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/sci/ - Science & Math

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9717014 No.9717014 [Reply] [Original]

Why is algebra so much more popular than analysis? I know like one analyst for every 10 algebraists.

Is algebra just more active?

>> No.9717474

Well math has trends. At some point in the second half of the 19th century, analysis was very popular (people were working on complex analysis, modular forms, fourier analysis etc.)
In the beginning of the 20th century, there was increased interest algebraic geometry after the publication of works by Zariski and Weil etc, and it gained even more popularity with the works of Serre and Grothendieck and his students.
At that point, algebraic geometry and arithmetic geometry became the noblest thing to study, which is why you see so many more algebraists.
Now, at least in France where I am, probability is becoming increasingly attractive (both mathematical finance, and the more fundamental stuff: stochastic analysis, quantum information theory, random matrices etc.)

>> No.9717477

>>9717014
Can't compete with Terry Tao

>> No.9717481

what are some algebra jobs?

>> No.9717482
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9717482

>>9717014

>> No.9717623

>>9717474

Haven't the French always been pretty active in analysis?

>> No.9717628

>>9717623
french have been pretty active in virtually every area of mathematics. i am in france now and they have a really strong community for continuous optimization and convex analysis/variational analysis

>> No.9717651

>>9717474
>mathematical finance
B I G B R A I N D

>> No.9717657

>>9717482
can some big brained anon explain to me how the analytic expression represents the same thing as the geometric and algebraic things

>> No.9717697

>>9717657
second this

>> No.9717700

>>9717623
Sure, of course, but algebraic geometry and number theory have been seen as the be all and end all of math for a good 50 years. It's not that people weren't working in other areas, we have great examples (half our Fields medals went to analysts) but it has never felt as important.

Another thing I wanted to point out is that, even though algebraic geometry is extremely popular, I'm not sure that what I would call "pure" algebra (like pure commutative algebra, algebraic theory of quadratic forms, associative algebras etc.) is really more popular than analysis. These are the people I would call algebraists, and I'm not sure there's actually many of them (at least, here in France, it's not a very popular field).

>> No.9717748

>>9717482
>=0

It can't = 0 because 0 means there's nothing there when there obviously is something there.

>> No.9719258
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9719258

>>9717474
Hey based frenchman i'm studying math in france right now
Give me tips about how not to end up to pole emploi or teaching to literal kids

>> No.9719285

>>9717657
The solutions to the differential equation are precisely the non-degenerate conic sections

>> No.9719291
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9719291

>> No.9719327

>>9717014
Because we are full of jobless neets. Analysis is more aplicable.

>> No.9719366

>>9717481
Programming
>algebras become data structures
>functions remain functions

>> No.9719371

>>9719291
>papers stained by tears of frustration
so true lol

>> No.9719699

>>9717657
https://faculty.math.illinois.edu/~reznick/JMM11814approx.pdf
https://mathoverflow.net/questions/217719/differential-equation-of-conics

>> No.9719716

>>9717482
>Anlytical Geometry concept is less intuitive in a pure analytic setting
Whoaz makes you think. Regardless, the best characterisation is the polar equation after solving the kepler problem.

>> No.9719727
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9719727

>>9717748
It can =0. =0 just means its contained within a boundary and everything on the righthand side cancels out.

Think of a circle. If you start at the center and have a radius of 1, youll have a point (-1,0) and (1,0). Take as many opposite points youd like and add them together. They all cancel out and =0.

:D now u can into maths and ur not a brainlet anymore

>> No.9719739

>>9719258
Do very (very) well, transfer to UPMC as soon as possible, then do your M.S in either mathematical finance (El Karoui at UPMC), or data science (MVA at ENS Cachan). These are highly selective (many Polytechnique students end up there), but you will likely never have to look very far for jobs if you get in.
To maximize your chances, try to get into a magistere (at one of the ENS, Lyon I, Orsay or Rennes I). These will give you a good grounding.
TL;DR, learn data science or mathematical finance or algorithms (jointly with programming, but focus on pure algorithms)