/sci/ - Science & Math

>>8272490
best for what?

algebraic geometry research is pretty saturated, but there are certainly still directions to research and conjectures to be solved

>>8272490
Depends what you mean by "best".
If you mean the most money, financial maths, stochastic processes, data mining are gold mines
If you don't care about money, the best is the one you enjoy the most

>>8272494
Well, I don't really know what categories I would weigh this by. I just want to study math and have a fine life while doing it.

>>8272496
Don't really care about money, but I'm not an overly competitive person. How do I find out what I like best. I doubt I can seriously dive into all of the possible subjects by the time I apply to graduate school (this winter).

>>8272501
Well,what math modules did you like at undergrad?
Which ones did you do well in?
You're much more likely to get into grad school if you spanked a few modules in a particular branch

>>8272505
Spanked topology and did well in algebra, haven't taken analysis yet and I'm taking algebra at a graduate level next year. My best letters of rec will be from topologists probably. I'm actually studying under a topologist/knot theorist right now and I got an A+ in his class so, that should be good.

I like topology and algebra, but I haven't taken analysis so I can't really comment.

>>8272490
If I were you I'd study an area I find interesting, and (try to) solve some problems. Ask yourself what you know well and take it from there...

>>8272501
>I don't really know what categories I would weigh this by.
>>8272505
>Well,what math modules did you like at undergrad?

My brian is so fucked

>>8272490
Are you applying for Masters or PhD?

>>8273297
PhD

>>8274096
OK then my answer to your question is: None. Speaking as someone who spent 2 years in a top-tier math PhD program before dropping out, it's not an intellectual odyssey as much as vocational training for the job of (in your case) Professor of Algebraic Geometry. Maybe you're absolutely sure that's the perfect job for you, and in that case more power to you, but the fact that you're asking what branch is "best" on a Greenlandian spaghetti weaving forum leads me to suspect this is not the case. Some people (like Erdos) wake up every morning thinking about math, but far more people (like me) drift into PhD programs due to some mixture of interest, vague ideas about prestige, and lack of desire to get a real job.

Really be honest with yourself about what you are hoping to get out of a PhD program. If you had a "real" job, would you spend all your free time thinking about perverse sheaves (or whatever)?

That said, I don't know your situation so feel free to disregard everything I said. But there are more things in heaven and earth than dreamed of in the EGA, and don't take the decision lightly.

>>8272571
kek, same. had to reanalyze sentences.

>>8272490
Non math major here. Does any of that actually mean anything, or is it just the math equivalent of technobabble?

>>8272490
Stochastic Calculus or PDEs.

>>8274510
yeah it's all real math

>>8274484
>prestige
lol, you are a moron. I don't even know where this meme comes from. Mathematicians are barely even respected in modern culture where do you get the idea that there is any prestige involved.

I bet this nigga would day dream about people letting him cut ahead in line once they learned he was a prestigious mathematician.

>He doesnt study combinatorics

>>8272490
kek there is only one serious branch:

elephantine harmonics

>>8274484
>far more people (like me) drift into PhD programs due to some mixture of interest, vague ideas about prestige, and lack of desire to get a real job.

TOO CLOSE TO HOME

>>8272490
you have done an undergrad degree - you should know which areas interest you