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For instance, the Poincaré conjecture has been proved; it is no longer a conjecture. It is now a known fact the only bounded 3-manifold without boundary and with a trivial homotopy group is a 3-sphere. This is also a Millennium Problem.

Some of the topics listed in the diagram after “Serious math” are part of an undergrad curriculum. Everything listed under “Genius”, down to the last section, are fairly standard grad school topics.

Some of the stuff at the very bottom is not really a thing, like “poly-dimensional topology”. “Random sequence extrapolation” carries a lot of unstated context in the diagram. “System entropy deconvolution” may sound ominous, but again, there is a lot of unstated context.