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Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
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What recent discoveries have amateur mathematicians made?
Kenneth A. Perko Jr. is a lawyer and an amateur topologist (with graduate-level training). In 1974 he found that two knots that were listed as separate knots in C. N. Little's "On knots, with a census …