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What general would an undergraduate look to do in terms of research

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What general would an undergraduate look to do in terms of research opportunities in mathematics?
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>>8729574

*in general
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>>8729574
I'm interested in this.
Asking a professor you like wouldn't hurt, I guess.
>>
You missed the deadline for the mathematics REU's this year, but you should be able to hit them up next year. Google them.
>>
We don't know you at all. Ask a professor
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>>8729586

In general though. What kind of work entails 'mathematical research'.
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>>8729589
It varies wildly. Ask a professor with whom you're interested on working.
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>>8729574
Start researching something /very/ specific. You may find something that's golden, and if you don't, hey, at least you learned something. I got published as an undergraduate in a journal that's top 10 because of this. Just remember that it's really taxing and that your grades may fall because of it.
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>>8729594

How abstract should I look? I don't have much in terms of abstract algebra or analysis under my belt, which is why I'm concerned.
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>>8729598
try to figure out how to n-sect an angle
that ought to keep you busy for awhile
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>>8729608

Any arbitrarily drawn angle in two dimension? Does the problem hold for n-D
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>>8729598
I don't know, I was very lucky. I had it 'click' one night that there's something that appeared to be a paradox, so I naturally assumed I'm misunderstanding something. After reading for like seven months on the subject I was sure that it was overlooked and I solved it. Why do you want to publish as an undergraduate? Despite doing so myself I was unsure if everything in the paper's alright until my professor green-lit it. I still feel ashamed because of that.
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>>8729574
1. Find a math professor you like
2. Go look at his research areas
3. Go read his publications, his students applications
4. If you're still interested ask him for a research position
Some professor's know exactly how to use you.
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>>8729581

Can you explain what that means to someone who has never been introduced to this?
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>>8729742
http://www.ams.org/programs/students/emp-reu
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