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ADVANCED MATHEMATICS IS INCREDIBLY COMPLEX--HOW DO PEOPLE EVEN FATHOM THIS STUFF

http://www.math.ias.edu/~rtaylor/longicm02.pdf
Appetizing people who are hurt
  10/21/15
...
Mauve Glittery Lay Sweet Tailpipe
  10/21/15
then explain this, shitlib https://en.wikipedia.org/wiki/...
Appetizing people who are hurt
  10/21/15
That's like first year graduate stuff.
titillating theater stage
  10/21/15
so pretty basic? What is like the most advanced theoretical ...
Appetizing people who are hurt
  10/21/15
It's not hard to explain what an automorphic form is and why...
titillating theater stage
  10/21/15
interesting... Is Godel's Incompleteness theorem credited in...
Appetizing people who are hurt
  10/21/15
Yeah it's dope. Cohen's work on forcing and independence is ...
titillating theater stage
  10/21/15
Nice need to look that up. What do you think of the fundamen...
Appetizing people who are hurt
  10/21/15
180 never change
sooty dashing library old irish cottage
  10/21/15
his shtick literally sucks
silver rigor property
  10/21/15
faggot
excitant kitchen
  11/26/15
cr. understanding this would take the average 135-iq bro abo...
Chrome deep foreskin jewess
  10/22/15
...
Mauve Glittery Lay Sweet Tailpipe
  10/21/15
...
titillating theater stage
  10/21/15
The key point here is that there is no reference to a topol...
Appetizing people who are hurt
  10/21/15
That's just representation theory bro
titillating theater stage
  10/21/15
What is the central purpose or aim of representation theory?...
Appetizing people who are hurt
  10/21/15
Figure out how to embed abstract groups into matrix groups.
titillating theater stage
  10/21/15
can you explain this? In mathematics, parabolic inductio...
Appetizing people who are hurt
  10/21/15
Explain it? I can barely pronounce it. (When I was young,...
Galvanic stage clown
  10/21/15
why do this? b/c matrices are more intuitive than groups?
Cerebral telephone ticket booth
  11/11/15
Matrix groups were the original physics context where this s...
titillating theater stage
  11/26/15
...
Appetizing people who are hurt
  10/22/15
...
Appetizing people who are hurt
  11/03/15
...
Appetizing people who are hurt
  11/11/15
Don't underestimate being part of the community. Like legale...
diverse khaki church
  10/21/15
Good point. How does one acquire an appreciation for math th...
Appetizing people who are hurt
  10/21/15
Interest in mathematics seems to become relevant early in co...
diverse khaki church
  10/21/15
good point...Do you think String Theory and the whole approp...
Appetizing people who are hurt
  10/21/15
No idea man
diverse khaki church
  10/21/15
what's the most advanced/complicated math u took in college,...
Appetizing people who are hurt
  10/21/15
Linear algebra
diverse khaki church
  10/21/15
nice. rate how prestigious this resume is.. http://www.cmi....
Appetizing people who are hurt
  10/21/15
I rate it virgin math nerd
diverse khaki church
  10/21/15
Given any seventeen integers, show that there is at least on...
Appetizing people who are hurt
  10/21/15
Go mod 9 brother
titillating theater stage
  11/27/15
...
Appetizing people who are hurt
  10/21/15
Ewww, turdskin.
Galvanic stage clown
  10/22/15
It's real nice, man.
laughsome hideous degenerate new version
  10/22/15
...
Appetizing people who are hurt
  10/21/15
I couldn't understand that material if my life depended on i...
umber adventurous pistol piazza
  10/21/15
AN times E equals ABN A=1 B=5 E=3 N=0 A. True B. Fal...
Appetizing people who are hurt
  10/21/15
False
umber adventurous pistol piazza
  10/21/15
nice brother. try this one What is 5349 to the third p...
Appetizing people who are hurt
  10/21/15
true
Pungent self-centered national knife
  10/21/15
justify your answer, shitlib
Appetizing people who are hurt
  10/21/15
they both seem to be multiplying by 0, which would result in...
Pungent self-centered national knife
  10/21/15
no man,
Appetizing people who are hurt
  10/21/15
explain
Pungent self-centered national knife
  10/21/15
yes you can. this mentality re: stem will be the downfall of...
Chrome deep foreskin jewess
  10/22/15
math is just like walking up steps
Pungent self-centered national knife
  10/21/15
I stopped after the first word not flame
Wild racy market
  10/21/15
https://www.physics.harvard.edu/uploads/files/undergrad/prob...
Appetizing people who are hurt
  10/21/15
...
Appetizing people who are hurt
  10/21/15
Advanced Mathematics Ph.D here, taking ANY AND ALL QUESTIONS
Irradiated hospital
  10/21/15
answer this: https://www.physics.harvard.edu/uploads/file...
Appetizing people who are hurt
  10/21/15
This circulated by e-mail throughout the department when I w...
Irradiated hospital
  10/21/15
Here's the solution. Where's the joke? https://www.physic...
crimson arousing wrinkle
  10/21/15
thats like a first year physics problem lol
excitant kitchen
  11/26/15
what type of jerb do you do
Pungent self-centered national knife
  10/21/15
Currently Seeking My Next Opportunity
Irradiated hospital
  10/21/15
sup Pensive.
Vivacious french theatre cumskin
  10/22/15
(exactly who you thought the op would be)
excitant kitchen
  11/26/15
...
aqua hairraiser trump supporter
  11/27/15
a lot of it is knowledge based. it's amazing how little is p...
Supple temple
  11/27/15
just have a good working memory, solid deductive reasoning, ...
jade cracking brunch karate
  11/27/15
not to sound prole but what is any of this shit useful for? ...
Histrionic Tan Center Ladyboy
  11/27/15
...
Appetizing people who are hurt
  11/27/15


Poast new message in this thread



Reply Favorite

Date: October 21st, 2015 10:55 AM
Author: Appetizing people who are hurt

http://www.math.ias.edu/~rtaylor/longicm02.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012847)



Reply Favorite

Date: October 21st, 2015 10:56 AM
Author: Mauve Glittery Lay Sweet Tailpipe



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012853)



Reply Favorite

Date: October 21st, 2015 10:57 AM
Author: Appetizing people who are hurt

then explain this, shitlib

https://en.wikipedia.org/wiki/Automorphic_form

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012873)



Reply Favorite

Date: October 21st, 2015 10:58 AM
Author: titillating theater stage

That's like first year graduate stuff.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012876)



Reply Favorite

Date: October 21st, 2015 10:59 AM
Author: Appetizing people who are hurt

so pretty basic? What is like the most advanced theoretical mathematical concepts studied or talked about in the field today?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012884)



Reply Favorite

Date: October 21st, 2015 11:01 AM
Author: titillating theater stage

It's not hard to explain what an automorphic form is and why we care about them. Proving stuff about them is the hard part.

Algebraic topology, algebraic geometry in general. mirror symmetry, geometric rep theory, langlands program, etc are all considered hard.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012898)



Reply Favorite

Date: October 21st, 2015 11:04 AM
Author: Appetizing people who are hurt

interesting... Is Godel's Incompleteness theorem credited in your opinion?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012918)



Reply Favorite

Date: October 21st, 2015 11:06 AM
Author: titillating theater stage

Yeah it's dope. Cohen's work on forcing and independence is dope too.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012936)



Reply Favorite

Date: October 21st, 2015 11:09 AM
Author: Appetizing people who are hurt

Nice need to look that up. What do you think of the fundamental theorem of calculus, that a limit and a derivative are essentially the flip side of each other? can u elaborate on it

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012952)



Reply Favorite

Date: October 21st, 2015 11:14 AM
Author: sooty dashing library old irish cottage

180 never change

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012986)



Reply Favorite

Date: October 21st, 2015 11:17 AM
Author: silver rigor property

his shtick literally sucks

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013001)



Reply Favorite

Date: November 26th, 2015 6:42 PM
Author: excitant kitchen

faggot

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258202)



Reply Favorite

Date: October 22nd, 2015 3:26 AM
Author: Chrome deep foreskin jewess

cr. understanding this would take the average 135-iq bro about two years of UG math. FATHOMING it and being able to prove it....that might take a bit more

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019914)



Reply Favorite

Date: October 21st, 2015 11:09 AM
Author: Mauve Glittery Lay Sweet Tailpipe



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012951)



Reply Favorite

Date: October 21st, 2015 10:56 AM
Author: titillating theater stage



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012855)



Reply Favorite

Date: October 21st, 2015 10:58 AM
Author: Appetizing people who are hurt

The key point here is that there is no reference

to a topology on E, indeed no assumption that E is a topological field. Given r there are up to isomorphism only finitely many choices for the pair (r, N) and

these can be explicitly listed without difficulty. A WD-representation (r, N) is called unramified if N = 0 and r(IQp) = {1}. It is called Frobenius semi-simple if

r is semi-simple. Any WD-representation (r, N) has a canonical Frobenius semisimplification (r, N)

ss, which may be defined as follows. Pick a lift φ of Frobp to WQp and decompose r(φ) = ΦsΦu = ΦuΦs where Φs is semi-simple and Φu is unipotent.

The semi-simplification (r, N) ss is obtained by keeping N and r|Ip unchanged and replacing r(φ) by Φs. In the case that E = Ql we call (r, N) l-integral if all the

eigenvalues of r(φ) have absolute value 1. This is independent of the choice of Frobenius lift φ.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012878)



Reply Favorite

Date: October 21st, 2015 10:59 AM
Author: titillating theater stage

That's just representation theory bro

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012882)



Reply Favorite

Date: October 21st, 2015 11:00 AM
Author: Appetizing people who are hurt

What is the central purpose or aim of representation theory?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012891)



Reply Favorite

Date: October 21st, 2015 11:04 AM
Author: titillating theater stage

Figure out how to embed abstract groups into matrix groups.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012916)



Reply Favorite

Date: October 21st, 2015 11:15 AM
Author: Appetizing people who are hurt

can you explain this?

In mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups.

If G is a reductive algebraic group and P=MAN is the Langlands decomposition of a parabolic subgroup P, then parabolic induction consists of taking a representation of MA, extending it to P by letting N act trivially, and inducing the result from P to G.



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012992)



Reply Favorite

Date: October 21st, 2015 7:41 PM
Author: Galvanic stage clown

Explain it? I can barely pronounce it.

(When I was young, very young, they told me I was very smart. They lied.)

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29017039)



Reply Favorite

Date: November 11th, 2015 8:14 PM
Author: Cerebral telephone ticket booth

why do this? b/c matrices are more intuitive than groups?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29162174)



Reply Favorite

Date: November 26th, 2015 6:36 PM
Author: titillating theater stage

Matrix groups were the original physics context where this stuff first appeared iitc.

Group theory usually refers to the study of groups in the abstract, separate from their representations. The point is that the theory is cleaner if you separate the intrinsic properties of a group (the ones that do not depend on a specific representation has a matrix group) from the ones that aren't intrinsic.

Essentially a divide and conquer approach.

You see the same principle in geometry (manifolds are defined abstractly but then embedded into Euclidean space) and algebraic geometry (brill-noether theory).

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258184)



Reply Favorite

Date: October 22nd, 2015 8:29 AM
Author: Appetizing people who are hurt



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020376)



Reply Favorite

Date: November 3rd, 2015 8:49 AM
Author: Appetizing people who are hurt



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29100178)



Reply Favorite

Date: November 11th, 2015 5:25 PM
Author: Appetizing people who are hurt



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29160993)



Reply Favorite

Date: October 21st, 2015 11:00 AM
Author: diverse khaki church

Don't underestimate being part of the community. Like legalese is incomprehensible to someone who hasn't become part of the system. A lot of it is definitions that are phrased with incredible specificity that are learnable with prolonged exposure. But intelligence is also important, as is interest

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012887)



Reply Favorite

Date: October 21st, 2015 11:03 AM
Author: Appetizing people who are hurt

Good point. How does one acquire an appreciation for math though? for this advanced stuff.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012913)



Reply Favorite

Date: October 21st, 2015 11:06 AM
Author: diverse khaki church

Interest in mathematics seems to become relevant early in college when you find your niche. I don't think it's terribly easy to generate an appreciation without that kind of devotion.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012940)



Reply Favorite

Date: October 21st, 2015 11:13 AM
Author: Appetizing people who are hurt

good point...Do you think String Theory and the whole appropriation of the Calabi-Yau manifold is flame or is it nice?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012983)



Reply Favorite

Date: October 21st, 2015 11:21 AM
Author: diverse khaki church

No idea man

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013029)



Reply Favorite

Date: October 21st, 2015 11:23 AM
Author: Appetizing people who are hurt

what's the most advanced/complicated math u took in college, shitlib?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013041)



Reply Favorite

Date: October 21st, 2015 11:24 AM
Author: diverse khaki church

Linear algebra

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013044)



Reply Favorite

Date: October 21st, 2015 11:25 AM
Author: Appetizing people who are hurt

nice. rate how prestigious this resume is..

http://www.cmi.ac.in/~asengupta/cv.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013050)



Reply Favorite

Date: October 21st, 2015 11:26 AM
Author: diverse khaki church

I rate it virgin math nerd

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013061)



Reply Favorite

Date: October 21st, 2015 11:28 AM
Author: Appetizing people who are hurt

Given any seventeen integers, show that there is at least one subset of nine integers whose sum is divisible by 9.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013076)



Reply Favorite

Date: November 27th, 2015 3:44 PM
Author: titillating theater stage

Go mod 9 brother

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262224)



Reply Favorite

Date: October 21st, 2015 3:46 PM
Author: Appetizing people who are hurt



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015416)



Reply Favorite

Date: October 22nd, 2015 7:16 AM
Author: Galvanic stage clown

Ewww, turdskin.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020235)



Reply Favorite

Date: October 22nd, 2015 8:38 AM
Author: laughsome hideous degenerate new version

It's real nice, man.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020409)



Reply Favorite

Date: October 21st, 2015 3:15 PM
Author: Appetizing people who are hurt



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015146)



Reply Favorite

Date: October 21st, 2015 11:04 AM
Author: umber adventurous pistol piazza

I couldn't understand that material if my life depended on it.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012920)



Reply Favorite

Date: October 21st, 2015 11:07 AM
Author: Appetizing people who are hurt

AN times E equals ABN A=1 B=5 E=3 N=0

A.

True

B.

False

try this question

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012942)



Reply Favorite

Date: October 21st, 2015 11:09 AM
Author: umber adventurous pistol piazza

False

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012950)



Reply Favorite

Date: October 21st, 2015 11:11 AM
Author: Appetizing people who are hurt

nice brother.

try this one

What is 5349 to the third power equals

A.

28,611,805

B.

28,610,803

C.

28,613,800

D.

28,611,801



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012970)



Reply Favorite

Date: October 21st, 2015 11:11 AM
Author: Pungent self-centered national knife

true

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012969)



Reply Favorite

Date: October 21st, 2015 11:13 AM
Author: Appetizing people who are hurt

justify your answer, shitlib

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012978)



Reply Favorite

Date: October 21st, 2015 11:16 AM
Author: Pungent self-centered national knife

they both seem to be multiplying by 0, which would result in 0

doesn't "AN" mean A times N?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012996)



Reply Favorite

Date: October 21st, 2015 11:21 AM
Author: Appetizing people who are hurt

no man,

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013024)



Reply Favorite

Date: October 21st, 2015 11:23 AM
Author: Pungent self-centered national knife

explain

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013043)



Reply Favorite

Date: October 22nd, 2015 3:23 AM
Author: Chrome deep foreskin jewess

yes you can. this mentality re: stem will be the downfall of the white race

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019905)



Reply Favorite

Date: October 21st, 2015 11:10 AM
Author: Pungent self-centered national knife

math is just like walking up steps

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012960)



Reply Favorite

Date: October 21st, 2015 11:30 AM
Author: Wild racy market

I stopped after the first word not flame

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013089)



Reply Favorite

Date: October 21st, 2015 11:31 AM
Author: Appetizing people who are hurt

https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013097)



Reply Favorite

Date: October 21st, 2015 12:07 PM
Author: Appetizing people who are hurt



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013354)



Reply Favorite

Date: October 21st, 2015 12:14 PM
Author: Irradiated hospital

Advanced Mathematics Ph.D here, taking ANY AND ALL QUESTIONS

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013437)



Reply Favorite

Date: October 21st, 2015 12:14 PM
Author: Appetizing people who are hurt

answer this:

https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013448)



Reply Favorite

Date: October 21st, 2015 12:16 PM
Author: Irradiated hospital

This circulated by e-mail throughout the department when I was a visiting lecturer at Harvard. It was an April Fool's joke. LJL

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013454)



Reply Favorite

Date: October 21st, 2015 8:25 PM
Author: crimson arousing wrinkle

Here's the solution. Where's the joke?

https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol57.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29017289)



Reply Favorite

Date: November 26th, 2015 6:38 PM
Author: excitant kitchen

thats like a first year physics problem lol

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258193)



Reply Favorite

Date: October 21st, 2015 12:16 PM
Author: Pungent self-centered national knife

what type of jerb do you do

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013456)



Reply Favorite

Date: October 21st, 2015 12:17 PM
Author: Irradiated hospital

Currently Seeking My Next Opportunity

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013464)



Reply Favorite

Date: October 22nd, 2015 3:24 AM
Author: Vivacious french theatre cumskin

sup Pensive.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019911)



Reply Favorite

Date: November 26th, 2015 6:36 PM
Author: excitant kitchen

(exactly who you thought the op would be)

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258186)



Reply Favorite

Date: November 27th, 2015 3:48 PM
Author: aqua hairraiser trump supporter



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262240)



Reply Favorite

Date: November 27th, 2015 3:49 PM
Author: Supple temple

a lot of it is knowledge based. it's amazing how little is pure IQ in this shitworld

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262243)



Reply Favorite

Date: November 27th, 2015 4:11 PM
Author: jade cracking brunch karate

just have a good working memory, solid deductive reasoning, powerful pattern recognition and high spatial ability bro. then study for hours per day.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262305)



Reply Favorite

Date: November 27th, 2015 4:27 PM
Author: Histrionic Tan Center Ladyboy

not to sound prole but what is any of this shit useful for? a lot of high-level math frankly seems masturbatory. I guess group theory is useful for crypto and encodings.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262366)



Reply Favorite

Date: November 27th, 2015 7:44 PM
Author: Appetizing people who are hurt



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29263279)