> resistance will fail utterly as long as AI itself can understand prior AI works
That's not the issue in the long term. Look further: where did these questions come from? They came from humans who had been exploring mathematics and noticed interesting patterns that cropped up again and again.
The people who posed these questions had a profound understanding of the background maths that led to them. Me - I don't. Take one of the results he quotes: "Positive solution to the Unitary Synthesis Problem". He may as well be one of your alien races yabbering to me in an alien language. The question is meaningless to me. The answer the AI came up with, correct though it may be, is equally meaningless. You may as well have told my dog how to find eigenvalues.
If we let AIs do all the understanding so we know nothing about math, there will be no human understanding that lets us find new questions, or understand the value of any questions AI might pose and find the answers to.