Lately I’ve been obsessing over the Wikipedia article List of unsolved problems in mathematics
It seems that these problems aren’t just any other problem; they seem hard, challenging, and important to their respective domains. Amongst these problems, in the algebra section two links are provided to documents that provide hundreds of unresolved problems in algebra from Russia. While each of these problems can be cited, it seems that it would be almost impossible to find out for certain which ones are solved and which ones are not.
As someone interested in a career as a mathematician, I’ve always wondered how one explores these problems and decides which ones to solve. And if they don’t go with one of the problems already provided and laid out by the mathematical community, how do they ensure that their work is new and will advance our understanding? Any insight or experience?
Thanks!
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from math https://ift.tt/3gxoE7w
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