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

http://www.math.ias.edu/~rtaylor/longicm02.pdf
demanding black woman
  10/21/15
...
razzle goal in life
  10/21/15
then explain this, shitlib https://en.wikipedia.org/wiki/...
demanding black woman
  10/21/15
That's like first year graduate stuff.
plum partner
  10/21/15
so pretty basic? What is like the most advanced theoretical ...
demanding black woman
  10/21/15
It's not hard to explain what an automorphic form is and why...
plum partner
  10/21/15
interesting... Is Godel's Incompleteness theorem credited in...
demanding black woman
  10/21/15
Yeah it's dope. Cohen's work on forcing and independence is ...
plum partner
  10/21/15
Nice need to look that up. What do you think of the fundamen...
demanding black woman
  10/21/15
180 never change
Magical Amethyst Foreskin
  10/21/15
his shtick literally sucks
red sound barrier
  10/21/15
faggot
gay ceo
  11/26/15
cr. understanding this would take the average 135-iq bro abo...
opaque puppy depressive
  10/22/15
...
razzle goal in life
  10/21/15
...
plum partner
  10/21/15
The key point here is that there is no reference to a topol...
demanding black woman
  10/21/15
That's just representation theory bro
plum partner
  10/21/15
What is the central purpose or aim of representation theory?...
demanding black woman
  10/21/15
Figure out how to embed abstract groups into matrix groups.
plum partner
  10/21/15
can you explain this? In mathematics, parabolic inductio...
demanding black woman
  10/21/15
Explain it? I can barely pronounce it. (When I was young,...
Cruel-hearted frum base regret
  10/21/15
why do this? b/c matrices are more intuitive than groups?
Hot Station
  11/11/15
Matrix groups were the original physics context where this s...
plum partner
  11/26/15
...
demanding black woman
  10/22/15
...
demanding black woman
  11/03/15
...
demanding black woman
  11/11/15
Don't underestimate being part of the community. Like legale...
Swollen old irish cottage school cafeteria
  10/21/15
Good point. How does one acquire an appreciation for math th...
demanding black woman
  10/21/15
Interest in mathematics seems to become relevant early in co...
Swollen old irish cottage school cafeteria
  10/21/15
good point...Do you think String Theory and the whole approp...
demanding black woman
  10/21/15
No idea man
Swollen old irish cottage school cafeteria
  10/21/15
what's the most advanced/complicated math u took in college,...
demanding black woman
  10/21/15
Linear algebra
Swollen old irish cottage school cafeteria
  10/21/15
nice. rate how prestigious this resume is.. http://www.cmi....
demanding black woman
  10/21/15
I rate it virgin math nerd
Swollen old irish cottage school cafeteria
  10/21/15
Given any seventeen integers, show that there is at least on...
demanding black woman
  10/21/15
Go mod 9 brother
plum partner
  11/27/15
...
demanding black woman
  10/21/15
Ewww, turdskin.
Cruel-hearted frum base regret
  10/22/15
It's real nice, man.
Violent laughsome menage hissy fit
  10/22/15
...
demanding black woman
  10/21/15
I couldn't understand that material if my life depended on i...
Tripping market dingle berry
  10/21/15
AN times E equals ABN A=1 B=5 E=3 N=0 A. True B. Fal...
demanding black woman
  10/21/15
False
Tripping market dingle berry
  10/21/15
nice brother. try this one What is 5349 to the third p...
demanding black woman
  10/21/15
true
Chartreuse Sinister Heaven Sandwich
  10/21/15
justify your answer, shitlib
demanding black woman
  10/21/15
they both seem to be multiplying by 0, which would result in...
Chartreuse Sinister Heaven Sandwich
  10/21/15
no man,
demanding black woman
  10/21/15
explain
Chartreuse Sinister Heaven Sandwich
  10/21/15
yes you can. this mentality re: stem will be the downfall of...
opaque puppy depressive
  10/22/15
math is just like walking up steps
Chartreuse Sinister Heaven Sandwich
  10/21/15
I stopped after the first word not flame
bull headed public bath
  10/21/15
https://www.physics.harvard.edu/uploads/files/undergrad/prob...
demanding black woman
  10/21/15
...
demanding black woman
  10/21/15
Advanced Mathematics Ph.D here, taking ANY AND ALL QUESTIONS
carnelian elite lay
  10/21/15
answer this: https://www.physics.harvard.edu/uploads/file...
demanding black woman
  10/21/15
This circulated by e-mail throughout the department when I w...
carnelian elite lay
  10/21/15
Here's the solution. Where's the joke? https://www.physic...
white excitant background story location
  10/21/15
thats like a first year physics problem lol
gay ceo
  11/26/15
what type of jerb do you do
Chartreuse Sinister Heaven Sandwich
  10/21/15
Currently Seeking My Next Opportunity
carnelian elite lay
  10/21/15
sup Pensive.
jade potus
  10/22/15
(exactly who you thought the op would be)
gay ceo
  11/26/15
...
Peach Heady Box Office
  11/27/15
a lot of it is knowledge based. it's amazing how little is p...
Contagious Fiercely-loyal Rigpig Hospital
  11/27/15
just have a good working memory, solid deductive reasoning, ...
dull stirring voyeur juggernaut
  11/27/15
not to sound prole but what is any of this shit useful for? ...
Puce Trailer Park Lettuce
  11/27/15
...
demanding black woman
  11/27/15


Poast new message in this thread



Reply Favorite

Date: October 21st, 2015 10:55 AM
Author: demanding black woman

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: razzle goal in life



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



Reply Favorite

Date: October 21st, 2015 10:57 AM
Author: demanding black woman

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: plum partner

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: demanding black woman

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: plum partner

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: demanding black woman

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: plum partner

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: demanding black woman

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: Magical Amethyst Foreskin

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: red sound barrier

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: gay ceo

faggot

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



Reply Favorite

Date: October 22nd, 2015 3:26 AM
Author: opaque puppy depressive

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: razzle goal in life



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



Reply Favorite

Date: October 21st, 2015 10:56 AM
Author: plum partner



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



Reply Favorite

Date: October 21st, 2015 10:58 AM
Author: demanding black woman

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: plum partner

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: demanding black woman

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: plum partner

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: demanding black woman

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: Cruel-hearted frum base regret

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: Hot Station

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: plum partner

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: demanding black woman



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



Reply Favorite

Date: November 3rd, 2015 8:49 AM
Author: demanding black woman



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



Reply Favorite

Date: November 11th, 2015 5:25 PM
Author: demanding black woman



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



Reply Favorite

Date: October 21st, 2015 11:00 AM
Author: Swollen old irish cottage school cafeteria

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: demanding black woman

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: Swollen old irish cottage school cafeteria

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: demanding black woman

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: Swollen old irish cottage school cafeteria

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: demanding black woman

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: Swollen old irish cottage school cafeteria

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: demanding black woman

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: Swollen old irish cottage school cafeteria

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: demanding black woman

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: plum partner

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: demanding black woman



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



Reply Favorite

Date: October 22nd, 2015 7:16 AM
Author: Cruel-hearted frum base regret

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: Violent laughsome menage hissy fit

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: demanding black woman



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



Reply Favorite

Date: October 21st, 2015 11:04 AM
Author: Tripping market dingle berry

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: demanding black woman

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: Tripping market dingle berry

False

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



Reply Favorite

Date: October 21st, 2015 11:11 AM
Author: demanding black woman

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: Chartreuse Sinister Heaven Sandwich

true

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



Reply Favorite

Date: October 21st, 2015 11:13 AM
Author: demanding black woman

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: Chartreuse Sinister Heaven Sandwich

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: demanding black woman

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: Chartreuse Sinister Heaven Sandwich

explain

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



Reply Favorite

Date: October 22nd, 2015 3:23 AM
Author: opaque puppy depressive

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: Chartreuse Sinister Heaven Sandwich

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: bull headed public bath

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: demanding black woman

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: demanding black woman



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



Reply Favorite

Date: October 21st, 2015 12:14 PM
Author: carnelian elite lay

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: demanding black woman

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: carnelian elite lay

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: white excitant background story location

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: gay ceo

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: Chartreuse Sinister Heaven Sandwich

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: carnelian elite lay

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: jade potus

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: gay ceo

(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: Peach Heady Box Office



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



Reply Favorite

Date: November 27th, 2015 3:49 PM
Author: Contagious Fiercely-loyal Rigpig Hospital

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: dull stirring voyeur juggernaut

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: Puce Trailer Park Lettuce

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: demanding black woman



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