#serious-discussion

1 messages Β· Page 442 of 1

light needle
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someone encode all the iso thms

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in like one diagram

deep mango
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the best one is the second one

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it's a diamond

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πŸ™‚

inner finch
#

I remember when the iso thms were like

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holy grail type shit for me sotrue

deep mango
#

they're still holy grail type shit for me

inner finch
#

shutup nerd

deep mango
light needle
#

oof

inner finch
#

πŸ™‚

deep mango
inner finch
#

tterru moment

light needle
#

torterra

latent forge
#

i only remember first

light needle
#

all of them in one gigantic diagram

inner finch
#

They're all first iso thm in disguise

light needle
#

for the memes

deep mango
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β—‰Ο‰β—‰

light needle
#

also 3rd iso best iso fite me

inner finch
latent forge
#

Wait how many for rings and groups?

inner finch
leaden torrent
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$\begin{tikzcd}
G & H \
{G/\mathrm{ker}(\varphi)}
\arrow["\pi"', from=1-1, to=2-1]
\arrow["\varphi", from=1-1, to=1-2]
\arrow["{\tilde{\varphi}}"', dashed, from=2-1, to=1-2]
\end{tikzcd}$

fathom swallowBOT
#

Namington

inner finch
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shutup

leaden torrent
#

bleh too long to make a good sticker

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how do i make it less long

deep mango
#

third is G/H / H/K = G/K

leaden torrent
#

without redoing all the arrows

light needle
#

quotient of quotient and corrospondence of ideals

inner finch
#

oh yeah that one was kinda nifty

latent forge
#

no that has to do with order

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rip

inner finch
deep mango
#

second is G/H = K/(H intersect K)

leaden torrent
#

huh

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maybe i make a triangle

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one sec

light needle
#

its some composite homo meme

calm vortex
#

It is sometimes better to be in a group of less talented/experienced people

inner finch
deep mango
#

idk

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no

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not at all

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but it's a diamond like that

latent forge
#

wait wot

deep mango
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it's true if H + K = G

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i think

inner finch
#

Isn't it about doing the KH/H thing

deep mango
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oh yeah

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you're right

latent forge
#

K is just some random set?

inner finch
#

yes sotrue

deep mango
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well yes

latent forge
#

wtf

deep mango
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it's when HK = G

inner finch
#

subgroup smh

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im hungry as shit

light needle
#

everything closed or smth

calm vortex
leaden torrent
#

\begin{tikzcd}
G && H \
& {G/\mathrm{ker}(\varphi)}
\arrow["\varphi", from=1-1, to=1-3]
\arrow["\pi"', from=1-1, to=2-2]
\arrow["{\tilde{\varphi}}"', dashed, from=2-2, to=1-3]
\end{tikzcd}

fathom swallowBOT
#

Namington

leaden torrent
#

no thats worse

inner finch
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lmao

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bruh

latent forge
#

i forgot what notation HK is is it HK={h.k in HK| h in H and K in K} for H,K subgroups of G?

inner finch
#

yeah

light needle
#

universal property of quotients catThink

inner finch
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for sets in general

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subsets of a group

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or monoid

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more generally

leaden torrent
inner finch
latent forge
#

So if two sets added equal the big group then the quotient of their sum over one of them equals something?

leaden torrent
#

im deleting this sticker in like an hour btw

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even my shitposts have standards

latent forge
#

Its natural speech

inner finch
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no sotrue

hybrid zephyr
astral marsh
latent forge
#

Its stream of consciousness typing

inner finch
#

hello woog

light needle
#

lol mizzy there was euclids axioms in the logic book

astral marsh
latent forge
light needle
#

the language is so meme

hybrid zephyr
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Hello

astral marsh
inner finch
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i didnt even read that part

light needle
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like in the peano axioms thing

inner finch
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my eyes glazed over

deep mango
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shonkie

light needle
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also btw peano axioms trigger me

deep mango
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mizzie

inner finch
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what is it with peano axioms

astral marsh
light needle
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it feels like

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idk kind of circular

inner finch
#

peano axioms fucked so hard with my head

light needle
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makes me feel v uncomfy

inner finch
#

when i was new

latent forge
calm vortex
#

But why?

latent forge
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im new

inner finch
#

Search mirzathecutiepie in the analysis channel

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sift through the 3 accounts and mayble you'll find the thread sotrue

blazing pawn
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the best stickers are

latent forge
inner finch
deep mango
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mirza did you get confused by +

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omg times so confusing

light needle
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+(a,b)

blazing pawn
inner finch
deep mango
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wtf is minus???? omg

inner finch
#

shutup ryc lmfao

deep mango
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how 2 understand piano axioms

light needle
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-(+(a,b),b)=a

deep mango
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wait this isn't google

latent forge
#

what so bad about piano azioms

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peano axioms

inner finch
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It was bcs i had trouble like seperating convention and understanding that u could axiomatize them

light needle
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it makes me uncomfy cause like, i feel like we are defining N in a way that already requires you to know N

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idk

inner finch
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Well yea we need intuition for the things we make rigorous hmmCat

untold sapphire
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they're inconsistent. you can't say on one hand that a fifth is a frequency ratio of 3/2 and at the same time is a ratio of 2^{7/12}

latent forge
inner finch
#

anyways i lost my shit that if u wanted u could have

wild lantern
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You need an IQ of at least 80 to learn to play cool piano songs.

untold sapphire
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what about the peano axioms requires you to already "have N"

latent forge
inner finch
#

1,3,2,... as a model of the peano axioms where 3 is what we usually use for 2 and vice versa

untold sapphire
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or "know N"

inner finch
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Yeah everyone knows me sotrue

untold sapphire
#

πŸ™„

latent forge
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i dont know first thing about peano axioms

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is it a lot

inner finch
#

no just like 6

latent forge
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or is it boring logic poo

inner finch
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just making the natural numbers rigorous

latent forge
#

lay it on me mirzaalqt314

light needle
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like we are defining it by doing s a bunch of time, but like, isnt us saying that a certain string of succ is different from the other needing us to count the numbers of succs

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isnt that like

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N

inner finch
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So we have like basically axioms that axiomatize addition stop u from wrapping around n stuff like that

latent forge
inner finch
#

Since there is no inherent meaning to the symbols "1,2,3,...", we only care about how they interact with each other

latent forge
#

Only if they arent the same number right?

light needle
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ok but how do you know that they are different. you have to count the succs

inner finch
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one sec i need some water im tired and dehydrated

latent forge
light needle
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and I am saying that I am not convinced the concept of counting exists before defining N

latent forge
#

matching them

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you dont need to count to match and remove

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remove a succession from each until no more on one

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and boom

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one bigger than other

calm vortex
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0={}, 1={{}},2={0,1},...

light needle
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hmm i do like the cancelling a bit better

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but again concept of order

latent forge
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well you just formulated order from canceling

calm vortex
#

If there is one-one correspondence between S and n then S is of cardinality n?

light needle
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i feel like i need N to even say that one thing is bigger than the other

latent forge
#

just cancel succesions

light needle
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sure

latent forge
#

one string runs out first then its less than other string

light needle
#

I see

latent forge
#

idk for rationals though

light needle
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and you just say empty string != anything else

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and we dont need any more than that hmm

inner finch
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i hev so mani pillows

latent forge
#

ye

light needle
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ok i think thats better actualyl

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that helps

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like i guess im so uncomfy bc like

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its like you have a building

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but then you are removing the ground floor

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and trying to remake the ground floor

inner finch
latent forge
#

thats all of logix though?

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literally not real

light needle
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like, if the ground floor doesnt exist then what does you know what i mean

latent forge
#

or maybe im naive

inner finch
#

logickk

latent forge
light needle
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so i feel very iffy cause i feel like, i cannot use anything

inner finch
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ah yeah

latent forge
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I can can assure you that N isnt naturally concieved of in humans

inner finch
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u mean u feel uneasy bcs what if this doesnt make sense to u and it cascades over

latent forge
#

humans arent born to xount

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counting is learned

light needle
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kinda ig

calm vortex
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There is evidence that humans counted 50,000 years ago

latent forge
#

many anthropologists have shown that counting isnt natural

light needle
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i like it, its v challenging for me to think of these stuff in this framework

inner finch
#

if wildberger can do math then so can you john sotrue

latent forge
light needle
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cause im not used to this at all

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wildburger

inner finch
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children were born counting bro

latent forge
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And humans as we know it didnt exist for that long

light needle
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I was counting in the womb

inner finch
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I was born counting

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same

latent forge
#

or wait

light needle
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I was counting as a sperm

latent forge
#

am i missing 0s

light needle
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how do u think i won the egg fertilization

inner finch
#

mon i feel sick

light needle
#

superior math ofc

calm vortex
latent forge
#

homo homo sapiens were around 30k ya or 300k ya?

inner finch
#

what is the point of this hmmCat

latent forge
light needle
calm vortex
#

The point is counting is somewhat natural

inner finch
#

if they aren't natural then why are they called natural numbers

latent forge
#

Its intuitive but not natural

deep mango
inner finch
#

πŸ˜”

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sik time

light needle
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i think

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its the logic

latent forge
#

are we allowed to say brainlet?

light needle
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its messing with ur chemical balance in ur brain

calm vortex
#

Though I don't like Kronecker, I kinda like this quote "God created natural numbers, everything else is work of man"

inner finch
#

sully

calm vortex
#

Though the quote is not true

inner finch
latent forge
#

yes because god isnt real

light needle
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I remember i did analysis for a month

inner finch
#

tbh man isnt real

calm vortex
#

Yes that's one reason

light needle
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was depressed and sick everyday

latent forge
calm vortex
#

And another is numbers are also an invention

inner finch
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john is literally me

light needle
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we have already established this.

latent forge
#

real numbers are far from intuitive

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too complicated

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makes me hed hurt

calm vortex
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I kinda like that quote because, it atleast reminds us about starting point

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If I assume 50,000 years ago to be a starting point

latent forge
#

I dont associate with humans that old

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ultra boomers

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they probably thought they were the shit for counting maize or whatever

calm vortex
#

It's okay but still they were our ancestors

latent forge
#

not mine

calm vortex
#

All human beings are related

inner finch
#

so true...

latent forge
#

By a classification

calm vortex
#

Infact all living beings are related

inner finch
#

what is the relation...

latent forge
#

I dont associate with ….

calm vortex
#

so true

latent forge
#

Oh that reminds me

calm vortex
#

All share a common ancestor

inner finch
#

very true nine9s

calm vortex
#

Everyone on this planet is related to each other

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That's the reason for the name Earthling

light needle
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everyone participates in incest.

inner finch
#

this is the upshot.

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thank you MathForEarthlings#0360

latent forge
calm vortex
#

Distance between people matters

latent forge
#

False

inner finch
light needle
#

you cannot produce fertile offspring

calm vortex
#

I am talking about incest

latent forge
#

entomology

light needle
#

so mules and horses can breed

latent forge
#

look up arachnids

calm vortex
#

Mules and horses can breed

latent forge
#

it happens often

inner finch
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i was going to make a bad joke i held off

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😌

calm vortex
#

but their offspring cannot reproduce

latent forge
#

speciation is classified by ability to produce offspring, not fertile or not

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and something else

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i forgot the something else

calm vortex
#

Anyway this is bio

light needle
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hmm pretty sure mules and horses are classified as different species?

light needle
#

its been a hot minute since i studied this meme kek

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like i remember some speciation stuff and i guess they did stop offspring

latent forge
#

mules are infertile

light needle
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but wouldnt something that made u have infertile offspring like

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be a speciation event

latent forge
#

it makes hybrids

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hybrids are different species from parents

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different species can have sex and concieve but its an unknown problem if chromosome pairing happens

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and when it happens

inner finch
#

you're such a baka 😊

calm vortex
#

Lets leave non-human animals, but I want to understand why people are hesitant in accepting that every human is atleast distantly related to every other human being

latent forge
#

The African wild ass or African wild donkey (Equus africanus) is a wild member of the horse family, Equidae. This species is believed to be the ancestor of the domestic donkey, which is usually placed within the same species. They live in the deserts and other arid areas of the Horn of Africa, in Eritrea, Ethiopia and Somalia. It formerly had a ...

inner finch
#

mmmm

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wild ass sotrue

light needle
#

hmm i mean, probably some discomfort bc of socail expection of being related

latent forge
#

Im chalking it up to concergent evolution and some interbreeding

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But we are all homonids imo

inner finch
#

but yeah we are all related its not too tuff of a thing to think about thonk

latent forge
#

Yea we family

inner finch
#

πŸ€—

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cursed emote

latent forge
#

until you steal from me or block me on twitter

limber perch
inner finch
#

oh wait

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oh

light needle
#

hello cousins.

inner finch
#

bruh

latent forge
inner finch
#

i did not know you meant that

latent forge
#

with the deeznuts guy and 21 kid

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but its too deep in my camera roll

limber perch
#

sounds pretty 2016 to me

latent forge
#

2014

inner finch
#

I have rescinded the this

limber perch
#

lmao

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mirza supported saying the n word guys!

inner finch
#

i thought nine9s was making some surrealist joke about my use of ....

latent forge
#

I was

light needle
#

indeed...

latent forge
#

doubly paralleled entantre

inner finch
#

so this is what it looks like trying to decipher what i mean sotrue

latent forge
#

my humor is imacculate

inner finch
#

except one is not a joke and the other is

limber perch
#

mirza is actually saying the n word in her name, mods just cut her off

inner finch
light needle
#

thonkzoom *

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sorry meant to thonkzoom

inner finch
#

what is going on

latent forge
#

ping miza and type the letter right adjacent to u on a qwerty keyboard then press the enter key.

light needle
#

nizra

inner finch
#

bruh

limber perch
#

bruh mirza this is not okay

latent forge
#

its ok

inner finch
light needle
#

thonk

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boring name

latent forge
#

blacke mail

inner finch
#

My name is going back to mirza

limber perch
#

lol

latent forge
#

good

inner finch
#

what are you going to blackmail me with sully sully

latent forge
#

math help?

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you clearly have knowledge i dont

inner finch
#

inb4 getting blackmailed with math help sotrue

light needle
#

u r reading logic

inner finch
#

Mirza's career is over pray for her πŸ™

latent forge
#

its fine i wont unleash the beast

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i might show mods if im having a very bad day with analysis though

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then they are gonna give me math help too

limber perch
#

yea can’t have this get out

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math server would be banned from existence

latent forge
#

its not populr anyways

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maybe math will be popular in next couple of decades

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veratasoyum is doing a good job

deep mango
#

"when will they make the ultimate undergraduate category theorist in danganronpa 4"

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"that's mirza already"

inner finch
untold sapphire
#

veritasoyum lmfao

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THERE IS A FATAL FLAW AT THE BOTTOM OF MATHEMATICS

cold needle
#

LMAO

deep mango
#

lol.

cold needle
#

veritasoyum 😭

crystal dagger
#

is pmath worth learning for fun

limber perch
#

very excited

cold needle
#

you can safely skip it

sick burrow
limber perch
#

but the thumbnail

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i'm a simp for clickbait

cold needle
#

i like the history though

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i should probably read more about it

sick burrow
#

lmaoo that thumbnail is great

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wait was that the video where he said incompleteness led to the smartphone

vivid halo
#

yea lol

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awful video

sick burrow
#

was it really that bad?

bronze pelican
#

its a good video :kot

sick burrow
#

I haven't watched it so I don't know but from what I've heard it was one of the better popmath videos on incompleteness

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I'm not sure if it passes the test though

vivid halo
#

there are no good pop math videos on incompleteness, sadly

sick burrow
#

that I have for whether an explanation of incompleteness is good or not

limber perch
#

you could say youtube is incomplete in regards to that topic

sick burrow
#

if it includes the phrase "there will always be true things we can't prove" or any variation of it then it's probably bad

sick burrow
forest jackal
#

4, tao's is 2, I have a mutual collaborator with tao.

crystal stone
#

That's what I suspected, most ppl in our generation will be 3 or 4

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well

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Those in the correct fields

sick burrow
narrow rock
sharp mulch
#

Wait ryc do you have an erdos number

crystal stone
#

Ryc said it's soon to be 4

latent forge
#

How do you fet research as undergraduate though?

sharp mulch
#

Oh ok

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If we get this paper published

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Mine will be 5

latent forge
#

Just spray and pray?

sharp mulch
#

I don't think I have much hope of it being lower

narrow rock
#

Mine will be 69

crystal stone
#

I'm counting the paper that we just submitted

sharp mulch
#

Given my fields of interest

crystal stone
#

It hasn't been published yet

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But it should be god dammit

sharp mulch
#

Numerical methods, fluid dynamics, earth sciences, bioengineering

crystal stone
#

First journal takes 6 months to reject

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Second journal takes 6 months to reject

deep mango
#

wait

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ange

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isn't holtz's 3

sharp mulch
#

Holtz isn't going to be on the paper is she

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I would believe that Holtz's is low

latent forge
sharp mulch
#

But that also doesn't matter

crystal stone
#

He just decided to gun for top journals during covid

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Cuz the paper is actually good

latent forge
#

What topic?

deep mango
#

i forget

sharp mulch
#

Lolllllll

deep mango
#

she might be 2

sharp mulch
#

Really

crystal stone
#

Analysis/PDEs/Harmonic/Discrete/Probability/Convexity

sharp mulch
#

Ok

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We can bring it up tomo

narrow rock
#

Totaro has 3 lol

sharp mulch
#

If we add Holtz we should also add Demmel

crystal stone
latent forge
crystal stone
#

well, it took us about 5 months working on the project together

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To get the first draft of the paper going

latent forge
#

πŸ’€

crystal stone
#

We submitted that twice, got rejected twice

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Then we put in some newer results we obtained, added like 8 pages

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So we're hoping that having a longer paper will help

limber perch
#

how the fuck do you write a paper more than 6 pages

latent forge
#

Do you get a reason for rejection?

narrow rock
#

Balmer has 3

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interesting

sharp mulch
#

For ryc and I, have lots of graphs

latent forge
#

Or is it like dating

sharp mulch
#

We have more than 12 pages of graphs

limber perch
#

i also have a lot of simulations for my thing

crystal stone
sharp mulch
#

In a 41 page paper

limber perch
#

but none of them are directly relevant

crystal stone
#

It was basically like

sharp mulch
#

Maybe 15 pages?

crystal stone
#

"What the fuck is this technique"

limber perch
#

they're like "oh this looks cool oooh"

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but they provide no help to understanding the proofs

crystal stone
#

It's a crazy paper

latent forge
crystal stone
#

Because it's just out of nowhere and it nukes away some interesting problems

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But it's hard to see what the deeper meaning of the technique is

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Or even what types of functions we have

latent forge
#

So so do you have to write motivation for the technique?

crystal stone
#

Well, we have some motivation for it

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And we were able to solve the motivating problems in some sense

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But there are things we don't know, e.g. explicitly constructing a family of functions that satisfies our inequality

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which relates to a PDE

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Via some Brownian motion shit

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IDK it's crazy

latent forge
#

I wish

crystal stone
#

I only understand the parts I worked on

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The broad overview of it is very hard to parse

latent forge
#

any applications your thinking?

crystal stone
#

We had a few applications

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We were able to get some sharper bounds on stuff

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Sorry I don't wanna get too specific cuz dox

latent forge
#

Oh ok well I pray for you

crystal stone
#

yUh

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||I mainly just want to get into a fucking PhD program||

narrow rock
#

harvard needs the GRE

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cringe

crystal stone
#

why go to harvard

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when you can go to MIT

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and take classes at Harvard

narrow rock
limber perch
#

am I the only one who initially thought quals where used in the grad school admission process

crystal stone
#

I've had some people tell me I can show up & take quals as I'm applying

#

The University of Arizona department said I could do that

limber perch
#

yea but they won't help your application?

crystal stone
#

Uhh

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They definitely would

limber perch
#

it's just like, if you get in things will be easier for you

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oh

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but still that's nonstandard

crystal stone
#

You can ask

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Some will be cool w/ it

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Some won't

narrow rock
#

brb asking harvard if I can do their quals instead of the GRE

crystal stone
#

πŸ€·β€β™‚οΈ

#

I'm sure if I asked Irvine they'd let me in

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To take their quals

narrow rock
#

Harvard's quals are monkagiga

crystal stone
#

You know what MITs are?

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you take 8 classes

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You pick like 2 or 3

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and you have an oral qual on those 2 or 3 topics

narrow rock
#

that sounds alright

limber perch
#

pov: you're taking harvard's qual exam

crystal stone
#

MIT just seems to be the superior school for PhD program

limber perch
crystal stone
#

Harvard might be better for undergrad

#

I only know one person that attended harvard for undergrad math

narrow rock
#

as long as Peter Sarnak is not the one asking the questions kekw

crystal stone
#

So my CC teaches up until Calculus on Manifolds brofib

#

There was this kid that completed that honors math sequence while in HS

narrow rock
#

have you seen the meme princeton qual transcript moonbears

crystal stone
#

back in the 90s, he got into harvard

sharp mulch
#

I know a lot of people who went to Harvard for ugrad math

#

There was a math 55 group chat

#

And one year, there were like 20 people who took it

crystal stone
#

Reading those

#

I feel bad for Terry

sharp mulch
#

And by graduation, 19 out of 20 had gone into quant

narrow rock
#

im talking about a specific one

#

I forgot his name

#

fuck

crystal stone
#

Was it the guy that said

#

"Of course I did well on elliptic curves, I went to harvard after all"

narrow rock
#

do you enjoy my commentary?

#

or something like that

latent forge
crystal stone
#

nUh

#

MoonBears life fucked up

#

MoonBears academic track fucked up

#

I like working on math and pretend I'm sometimes productive

narrow rock
#

Ryan Alweiss

crystal stone
#

But I got straight rejections this past cycle

narrow rock
#

read his qual transcript

#

moonbears

crystal stone
#

Ppl told me that this cycle was just stupid

vivid halo
crystal stone
#

but it's pretty soul crushing and humiliating

narrow rock
#

I would have killed myself on the spot if I was in that qual

crystal stone
#

To see all my friends that will be starting their second, third, or fourth year of PhD

#

When I started at around the same age and time as them

narrow rock
crystal stone
#

I'm reading along

#

Fuck

#

Wrote the laplacian wrong

limber perch
#

have you guys heard of david stoner

#

she goes by cynthia now

crystal stone
#

R: Uhh well you can first assume there is a harmonic conjugate using Cauchy-Riemann
S: No don't use that.
R: Uhh idk. I know that it's some details.
S: NO!!! You should know how to do this, it's a problem for undergrads. OK fine use harmonic conjugates. How do you prove that it exists?
R: Well you can use Jensen's formula! OK that's obviously not allowed. Stutters and then talks about how you can do the simplest thing you can do to solve any differential equation, integrate along a rectangle once you know the derivatives.
S: ANY differential equation?
R: Well I meant that it is the simplest among all techniques that are used to solve differential equations, not that it is applicable to all differential equations. The word "any" is ambiguous like that.
S: You make so much commentary! Anyway, how do you prove the mean value theorem if you can assume a harmonic conjugate?

#

Fuck that

#

LOL

latent forge
#

So demeaning

narrow rock
#

"You make so much commentary!"

somber kite
latent forge
#

I dont want a meanie advisor when i grow up

narrow rock
#

R: This is bad notation
S: No it's fine
R: But g is a letter of the alphabet so it's inside that product
S: Whatever
R: OK, then you can write this is as (gaba^{-1}b^{-1}g^{-1})*... so it suffices to show it for gaba^{-1}b^{-1}g^{-1}. Now uhh... ok this can't be that hard, like there are only O(1) things to try.
S: O(1) things! I like the way this guy thinks! Also I like your commentary.
R: Do you actually like my commentary?
S: No not really, it's kind of annoying. It's better to just think and answer.
R: Oops. I think commentary makes me less stressed.

latent forge
#

Holt shit

narrow rock
#

:kms:

latent forge
#

Was this done in comedy?

vivid halo
#

A: What can you say about solvable groups?
R: Proceeds to describe was solvable groups are.
A: What can you say about the commutator subgroup?
R: Uhh wait what's that? OK so commutators are aba^{-1}b^{-1}
S: Is that a subgroup?
R: Uhh no.
S: But they generate a subgroup. What can you say about it?
A: Is it normal?
R: OH YEAH

crystal stone
#

Wow you're citing specific chapter numbers now!

latent forge
vivid halo
#

no, it's just a transcription

somber kite
crystal stone
#

Wow you're citing specific chapter numbers now!

limber perch
#

x^13 \equiv x (mod 2) and (mod 5)

#

you can determine from there

latent forge
#

I mean with the connotation

limber perch
#

the units digit at least

crystal stone
#

R: You know I never liked integration by parts, I always preferred to guess the answer.
S doesn't like that I express my dislike of "integration by parts" even though what I mean by this is that whenever I am asked to integrate something by parts I just guess the answer instead.
S: Actually you know what? I want to make sure that you know what you are talking about, write some things down on the board.

narrow rock
#

lmao

vivid halo
#

HAAHAHA

narrow rock
somber kite
narrow rock
#

A: What do you know about the permanent?
me: The permanent is at most 1 and at least n!/n^n.
A: Who proved that?
me: Two Russian mathematicians whose names I forgot proved that in the 70s.
A: Egorychev and Falikman, in the 80s. But good enough. A: State Szemeredi regularity.
R: states it
S: Use this to prove something.
A: Yeah prove Roth with it.
R: This will never get as good bounds for Roth as the Fourier, but anyway you can prove triangle removal lemma with regularity, so then you have to just prove the Roth from the triangle regularity. So given a subset you split it into three parts and you make a graph out of the set in this way. I'm definitely going to mess up the coefficients. Wait YES I think I have the right coefficients!
S is amused by the commentary again

latent forge
#

Is he these master students or phd students

narrow rock
#

phd

limber perch
crystal stone
#

When you know what you're doing

limber perch
#

you can determine the ans from there

crystal stone
#

but you have 0 social skills

#

That seems to be the gist of this transcript

vivid halo
#

can confirm, I know who this person is and that is an accurate description

limber perch
#

i feel like ryan alweiss' generals were brought up in this server before

latent forge
#

They are both meanies though, or are oral quals supposed to be very serious atmosphere with little time wasted?

#

I only took one oral test

vivid halo
#

ehh they are more forgiving than you might expect

crystal stone
#

S gives some life advice to not be so colloquial. At one point during the complex analysis section instead of saying Cauchy integral was true if the region was simply connected I said it was true if there was no crap in the region! S said not to use the word crap in an oral exam given by 3 professors! S also said not to say that proving the harmonic mean value theorem was "just details" or to make other belittling comments. I agreed that this was good advice. D and I leave A's office, and A and S talk a bit more. Later I come back to A's office and A says that the generals went well (and S later also tells me I did well), but that I should be clearer when explaining things and also be less colloquial.

latent forge
#

lol

narrow rock
#

S said not to use the word crap in an oral exam given by 3 professors!

crystal stone
#

That's socal vibes

latent forge
#

What else does crap mean though

#

Meaning was clear to me

vivid halo
#

R: OK so say you have g(aba^{-1}b^{-1}...yzy^{-1}z^{-1})g^{-1}.
R: This is bad notation
No it's fine
R: But g is a letter of the alphabet so it's inside that product
S: Whatever
R: OK, then

narrow rock
#

lmao

latent forge
#

he isnt wrong

#

just use different alphabets and gg

crystal stone
#

telling a prof

#

who is hinting that you should change the name of your variable or whatever

#

During your qual

#

"Whatever"

#

Isn't a grand idea

vivid halo
#

the professor said whatever

latent forge
#

yea

crystal stone
#

Oh

latent forge
#

prof said whatever

crystal stone
#

Rip

vivid halo
#

lol

latent forge
#

ryan was being pedantic

crystal stone
#

I read it as R

vivid halo
#

Ryan was being hilariously pedantic as he usually is

latent forge
#

he is pedantic

modest rune
#

to be fair

#

that is

#

terrible notation

vivid halo
#

kek yea

latent forge
#

but proceeds to say crap

narrow rock
#

whatever

vivid halo
#

S also said not to say that proving the harmonic mean value theorem was "just details" or to make other belittling comments.

crystal stone
#

It seems the princeton quals don't go that badly

latent forge
#

yeah its annoying to speak like that

vivid halo
#

yea they're generally fine

crystal stone
#

I had an oral final from Garnett

#

He asked me to do something using riemann integration

#

instead of lebesgue

#

And I was like

#

Uh no thanks

vivid halo
#

lmfao

crystal stone
#

He forced me to do it

narrow rock
#

lol

crystal stone
#

I hadn't thought about Riemann integrals in so long

#

and then got mad at me when I couldn't do it on the fly

#

I passed, but I was like fuck

latent forge
#

Wait

crystal stone
#

Should've prepared more

latent forge
#

calculation is that different?

crystal stone
#

No, it was a theorem

#

Fun fact, that same question he grilled me on for riemann integration

#

ended up on my applied functional final that fall

narrow rock
crystal stone
#

And I was like "Oh I know how to this guy now"

#

Math is a weird subject

latent forge
#

Do some gradschools actually require you know some popular european language besides spanish and english?

#

because princeton transcript website has german word list

limber perch
#

"require" ?

#

I would hope not

latent forge
#

did some searching and apparently back in the days it was required to know some

vivid halo
#

some programs have basic language requirements

#

but they aren't hard to pass

latent forge
#

and princeton has a requirement

#

i only know some spanish and arabic

vivid halo
#

french is a common one to learn

latent forge
#

ok im locked in then

#

french isnt too bad from what ive seen

vivid halo
#

yea it's really easy

#

again you just need to know it well enough to like, translate a few pages of mathematical text fairly well

#

not hard

latent forge
#

yeah ive done it before

#

spanish is particularly easy

crystal stone
#

I don't even think Irvine has a language exam

#

I did years of college french for nothing

astral marsh
#

i mean i've been able to effectively interpret enough of french math text to understand it in the past whenever it's come up

#

you just need to do educated guessing

neat lintel
#

I should learn french by reading french math

mortal oasis
#

le 1 + le 2 = le 3

maiden chasm
#

Is studying math required in order to get good?

viscid pecan
#

Yea definitely

scenic narwhal
#

get good at what

cold needle
#

at math presumably but

#

uh for other things not necessarily

#

h m m

timid spindle
#

lol TA shared his fitbit data instead of storm data in assignment

pale orchid
#

anything works

#

extra credit if you figure out how he runs 10km at 3 am

mild pebble
#

anyone else have the frustrating experience of doing hard classes and getting not great grades, but upon finishing those classes you've improved enough that you actually could do well in classes of similar difficulty, but you choose to take even harder classes, rinse and repeat etc etc

i mean i learn a lot in the process but im pretty sure it's not the best strategy for getting into grad school. i fucked up my gpa refusing to take easy classes because im an arrogant little shit and i am having regrets pls yell at me and tell me im a dumbass

velvet dagger
#

Sometimes doing a masters is an option. But yeah calibrate your grad standards accordingly

mild pebble
#

i've taken like 14 grad courses as an undergrad and gotten mostly B's. Last year i made the mistake of taking 3 grad courses at a time and got my ass kicked. i feel like i've put much more work into my degree than most math majors and genuinely learned a lot but dont have the stats to show for it :(. As a community college transfer I only had 2 years (well, I'm taking an third year to compensate) to learn the ropes and I feel like I've just now managed to hit my stride with courseload management etc, but now I have to start applying.

#

I've taken like 5 undergrad classes

#

well the core quals classes don't have that kind of grade inflation

#

but you are right, i did manage an A in an alg geo class despite not understanding half of it

#

also i'm on the quarter system so it's not like 14 semester-length classes

narrow rock
#

@neat lintel Harvard needs the GRE

odd narwhal
#

same here so far

#

i've been told the more advanced the class the more lax the grading

#

also since it's mostly grad students taking them, so you don't wanna put too much pressure on them while they're busy with TA duties and research

#

also a lot of them have like, take home tests

narrow rock
#

all tests are take-home

#

covid

odd narwhal
#

here all my tests were frontal this exam season

#

same

#

all exams were over zoom last fall

narrow rock
#

I had one timed math exam

#

but everything else was take-home

#

those classes kinda suck

odd narwhal
#

same

#

and no midterm on one

#

but that's cuz of no budget for the maths department

#

ok then I had 1

#

easily the one I was most worried about grades in

#

but I ended up doing really well on the final exam

narrow rock
#

that's a graded assignment

odd narwhal
#

oh

#

you meant including final exam?

#

I thought you meant JUST a final exam

#

oh damn

#

so just based on attendance?

#

that sounds kind of awesome tbh

#

just not having to worry about grades

#

it's like auditing a class except you get 100 at the end

mild pebble
#

basically here's my timeline of courses since transferring:
In my first year, I took the quals algebra sequence and the honors/intro grad analysis sequence concurrently. Both had timed in-class exams. Got an A in the first part of the analysis sequence and a B in algebra, then basically straight B's for the rest of the year. I had no time management skills basically. Literally came straight from community college calculus (and one course in abstract algebra i took at a nearby university) and self-study.

Then in year two, I assessed myself to have better time-management skills and mathematical maturity than the previous year so that I would've definitely been able to get all A's on a schedule similar to the previous year's. So I decided to take 3 grad courses the first quarter. Quals analysis, diff geo, and alg geo. Oopsie doopsie. Alg geo was a nightmare class that murdered me, diff geo was my last-min choice after the dude teaching complex was being an ass about undergrads taking his course. Ended up dropping diff geo in the final week with my one-time enrollment exception, passed quals analysis with B+, and got an undeserved A in alg geo.
Stuck around for quals analysis and alg geo part B in winter quarter, then school added new commutative algebra course. So still 3 grad courses. B in all of them.
Then final quarter I decided to drop the alg geo sequence because it was a nightmare. School had a course in noncommutative ring theory as part of the same sequence containing the comm alg course. Stuck with that and the quals analysis, and added a reading course in category theory. I was so burned out that I was literally studying like 3 days a week. Thought I was gonna die. was not fun.

Anyway, that puts me in my current situation

latent forge
#

im having algebraicheadache

mild pebble
#

I'm convinced that I've finally found the right pacing that works for me after all the stumbling around but it's kind of late.

Also I'm not sure it matters, but I have ADHD. It's really been a struggle for me to get my shit together. I've lost my diagnosis from high school and I'm a little bit discouraged about trying to get rediagnosed as an adult.

#

anyway thanks for listening to me vent about my academic bs

latent forge
#

Im similar to you

#

In that I get straight B+ A-

#

and all feel undeserved

#

and time mangement is WIP

#

and alg geo prof is bad lecturer

#

i think id like alg geo but the prof has failed me twice

#

he didnt operate office hours correctly was the worst part

wild lantern
#

I feel like most people suck at time mgmt, it doesn't seem like an issue that's really solvable or whatever either. By actively working on it you two are probably doing more than many other ppl would.

mild pebble
#

I feel like time management is a skill and I needed more time to learn it than most

wild lantern
#

Of course. What I mean is that being self aware enough to even recognize it as a skill is more than a lot of people lol.

#

This is a good thing.

mild pebble
#

I see. Thanks for the reassurance. I'm hoping next year goes smoothly. Never doing 3 grad courses again lol

mild pebble
#

Is it just me or does alg geo literature in particular seem to suffer from this problem? My biggest problem was that many of the isomorphisms were established but never again mentioned explicitly even when it seems to matter what the identifications are

latent forge
#

during corona too

#

so im giving him some leeway

mild pebble
#

one day i will climb the mountain of alg geo and conquer it. but for now i just want to nap

burnt dune
#

comm alg is very like

#

metal

#

like heavy metal

#

cool

mild pebble
#

I loved comm alg. ah gotta dive back into eisenbud's beautifully thicc book

devout nacelle
#

MetalNinja custom emote?!

burnt dune
#

dude no

#

do atiyah

#

atiyah is actually metal

#

like the exercises oh

#

metal as fuck

#

by metal i mean spicy and fun as hell

#

and i dont think atiyah problems are boring or vague tbh

#

thats just my opinion

mild pebble
#

So in the beginning of the class we were discussing comm alg books including Atiyah and my prof was like "I picked Eisenbud because I prefer books that are actually readable"

burnt dune
#

wow really

#

i thought atiyah mcdonald is like

#

one of the best readable texts ever

#

like i actually think its one of the best ive eever read

#

yea maybe thats an unpopular opinion i guess haha

mild pebble
#

okay he didnt have exactly the tone i'm presenting but he did actually say that lol

#

but i do have Atiyah and I plan to put it to use very soon

burnt dune
#

exercises are metal as fuckk

#

i stopped at chapter 3 tho 😦

#

turns out i have to know topology

#

asked me to draw spec(Z) and i was like what

#

wydm by draw u idiot

#

turns out im the idiot

mild pebble
#

i thought it was specZ[t], which is uh even weirder

burnt dune
#

asked for alot of specs

#

i just iddnt understand the word draw

latent forge
#

reasons for this?

latent forge
burnt dune
#

yea

#

why boring

#

its so fast

#

a 600 eisenbud isnt boring and this isb oring 😦

latent forge
#

spec(X) is all prime ideals as basis or something?

burnt dune
#

whats intuition in algebra

#

yes

latent forge
#

whats a better text?

burnt dune
#

actually vakil

latent forge
#

title pls?

mild pebble
#

Also I think it's absolutely atrocious that the most popular paperback copy is under 150 pages with the print quality of a rushed photocopy and they're charging like $80 for it

#

but i bought it, so what does that say about me

burnt dune
#

quality baby

#

ur a man/woman of taste

latent forge
#

whats the name of vakil book?

burnt dune
#

rising sea

latent forge
#

sounds mystical

#

but i thought AM was for comm algebra?

burnt dune
#

uea

#

yea

#

it is

latent forge
#

your saying this book is a substitute in ways?

burnt dune
#

yea

latent forge
#

oh no

burnt dune
#

its called rising sea the foundations of AG

latent forge
#

table of contents made me guh

#

im going to read prerequisites

burnt dune
#

you can get away with normal ring theory

#

and point-set topology

#

localization stuff is self contained

latent forge
mild pebble
latent forge
#

Im only asking because I plan to study hard for my first grad algebra class

#

but idk the book we will use and neither does prof

#

ill post the description

#

cut off part says theory of localization

#

and modules over PIDs

mild pebble
#

You definitely don't want to use a comm alg book for that.

light needle
#

atiyah macdonald doesnt give intuition for things at all

mild pebble
#

I mean maybe as a supplement but most of your learning will come from a general alg text like dummit and foote

latent forge
#

I dont know what more there is to basic properties of rings fields and modules

light needle
#

like i only truly appreciate the things i learnt from it after doing some aNT and a bit of AG

latent forge
#

what else do you think the class will talk about?

burnt dune
#

modules

latent forge
#

i hope it wont be mostly review so im just curious

burnt dune
#

tensor products

latent forge
#

oh yeah barely did anything with modules

burnt dune
#

exact sequences of modules and stuff

odd narwhal
latent forge
#

its 2 part

#

ill post second desc

burnt dune
#

maybe touch some rep/char theory

#

idk

latent forge
#

πŸ‘€

#

completions sounds fun

mild pebble
#

oh okay that's a more advanced description

light needle
#

completions are nice

latent forge
#

this is second semester

light needle
#

you give ur ring a topology and complete it with respect to it

latent forge
#

zarkarski or something?

#

or is that something else?

light needle
#

nah, they will use an a-adic topology

#

its similar to p-adic topology in Q

#

you generate ur topology from an ideal

latent forge
#

oh

burnt dune
#

wait

#

are u johndoe

light needle
#

i might be

burnt dune
#

yea

#

u are

latent forge
#

Is it sinilar to the thing about taking prime ideals as basis?

odd narwhal
#

homological algebra zoomEyes

mild pebble
#

sounds like a fun course

burnt dune
#

did people like

#

do homological algebra for topology first

light needle
#

iirc you take the powers of an ideal as a basis

latent forge
light needle
#

or something like that

burnt dune
#

or they just looked at maps and said hey what about ker/im ?

light needle
#

i dont remember all the details kek

#

do topology b4 homological alg

#

or else it will be completely unmotivated

burnt dune
#

so like

#

homology was invented in like

#

topological context

#

at first

#

?

latent forge
#

im trying to do algebra topology and algebra at same time

light needle
#

thats a good idea nine9s

latent forge
#

algebraicheadaches was saying 3 classes is too much

#

but im dumb

#

so ill probably get by with minimal grades unless i study now

light needle
#

It really depends on the classes

#

if they build off of each other i think it can be good to take many classes at the same time

latent forge
#

ill post the class descriptions

light needle
#

but if its super disjoint then it might be better to take one of em later

latent forge
#

I think I need most review for analysis though

#

too many new things being covered

#

and most unfamiliar

#

rn im only using Halsey Royden for analysis and Allen Hatcher for AT

#

but im moving slowly through both

mild pebble
#

that looks like a tough courseload. That analysis course seems to go right into functional analysis territory which might be a bit intense. But a good head start could make things way more doable so idk

latent forge
#

im still slowly going though halsey royden and just got past definition for lebesgue measure

#

next sections are on integral

light needle
#

I would personally probably just focus on algebra adjacent topic on sem

#

and analysis the other

latent forge
#

my time is limited

#

i only have 4 semsters left

light needle
#

could you reorder so that a later algebra adjacent course is done this sem

latent forge
#

yea

light needle
#

cause having a common thread in everything ur learning will make life much easier

latent forge
#

wait ill pull up options

#

lie groups and lie algebra/algebeaic geometry are only choices

#

and alg geo has my accursed analysis teacher

#

i personally think id like analysis if I learned it with a different teacher

light needle
#

Lie groups can be nice to learn alongside the stuff

deep mango
#

lie theory is so coooooooool

latent forge
#

it sounds cool

#

but im not sure how detrimental it would be for me to disregard analysis and continue with algebra/topology related classes

#

I really am interested in analysis also, but im objectively worse

deep mango
#

i disregarded algebra completely beyond a first course

latent forge
#

i got my first B- from analysis

deep mango
#

didn't impact my grad apps

light needle
#

well its not as much ignoring it

#

as much as like

deep mango
#

also lie theory is analysis adjacent

light needle
#

you want a common thread in everything ur doing at a given time

#

that way you will learn each topic better

#

cause u see the interconnections

latent forge
#

yes i agree since last sem i took topology,analysis, algebra

#

all second courses besides topology

light needle
#

lie groups is more topological memes than analysis catThink

latent forge
#

ok i have questions then

sharp mulch
#

I literally only ever took undergrad algebra

#

And I got into grad school without issue

latent forge
#

say I decide to take algebra,lie algebra,algebraic topology for 2 semesters

#

I have 2 semesters left

#

what do?

light needle
#

oh these are for 2 sems

latent forge
#

im truly lost after i complete those sequences but I have some cool options

light needle
#

well its really the question of what you want to do vs grad apps

#

bc as ppl are saying you will probably be fine with the classes you ahve

latent forge
#

man

#

idk wq

#

Well with my knowledge as of today I feel like I really enjoy most of the topics I am learning, and feel like topology is the most interesting topic in general. However for my career goals I think that knowing a lot of analysis would make me very flexible in case I decide to go down another path. My goal is to eventually work as a researcher or do R&D/ Consulting for a company. The reason for me wanting to be a researcher is just out of pure interest mixed with dumb childhood dreams. I want to do R&D and consulting because it seems more stable and I will end up with transferable skills.

#

Also to add on I performed better in my topology and algebra classes compared to my analysis classes. So I have a strong case to continue

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But you are saying that my choice should ultimately depend on what topics I want to pursue in grad school

light needle
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Well I am saying do what class seem enjoyable cause you will probably be good w.r.t to grad apps regardless

latent forge
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god willing, thats my biggest fear. I just want to get into any school at this point because top schools seem too daunting

edgy atlas
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@latent forge good luck! also apply to a lot of grad schools, grad admits are a complete crapshoot

mild pebble
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grad admissions are stressing me tf out right now

latent forge
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I dont know if Grad applications give waivers

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I would apply to like 40 if I could get waivers

mild pebble
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is there any extra benefit to doing a masters?

edgy atlas
latent forge
mild pebble
latent forge
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thats poop

mild pebble
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yeah it's a scam

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i really hate admissions bs

mild pebble
edgy atlas
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also don't make my mistake and look into the actual application on the portal ASAP

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sometimes you have to write a lot of random things on the portal

mild pebble
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ahhhhhh i'm allergic to being proactive

edgy atlas
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dooo it. I know how scary it is

mild pebble
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okay i'll probably look into it. thanks

edgy atlas
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but if you do it i promise it will not be any more difficult than a school assignment

mild pebble
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btw how early do you start emailing profs for letters of rec?

edgy atlas
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and honestly it was easier than my undergrad apps

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Oh, a few months in advance is good

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Also usually you make that request through the portal as well

mild pebble
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so like now if i plan to apply to the next cycle?

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oh i see

edgy atlas
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at least in the US πŸ˜† i dont know if its exactly the same in europe

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but yeah probably give them a heads up that you want a LoR, then submit the official request through the portal, thats how it works here

latent forge
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what is LoR and you need 3 letters?

fluid gyro
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Lord of the Rings

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nah its letters of recommendation

bronze pelican
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The state of Quora questions

mild pebble
# latent forge thats poop

oops i think i might have been misremembering. i don't think it's thru your school actually. i think different schools have their own thing

nimble shuttle
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I swear some of these people have never been on the internet before

vast surge
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There is a dark and gritty Snagglepuss reboot.

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I don't know who asked for this or why, but I purchased it and will read it.

odd narwhal
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but starting to stress right now

bronze pelican
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u will get through it

narrow rock
odd narwhal
narrow rock
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fee waiver

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probably

odd narwhal
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ah