeks is learn the damn geometry. sometimes I take breaks to study algebraic tolology, I did that yesterday

you guys seem to enjoy homology so here is me computing the simplicial homology groups of the projective plane. I tried to take one of these aesthetic photos I sometimes see on other studyblrs but unfortunately this is the best I can do lmao

my idea for mainly reading and taking notes only when it's for something really complicated seems to be working. I focus especially on the problem-solving side of things, because as I learned the hard way, I need to learn the theory and problem-solving separately. what I found is that sitting down and genuinely trying to prove the theorems stated in the textbook is a good way to get a grasp of how the problems related to that topic are generally treated. sometimes making one's own proof is too difficult, well, no wonder, experienced mathematicians spend months trying to get the result, so why would I expect myself to do that in one sitting. then I try to put a lot of effort into reading the proof, so that later I can at least describe how it's done. I find this quite effective when it comes to learning a particular subject. I will never skip the proof again lmao

in a month I'll try to post about the main things I will have managed to do, what I learned, what I solved, and hopefully more art projects