– So What Do You Do In Math?

7 III 2023

it's the second week of the semester and I must say that it's easier than I predicted

statistical data analysis is boring but easy, algebra 2 is easy but probably interesting, so is differential geometry

algebraic topology was funny because ⅓ of the group completed the algebraic methods course, so at first we told the professor to skip half of the lecture (we all know the required part of category theory) and then with every new piece of information he would say "ok maybe this will be the first thing today that you don't know", to which we would reply "naaah we've seen this" lmao. but the course overall will be fun and maybe it's even better that the level of difficulty won't be as high as I though, that would leave more time for my other stuff

the tutorial part of number theory was scary, because the professor wanted us to work in pairs. my autistic ass hates working in groups and the noise in the room was unbearable (everyone was talking about the exercises we were given to solve), so I was on the verge of a meltdown after 30 minutes of this despite ANC headphones. next time I will work by myself from the start. maybe without the requirement of communication it won't be as bad. the course itself will be easy, when it comes to the material. I know nothing about number theory, so the novelty will make it more enjoyable. a few people said that they would prefer the tutorial in the standard form, maybe I won't have to worry about surviving it if there are enough people who want to change it

my birthday is tomorrow and as a gift my parents gave me enough money to buy an ipad, I was saving for it since november. for a few days now I've been testing different apps for note taking, pdf readers and other tools useful for studying. I must say, this is a game changer, I absolutely love it

taking notes itself is less comfortable than on an e-ink tablet, which gives very paperlike experience, but it's better than traditional ones. the upside is that I can use different colors and the whole process is less rigid than on an e-ink

two apps that seem the best for now are MarginNote 3 and GoodNotes

the first one is good for studying something from multiple sources. the app allows to open many pdfs, take pieces from them and then arrange them in a mindmap. it's possible to add handwritten notes, typed notes, photos and probably more that I don't know yet. all of this seems to be particularly useful when studying for exams or in other situations when it's necessary to review a huge chunk of material

the second app is for regular handwritten notes. it doesn't have any special advantages other than I just like the interface lol what I like about taking notes on ipad is that I can take photos and insert them directly into the notebook, which I can't do on the e-ink. it's great for lectures and classes because I don't usually write everything down (otherwise I can't listen, too busy with writing) and even if I do, I don't trust myself with it so I take photos anyway. being able to merge the photos with notes reduces chaos

oh god this is going to be a long post! other news from life is that yesterday I had a meeting with my thesis advisor and we finally picked a topic. some time ago he sent me a paper to try and said, very mysteriously, to let him know if it's not too hard before he reveals more details about his idea. the paper is about symmetric bilinear forms on finite abelian groups, pure algebra, and I was supposed to write about algebraic topology, so I tried to search where this topics comes up, but didn't find anything. it turns out that it's used to define some knot invariant, which I would use to write about the classification of singularities of algebraic curves. in the meantime my advisor had another idea, which is an open problem in knot theory. we decided to try the second one, because there is less theory to learn before I could start writing the paper

to summarize what I'm about to do: there is a knot invariant called Jones polynomial, which then inspires a construction of a certain R-module on tangles and the question asks whether that module is free, if so, what is its rank. now I'm reading the book he gave me to learn the basics and I can't wait till I start working on the problem

the alphabet is like, there's the "a" region (abc...), for just, things, there's the "f" region (fgh..), for functions, there's the "i" region (ijk...), for indices, there's the "n" region (nm...), for integers, and the "p" region (pq...), for integers that are prime, there's the "t" region (tsr...), for time and progression and other axes that aren't the usual ones, and then there's the "u" region (uv...), for like, i guess open sets and differentiable functions and the such i guess, and then finally there's the "x" region (xyzw...) for just, variables that are more variable-y

there's also o and l but you shouldn't use those

welcome ✨

i'm a math student, currently persuing master's degree. this semester I'm taking courses on complex manifolds, category theory, equivariant cohomology and representation theory

my bachelor's thesis was about my partial result in the knot/link theory. right now I'm finishing that proof and hoping to publish it when (if?) I'm done. my interests include algebraic and geometric topology and the goal for this year is to get to know some algebraic geometry

I post updates of how I'm doing, photos of my ugly notes and sometimes share some study methods that proved to be useful to me

oh and math is my special interest, I take it way too seriously lol

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my posts with study tips:

tips for studying math

tips for studying math part 2: you have an exam but the course is boring

Lagrange Markipliers or something idk I forgot all my multivariable calc.

I finally tried mindmaps to keep track of the 200 kinds of morphisms and another 100 kinds of sheaves (that one is work in progress)

I kinda like the result and I hope to finally use my notes in the future

refseek.com

www.worldcat.org/

link.springer.com

http://bioline.org.br/

repec.org

science.gov

pdfdrive.com

this is a strawman. the distinction into the inattentive presentation and the hyperactive presentation is useful, because stimulant-based medication usually helps with the first kind of symptoms and the medication like atomoxetine will help mostly with the hyperactive symptoms such as emotional dysregulation or restlessness

the picture that made OP so angry was probably made by someone who has nothing to do with being trained in psychology, because there is something called combined presentation, which is what it sounds like: symptoms that are both from the inattentive and the hyperactive presentation

the term inattentive adhd makes sense because the deficits in the brain that cause the inattentive symptoms are similar to those with the hyperactive presentation, that's why they changed the name. it is literally the same disorder, just different presentations. besides, "inattentive" is just a name, every psychologist or psychiatrist who specializes in adhd knows that the problems come from regulating and directing attention

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I started replying before finishing reading the post and oh my god it gets even better? this is a joke right? please tell me that I started replying in a serious manner to a post that is supposed to be a joke because the other option is that someone seriously wrote something so stupid and believes it, and I don't want this to be true

okay. this fucking picture made me so mad i went on a 15 minute rant to my sister while she was trying to read her book.

so ive been looking at a lot of pictures of posts on pinterest because thats just where i spend most of my time. most of these posts are on the topic of adhd. ive never been properly diagnosed, but reading through these posts has made me feel so welcomed and understood (more than my parents have made me feel, pretending that this is "all just a phase that ill get over soon because pretending to have adhd is just the thing right now") that i realized ON MY OWN that "hey maybe i do have adhd." well.

i found this post while scrolling through pinterest, and it really sparked my anger.

i have a friend who was diagnosed with add before it was considered an "outdated" term and scrapped because apparently ALL FUCKING FORMS OF NEURODIVERGENCY THAT ARENT AUTISM ARE JUST "ADHD".

i read this post and it was what sparked my anger and my 15 minute rant to my sister. people who get degrees in this stuff, or counselors at schools, never really know what youre going through. all they know is that youre having some problems and they need to be solved.

which brings me back to this picture. if you look up "is add still a thing" on google, this is the first picture to pop up. and just seeing the visual aids they put with it makes me furious enough to throw something or someone out a fifth story window. the little girl is fucking SMILING while thinking about the most common shit people think us neurodivergent folks think when distracted. first off, no. false. we dont just think of video games and candy. we think of the randomest shit possible, like how long can i sit here without blinking or what kind of funny shit can i draw on this one sheet of paper.

and ALSO.

you cant just categorize adhd as TWO SEPARATE THINGS and call it good. we dont fit under two umbrellas. theres too many of us. we each have our own figurative umbrellas that only we ourselves can fit under, no one else. thats the problem with neurotypicals. they fit the typical stereotype for humans: we try to understand everything by putting it in a box. those lists of "symptoms"? i match every single one. on both sides. so ha. take that SCIENTISTS. what am i? some kind of freak of nature because i dont fit under just ONE of your precious categories?

i also looked up what "inattentive" means and it made me angrier. according to oxford languages, "inattentive" means "not paying attention to something", which doesnt seem too bad, right? it fits some people perfectly with their symptoms, right? but its not the definition that bugs me. its the example sentence thats used. "a particularly dull and inattentive student". basically saying that if you dont pay attention well to something, youre dull and boring.

im sorry, what? sometimes i have trouble paying attention, sure, but you ask any of my friends and they can agree i am NOT boring in any way, shape, or form. non of them would describe me as "dull". inattentive? sure, but not dull. so to call it "inattentive" adhd, instead of just add, is stupid! my friend with ADD (not fucking adhd, stupid scientists) is one of the funniest, most entertaining people ive ever met. shes an incredible artist, super smart, and knows how to make anyone laugh. does that sound dull to you? does she have problems focusing sometimes? yes. does she struggle with doing something sometimes? yes. but dont the rest of us?

my point is, when i see things like this, it pisses me off. like, unless all of the scientists who agreed "add" is an outdated term have it themselves, i refuse to believe its outdated and i will continue to say that my friend has it. she was literally diagnosed by the doctor telling her "you have attention deficit and hyperactivity disorder without the hyperactivity." THATS JUST FUCKING ATTENTION DEFICIT DISORDER YOU DUMBASS!!!

anyway, i hope im not the only one who feels this way. i just felt it necessary to get this out there. maybe someday, people wont be so dumb and single minded. in my opinion, neurodivergent people are superior in intellect and creativity, but i guess until someone like that takes over the world and dropkicks neurotypicals into the stratosphere, we'll never know.

Thinking about how when my oldest brother took Japanese classes his professor was like your pronunciation is really good 😊 but you need to watch movies that aren't about the Yakuza because you sound like a criminal

I can relate to your undergrad experience! And I think it might be a good sign looking forward, because you've developed insights and ways of thinking and motivation to go beyond undergrad and seek out new spaces where you can do your own work. That's by no means common, I know many fellow undergrads who are a) as mystified when they retake a class as they were the first time round, and b) feel accomplished enough to have passed eg Introductory Analysis and have no drive to look onward. You seem to know very much what you're good at, what interests you and which areas you'd like to grow in. I'd argue that undergrad studies, which give you an introduction and overview of the field and teach basic reasoning skills while not expecting any really original problem solving aren't exactly made for people like you. Talking to your professors or Masters or even PhD students is a really good idea!

thank you for your input, it brings a huge relief!

I already talked to two of my professors and they said that there is nothing to worry about. my advisor said that in his opinion learning new concepts while working on some problem is the right way to learn and from his experience this is way more rewarding than learning for school or even "just to learn". he also said that if I'm interested in working more on open stuff then he will let me know when he finds some questions I could ponder. the other professor said that it's a good thing, because from his experience a lot of people tend to get discouraged when there is no way of knowing how long solving the problem will take or how much new theory is needed, and I seem to be the other way around, so the work I'll be doing in the future probably won't scare me as much

I talked to some of my friends who are about to finish undergrad like me, and there are people who feel the same way as I do. coincidentally, those are the people who had the same situation as mine, that is, they were lucky enough to find an advisor who gave them an open question to work on. other people I talked to seem to be fairly content with studying for the classes and completing homework assignments, and they didn't get to work on something open yet, so maybe it has something to do with getting the taste of the good stuff haha

I can see now that the future looks good and I'm motivated to go exploring. I am aware that I have so much more to learn, but having got the reassurance that I'm probably doing it right, it doesn't sound as scary anymore

Theory Time

The reason endermen don’t like it when you look at them is because they communicate telepathically with one another by locking eyes! Humans are absolutely not designed to do this so when we look at them we are accidentally projecting all of our thoughts into them at the same time and it hurts :(