Touch Grassmannian

– so what do you do in math?

– algebraic topology, you?

– ugh I always hated algebra. I do probability theory

– ugh I was never any good at probablity theory

(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!

mathermatical notation explained

symbol        meaning

=                   equals

=/=                not equals

<                   left

>                   right

!                    LOUD NUMBER

~                   worm

π                  stonehenge

√                   right answer

x                   wrong answer

⋯                  soon…

∮                   what Exacrly the fuck

∝                   fish

∞                   fish with 2 heads

↯                    lightning

:⇔                 he Scream

12 XII 2022

I have a test at the end of this week so I am mostly grinding for that, kinda ignoring other things along the way, planning to catch up with them during the christmas break

the new update for my tablet's OS brought the option to insert pictures into the notes, so now I can paste the problem statements directly from the book. I am not sure if this is actually efficient but it surely looks better and the notes are more readable

(I can't vouch for the correctness of those tho lol I just started learning about the Rouché's theorem)

I have been trying to keep up with the material discussed in lectures on commutative algebra and agebraic methods. with each lecture there is a set of homework problems to solve and I predefined a standard for myself that this week it's alright if I don't do the homework because grinding for the test is more important

I made some pretty notes on valuation rings

during the break I need to study finite and integral ring maps and valuation rings for commutative algebra course; resolutions, derived functors and universal coefficients theorem for algebraic methods course. I feel pretty good about the test that's coming up. sure, you can never be too prepared but so far I've been able to solve a good part of the problems I tried, so I should be ok

I have a bet going on with a friend. We need a third opinion. Can one find the square root of 2 in pi? And pi in the root of 2

Gut instinct says no. But when you work with infinities, gut instinct is NOT proof. (And such a gut feeling could have easily been the dodgy dinner I cooked myself last night.)

However I cannot even provide a proof.

I have, however tried to give some insight in another post (it should be the one immediately below this one) to perhaps help/provoke a more concrete argument from someone else :)

30 VIII 2023

aight it's been a while, time for an update

recently I've been doing mostly algebraic geometry, my advisor gave me some stuff to read, so I'm working through that. the goal is to familiarize myself with hilbert schemes – the topic is advanced, so there are many prerequisites coming up when I'm trying to read the book, that's kinda annoying

we are planning for my thesis to be about a certain generalization of the hilbert scheme, so basically the question is "investigate this space" and I've been having second thoughts whether I'm up for the challenge. I'm just getting to know how all that stuff works, so it's quite overwhelming to see how much I need to learn before I can do anything on my own

nevertheless, I'm pushing through as I will have to learn all of that anyway

I am working on finishing the proof from my bsc thesis and honestly I'm kinda losing hope lmao it turns out that what I probably have to do to complete it is a massive amount of extra reading and an even bigger amount of proving lemmas. the thing is that my work is about something like a generalization of results that have been proven by two people (one of which is khovanov, yes, that khovanov) and I feel it in my balls that the case I'm working on should be treated in a similar way. now the problem is that I can barely understand what they wrote for the "easier" case and I just can't see myself doing that for the more complicated one. oh and for my case I should probably use equivariant cohomology. but all I know about it is the definition, I have never even calculated anything for that + I will do a course on it this semester so it feels futile to study it now. idk I need to talk to my former advisor about this and ask him to be honest, does he even believe that this can be done?

other than that I'm applying for a scholarship. I don't think I will get it, but it is worth trying

I moved in with my boyfriend and our cat decided that my desk is way too big for one person, so now it's our desk

uni starts in a month so I should probably spend that time doing something other than math, which I will be doing all the time once uni starts, but I struggle with coming up with things to do that are not math-related. I should complete some tasks for work, but I would also like to have a hobby

there is a number of things that I could try, for instance reading, drawing, singing, grinding metas for geoguessr (apparently I'm a gamer now), but I can't commit to any of those, my interest comes in waves

maybe I could schedule about an hour per day to do one of those things so that my brain gets used to it. it is not like I can focus on math 24/7, I need to take breaks and I have days when my motivation is zero, so I just sit at my desk and watch stupid shit on youtube. but that's the point, days like that could be spent doing something meaningful and refreshing, instead I just procrastinate math lol

my love for topology is a very concave function with a very positive derivative

tietze theorem is fucking beautiful urysohn's lemma is pretty and separation axioms are cute

aand i animated some riemann integration today:

i could've chosen different partitions or a different function in order to achieve more frames but i like this anyway

Mathematicians be like:

Def 1.1: A function f is fucked-up iff it is not Lebesgue measurable

Def 1.2: A function is evil iff its graph has non-integer Hausdorff dimension.

Exercise 1: Prove that there exist fucked-up and evil functions

Master Control Program

A minimal 74 knot on the simple cubic lattice

(source code)