Crossposted from the AI Alignment Forum. May contain more technical jargon than usual.
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Everyone disagrees, but Thomas Larsen has now answered this here in a way I'm satisfied with.

The ones with actual math. 

1Alexander Gietelink Oldenziel1y
Although good alignment research has been done that does not involve maths [e.g. here and here ] good math* remains the best high-level proxy of nontrivial, substantive, deep ideas that will actually add up to durable knowledge. *what distinguishes good math from bad math? that's a tricky question that requires a strong inside view. 
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Stampy has a list of some of them (and welcomes additions or corrections on the wiki entry!).