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How to find math research topic that is open-ended, rather than fancy conjectures?

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You solved a famous conjecture as an independent researcher?
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You are probably mistaken.
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I have seen a lot of people that talk exactly like this. Most of them are engineers, some of them are physicists, some of them are random people with no formation or relevant knowledge.

The referees will probably refuse their work and they will say they are being persecuted.
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What do you mean by open ended?

I mean if I got it, about every topic can be open ended, just pick a random subject, read recent thesis on the subject and try to go deeper or generalise it
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Which conjecture, please elaborate?
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What conjectures have you settled? It's kinda hard to take what you say seriously without some basis for the type of problems you've worked on.
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Let’s see those solutions
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You need to find a particular field and then find a particular researcher whose work you find interesting. Then read some of their papers and then read some the related cited papers. The more papers you read, the more opportunities you will find for improvements.
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Every research topics can be open ended, even the conjectures. U just have to keep creating and ask new questions instead of solving other people's question.
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Its not quite a math field. But deep learning is always looking for people who can mathematically explain why some things work so well.

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