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I am a undergraduate student pursuing a degree in mathematics and I hope to pursue graduate level studies and eventually be a professor. I have taken math classes through calculus. I am looking to read upper level maths to find out what I am interested in studying in the higher levels of math.

Can you please recommend subject matter, specific papers or books about higher level math that I may be interested in pursuing? I am not opposed to having to do some reading/research in order to understand the topic.

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    Wait, is this as vague as I think it is? :P That said, you should probably pursue what you're good at, because that's usually an indicator you like doing it.2012-04-23
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    http://math.stackexchange.com/questions/59486/advice-for-self-study, http://math.stackexchange.com/questions/56902/materials-for-self-study-problems-and-answers2012-04-23
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    I recommend accumulating a general knowledge of undergraduate mathematics before you figure out which particular higher math subject most interests you. If you're familiar with analysis you might want to try learning abstract algebra now.2012-04-23
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    Also, [how important is programming for mathematicans](http://math.stackexchange.com/questions/132042/how-important-is-programming-for-mathematicians/132095#132095)?2012-04-23

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