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What kind of grassroot higher math knowledge is required to understand quantum resistant encryption methods? > A fine list of the topics that needs to be understood to know this would be fine.(USER WAS WARNED FOR THIS POST, You should always elaborate on your opinions rather than just spilling the soykaf.)

There are two kinds of quantum-safe asymmetric encryption schemes: stateful and stateless. Stateful systems are much more secure but have *many* drawbacks. They are generally based on primitives like Winternitz One-Time Signatures, anyone with a baseline of cryptography knowledge could understand the basic idea. There is also SPHINCS, which uses the same basic idea but claims to be stateless. Most stateless systems are based on some variant of "Learning With Errors" which means that you are learning some kind of abstract algebraic structure, such as a lattice or a module. So at the very least you'll need to understand some abstract algebra and information theory. I do know a little of both of those things but I can't say I understand how the cryptographic schemes work. NIST has collected a lot of information about their selected algorithms, and they all have websites created by the authors too. https://csrc.nist.gov/Projects/post-quantum-cryptography/selected-algorithms-2022