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At this point it looks more like trolling. No mention of the operator theory. No general analysis no general algebra. ZERO math applied to physics (discretisation, stats).

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> general algebra

They've got a bunch of stuff on "number systems" and "group theory". Abstract algebra is basically the study of "number systems".

> Abstract algebra is basically the study of "number systems".

I don't think that's entirely correct.

> Abstract algebra is the set of advanced topics of algebra that deal with abstract algebraic structures rather than the usual number systems. The most important of these structures are groups, rings, and fields.

Groups, rings and fields are abstractions of what we normally call a "number system". I think my statement is correct. That, or we're debating vague terms.

Yes but that's far from enough, you need at least to study kernel ring and module and EV to go somewhere in math. No holomorphic functions, complex number quaternions... I'm also not sure on how you would do modern cosmology without studying connection, and differential geometry.

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