Me When I Need To Rotate 720 Degrees To Return To My Original State

30 I 2023

in a fortnight I will have two oral exams and one problem-based exam

the first oral will be for complex analysis and we are supposed to choose three topics from which the professor will pick one and we'll have a chat. I chose meromorphic functions, Weierstrass function and modular function. I have already received my final score from homeworks, which is 73%. combined with 74% and 100% from tests, I am aiming for the top grade

the rest of exams will be for algebraic methods. a friend who already took this course told me that when someone is about to get a passing grade, they get general questions and the professor doesn't demand details of proofs. when I asked him if we are supposed to know the proofs in full detail or if it suffices to just be familiar with the sketch, he told me that if I will only know the sketch I will sit there until I fill in all the details. lmao that sounds like he wants me to get a top grade. ok challenge accepted

so it seems like I have a chance to ace everything. if I achieve this and do it again next semester I can apply for a scholarship. studying for the sole purpose of getting good grades doesn't feel right, the grades should come as a side effect of learning the material. buuut if I can get paid for studying then I might want to try harder, I enjoy being unpoor

the next two weeks will be spent mostly grinding for the algebraic methods exams, this is what I'm doing today

req'd by @strictly-script

sure we won't?

text: Abelian't

hey guys quick question

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

2-3 VIII 2021

it's 4am currently, i woke up after a 5hour nap and i don't plan to sleep anymore, time for topo

sleep: weird but going in the right direction i guess

concentration: fine

phone time: good

i am currently dragging myself through some of the most important theorems in multivar calculus i believe. inverse function theorem, implicit function theorem, diffeomorphisms and stuff. the proofs are quite simple but very long hence exhausting, my least fav kind of proofs. right now i'm doing topo

tomorrow (or rather today) i'm planning to do more topo and possibly finish my notes from that calculus chapter

Weaving Stereographic Projection

I made a stereographic projection by weaving paper strips!

Here's a Julia package for the computation of the shapes of the paper strips.

GitHub

GitHub - hyrodium/ElasticSurfaceEmbedding.jl: The weaving paper strips: shape optimization by geometric elasticity

The weaving paper strips: shape optimization by geometric elasticity - GitHub - hyrodium/ElasticSurfaceEmbedding.jl: The weaving paper strip

Japanese blog post about this: https://note.com/hyrodium/n/n7b7cf03a7d91

Energy Management

A human-based organization method

click on images for better resolution; images also available here (link to google drive)

Other posts that may be of interest:

Getting stuff done: How to deal with a lack of motivation

Flexible time-blocking: A more breathable way to get things done

The ABCDE Method

Quatrefoil Knot

I think "high value person" can be interpreted as "someone who is liked by everyone and perfectly adheres to social norms" but also as "someone who wants to find their core values and to this end tries many different approaches" and many other things. some of the things listed are pretty good, such as "take care of themselves" or "doesn't equate their worth to sex", some are unnecessary: "perfected first impressions" or "ALWAYS well-dressed". naah, who cares lol

the thing with self-improvement or other forms of conscious existing (I just invented this term, by that I mean something like chosing which parts of oneself to keep and which to change) is that one must start somewhere. it's nice, in general, to have social relationships, sex life or hobbies and I see this list as a guideline for increasing the probability of achieving those and other things in a certain way

in my opinion it's really important to keep in check with oneself, ask if the cost of being likeable and elegant is worth it. some people derive pleasure from wearing nice clothes and make-up, I am not one of them and for me that would be too much of a sacrifice. I guess most people would hate to have my lifestyle: I basically do math all day. it is my decision to so, it's fun, and I hate it when someone assumes that it's bad just because they wouldn't enjoy it

hence I see this controversial list as goals of someone who genuinely wants to be perfect. and yeah I do think that most of those things are completely unnecessary, I don't consider this set of characteristics as a "high value person" but maybe some people do. a part of self-improvement for me was realizing that I don't care about most things and this post reminded me that there might exist people who care about everything. have they not yet realized that they actually don't care? idk, maybe they do care

but yeah if someone came to me and said that this list objectively defines a high value person then I would laugh lol I will respect everyone's values if they respect mine

“Mathematics is a giant room, full of toys—some of which have very long instruction manuals.”

— Jacob Lurie