Does a
million dollars count as enough to live on? If she can make a proof for any of the remaining problems, she's mostly set for life. Even if the money itself isn't enough, it would come with tons of offers for being a professor.
I want to say no, but IIRC 7% is a good yearly return on investments, so if she invested
all of it immediately and never needed to take more out, she'd be getting 70k a year - equivalent to the average income with a decent degree.
Still, that's almost certainly not enough if she gets into any superhero shennanigans, and it's also not going to last long if she lives in america. She's entirely reliant on specialized doctors for medical care and I bet they don't take insurance; if she so much as stubs a toe then she can kiss that money
goodbye.
It seems entirely plausible that new areas of mathematics were generated to solve FTL travel that in no way assist with proving or disproving the collatz conjecture.
Actually, while it's probably a question that a lot of
other people can answer too, she could probably make quite a lot by answering that well-worn question: "How do you travel faster than light?"
It seems like "contemporary" physics are generally the same in the DC verse, and then all these super-geniuses come along and shatter it into pieces, and anyone who isn't a hyperintellect just shrugs and ignores it.
For example, as we understand it, basically every minutia of our understanding of physics is
screaming "NO FTL! NEVER! NEVER NEVER NEVER NE- okay fine wormholes, but you gotta get them there the
slow way first and GOOD LUCK PRODUCING NEGATIVE ENERGY!". On the other hand, OL has data on so many different methods of FTL travel that there's actually a list to choose from. A
long list, with many variations in method, practicality, and difficulty.
So, clearly in the DC verse scientists are probably
very wrong about how the universe actually works, especially considering that a entire
aspect of reality, 'magic', is also completely ignored. So literally anyone from any society which has developed a more accurate model, I.E.
any civilization with FTL, could probably bring about revolutionary discoveries with even a cursory overview of how things actually work.