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I have no idea about research in mathematics: How will mathematicians judge what constitutes new conceptual math that is actually useful, vs a hallucination that might be novel but doesn't introduce anything actual meaningful?

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It’s basically up to the domain experts. What I found interesting in mathematical optimization/combinatorics (my fields of interest) when an AI proved some major results some time ago was probably dismissed as a boring fact by someone else. What OP is mentioning is just their personal preference and doesn’t reflect the actual opinion of the mathematical world.

> What OP is mentioning is just their personal preference and doesn’t reflect the actual opinion of the mathematical world.

Indeed, I never claim that my idiosyncrasies represent math at large.

Same as when humans do it.

Human mathematicians frequently introduce new pointless abstractions just to churn out papers. And they are not accepted in serious journals, but they sometimes find a place in some mediocre or bad journal.

Of course, AI will increase this phenomenon manifold.

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