thanks for your answer! the thing with mathematics is, i am coming from the wrong side, mainly economics and got into mathematics later on, so i think i might miss some skills in math if its gonna be a deep dive in mathematical cryptography, im sure there are a lot of smart real mathematicans working on that. (not saying i wouldnt be up for it!)
But i like the topic of choosing the right chain and connecting it this way, didnt think about that.
can you think of any topics related to "mathematical cryptography"? (something related to random number generating would also fit)
(one of my more economical idea is e.g. doing a math fairness analysis on bitcoin mining/distribution and what fairness properties it fullfills compared to traditional money)
Unfortunately I can't further assist you without spending too much of my time doing research as well. There are just a lot of areas and you're giving us way too many possible options. You need to concentrate your ideas into something meaningful. If I was doing something around cryptography, I would probably try doing something like
post quantum cryptography which could be of value in the future. You could mention Bitcoin in just about anything related to cryptography. Once you mention SHA256 you can mention Bitcoin as well.