Room for Daminark and Balarka Sen

Daminark

00:27

145, eh?

Balarka Sen

Yup

Daminark

Woo

Also lol on the Gaussian primes problem, Laci was watching a friend of mine and I talk a bunch of random crap and not knowing what we were doing for like, an hour and a half

Well, new friend actually

Balarka Sen

Hah. Did Laci give you the problem?

Daminark

It was one of his puzzles

Balarka Sen

ah

Daminark

00:31

Find the primes $p$ such that $\mathbb{F}_p[i]$ is a field.

He has recommended now to learn some number theory so I may do that

Balarka Sen

You should teach it to me

I forgot that shit

Daminark

Want to read Weil's "Number theory for beginners?"

Balarka Sen

I was thinking of Grothendieck's EGA but sure...

:P

Daminark

Lel

I don't actually know anything about algebraic geometry beside the EGA/Hartshorne memes, and the fact that there are Zariski topologies, schemes, and varieties

Does it have anything to do with number theory?

Balarka Sen

Yeah I think so but I only know some stuff about varieties and not how it relates to number theory

something something frobenius endomorphism something something

Daminark

00:35

I imagine there is a wide variety of subjects that use it though :P

Balarka Sen

is this a demonark pun

Daminark

Yes it is

Balarka Sen

i should have known

So, is Weil's book really for beginners or is it lying

Daminark

That's actually a beginner book

Balarka Sen

Oh great

Daminark

00:37

"Basic Number Theory" is a huge lie

Chapter 1 is locally compact fields

Balarka Sen

O_o

well i guess anything less than a topoi is basic so

Daminark

Clearly

Balarka Sen

Oh man it's literally a hard core class field theory textbook

just looked at the contents

Daminark

Yeah it's insane

Number theory for beginners starts by basic properties of a field and all

It goes rather fast

Like in 70 pages it's doing Gaussian primes

But it's actually self-contained

Balarka Sen

Okay. I think we're both used to fast somewhat

Daminark

00:42

That's true

Balarka Sen

I have the book saved, let me know when you want to start reading it and I'll go ahead

Daminark

Alright, I'll see. This pset in manifolds is the last, analysis either last or second last

Then is finals which may be iffy

After that I'll be in good shape

Balarka Sen

Great. When is finals?

Daminark

So just finished 8th week of class, so 2 more weeks and then finals week

Balarka Sen

Aha, okay.

I'm free pretty much literally whenever

Daminark

00:52

Nice

This summer I should have some time, though the bootcamp will take a bit

Luckily, then I'll pick up complex analysis and geometry of curves/surfaces

Balarka Sen

Noice

What do you guys do in bootcamps?

Daminark

Working out of 4 books

Balarka Sen

like learning new stuff?

Daminark

Ted's DG book, Titchmarsh theory of functions (for complex), Sinai probability, and a book on Dynamical systems

Yeah

Balarka Sen

Oh, very very nice

Daminark

00:54

For sure

Balarka Sen

I loved the first two books

Daminark

With the former two, all I'll have left is algebraic topology and then I can join the cool kids club

Oh did you use Titchmarsh? Huh

Balarka Sen

I learnt some stuff out of it. I used a LOT of complex analysis books over the years

the most recent being a reading course out of Stein-Shakarchi

Daminark

Ah, a lot of teachers at my school use this a good deal for complex analysis

One of my friends is not too fond of it though

Said the exposition was alright, but the exercises were mostly either tedious or trivial

Balarka Sen

Haha

I kinda liked it, but mostly because I was taught out of it and didn't have to devour through it all by myself

Daminark

00:59

Lol, for what it's worth they're being taught by an iffy teacher

Balarka Sen

oops

Daminark

Schlag's book and Narasimhan are fast but seem good

Balarka Sen

I got the first downloaded (copyleft) but I haven't looked at it carefully

Daminark

01:26

Hey I'm back

Balarka Sen

yo

Daminark

And did you download the abridged one or the whole thing from lib gen?

Balarka Sen

No, the libgen thing

after you told me the one online was abridged

Daminark

Ah, good

Yeah that one is just really aggressive

Balarka Sen

gotcha

Daminark

01:30

From chapter 1

But yeah like, he wrote this book for the graduate complex analysis class here

Balarka Sen

Ah fair enough. I like H^2 but most complex analysis students prob won't have background on hyperbolic geometry

Daminark

And that's third quarter, so by the time the grad students reach his class they did a lot

Balarka Sen

(I don't know hyperbolic geometry except from what I overheard)

Daminark

Since there are 3 sequences going on simultaneously, so they'll know real and functional analysis, algebraic and differential topology, and representation theory and commutative algebra/algebraic geometry

He doesn't rely too heavily on all that stuff

Mostly the algebraic topology plus a bit of Hilbert spaces

But yeah, that's one book, Narasimhan is the one Ted likes, which I've found to be good (fewer topology-type prereqs and more analysis, which is probably better for me in this current state)

Balarka Sen

02:08

@Daminark Interesting. I can imagine it but I certainly have never "done" a "course" on CA which uses algebraic topology and Hilbert spaces

Daminark

Yeah, I'm hoping to take grad complex but Marianna won't really be assuming much background in that sort of thing

Though she will assume you did undergrad level complex

Balarka Sen

I see

Daminark

By the way, what are you planning for college?

Balarka Sen

I... don't really have any plans :)

Daminark

Come to Chicago! :P

(Kidding of course, though I dunno, if you were to go to America I'd say it's a decent place)

Balarka Sen

02:21

It'd be fun but I don't really want to leave the country. homesick dude

Daminark

Fair

Balarka Sen

I just want to fit in somewhere and get a more or less secured math-based life.

hopefully that'd work out

Daminark

Haha, same

Balarka Sen

I think UChicago is a decent place. Lotta cool faculty

Daminark

For sure

Also, I think it's probably one of the only schools around where I accelerate as much as I did

Like, in most schools either you come in with ridiculous background and place out of everything right away

Or you waddle through 2 years of math for engineers before you reach the good stuff

Balarka Sen

02:27

Yeah

Daminark

Who have you heard about from here? Given that you're doing foliations you've probably heard of Danny Calegari

Balarka Sen

I know Calegari, Farb are there. Nori on the alg-geo side

I probably know a bunch of other. Let me crack open the faculty page

Daminark

Ah, yeah, Farb, he's rather bouncy

Seems like his research bounces a lot

Balarka Sen

:D

I think he's a good friend of a person I know

Daminark

As well as him physically

Balarka Sen

02:29

oh Drinfeld is there? wow

Matt Emerton, man, that guy

Daminark

I might take his class next year

He teaches the third quarter of an algebra section (Galois theory)

Balarka Sen

Emerton?

Daminark

Yeah

Balarka Sen

He's really good. I like a lot of his answers in MSE.

Daminark

Apparently he's also a fantastic teacher

Balarka Sen

02:31

(Oh, and I know Peter May of course.)

@Daminark No wonder

Daminark

He tends to not just prove things, but also go on rants about how to think about things

Like, why does it make sense that x form of argument would be the way to go about proving this statement?

Balarka Sen

I like that so much

Daminark

Right?

I'm excited

Balarka Sen

Bloch is an Emeritus there? Huh!

Daminark

Yup

Balarka Sen

02:40

@Daminark I freaked out a little while reading this review of his

Daminark

Oh snap

Balarka Sen

did you read paragraph 3

Daminark

I know it's hilarious

Transcript for

♦ $Mathematics$ Room for Daminark and Balarka Sen

Transcript for

♦ Room for Daminark and Balarka Sen

♦ $Mathematics$ Room for Daminark and Balarka Sen