Mathematics

I mean, geometric arguments are neat (and I wish I knew more), but they're typically suboptimal for algebraic ends (though can be enlightening in other ways)

ah, i zee :-)

This is my nightmare:

it's very easy for the langlands experts to make all sorts of miraculous statements about the program since nobody else seems to have even a remote chance of following what's going on

asking Xander whether he thinks a hardcore category theory topic is profound lol

It is topos theory. I don't think that non-categorical explanations exist...

banging one's head on a wall is part of mathematics

@Shaun Yeah, and they keep all the good whisky there.

(The other author used different techniques. We later collaborated on a paper that ended up in Advances, so I'm happy.)

For a phd thesis, you are expected to do something novel. Beyond that, all the metric you point out seem to kind of miss the mark. Page counts, theorem counts, the amount of work you have done, etc---irrelevant.

Though if you are using LaTeX defaults, it is single spaced, and most places in the US require double spacing, so maybe it is actually closer to 32 pages? Which, with another 10-15 pages of background, is getting into the typical length range...

"Enough theorems" seems like a weird metric...

I remember one funny instance a couple years ago where somebody posted an exam question and Emily Riehl herself wrote an answer saying "meet me in my office"

people should really be interrogating those who upvote without comment. "ARE YOU SURE??? EXPLAIN THE UPVOTE"

old people's faces converge

@RyderRude who would want to. Creationism is basically considered to be a joke

Hi all, I've made poor life choices and now i'm stuck with the following problem:

@Shaun being a crank is not about studying something, but doing so with the attitude resembling that of ignorance. All it takes, is to not make outrageous claims, and be careful about your mathematics. Which is what every mathematician already has the skills for

You are also as free to not respond as I am free to not engage

you're not entitled to receiving answers to your question. you can always feel free to ask a question in this chat and then you may or may not receive an answer and that's life.

category theory is like drugs, best to start early

I opened hatcher and immediately cried

@nickbros123 Start reading Jech's book then

May I ask how one should approach studying a math book through self-study? What should one focus on, and what should they do? If you are a professor, what do you expect students to do? I know I’ve brought this up countless times already sorry for the repetition but I still haven’t found a clear answer. I made a lot of mistakes that consumed my time while studying real analysis, and I don’t want to repeat them, but I really don’t know what to do.

@SineoftheTime this gathering is like a joke set-up: "How many mathematicians does it take to understand a remark by Jacob Lurie?"

then again, my least favourite thing is c++ dev. it is like juggling nitro enhanced chain saws in the dark on crutches.

perhaps it's a cofiltered limits type beat

I See, anti-capitalism✊🏼

this feels like a bit too much smoke over nothing

I write $\text{arcexp}$ instead of $\log$

hi sorry to bother. has anyone any feedback on my question here... a nudge a comment anything :) math.stackexchange.com/questions/5019883/…

> S. Lefschetz was born in Moscow and educated in Paris. After working for some years in industry, he turned to mathematics (following an industrial accident in which he lost both hands)

I feel I'm too addicted, maybe I should take a break

hopefully the fires are not impacting @leslietownes...

introduction just means that. let me introduce you to my pet lion

left to the reader

The point, @nickbros123, is that the goal is to really internalize the mathematics, and that doesn't happen from reading alone.

learning math is always incredibly taxing

i love math

this is something that very roughly separates introductory algebra from introductory analysis, if there is a hypothesis in an intro algebra book it is more likely to be there for some "real" reason other than convenience

you're not a professor, but you're still the goat

that's rude

@leslietownes my religious belief is Grothendieckism obviously

I would disagree if this weren't true

its all a Lie

i would encourage students of this kind of thing to be inclined to see little or no difference between "using asymptotics" and something like stewart's limit comparison test. i think of them as the same thing in different languages

i find web stuff hard to work with. too many things going on, and little visibility. plus you have to learn a million sidetrack things, apache, flask, node, etc, etc