Notice how it goes from "we proved Fields-medal level stuff" to "promising leads" when we go to the world of biology. Still awesome, but speaks to the limitations of pure thinking in a more applied subject. No automatic cancer cures today.
Cure cancer? The best we can do is promise that cancer will be cured at some undetermined date in the future if you pay trillions first. Have some deepfakes in the meantime.
Let's keep in mind though that mathematics is a sequence of logical inferences which doesn't fight against anything whereas a cure for cancer is a fight against errors and entropy.