>>11310919To provide an actual answer, look into functional analysis, representation theory, and to a lesser extent model theory. A few key ideas here are "group representations", "automorphism groups", "permutation groups", and "slow theorems". Really its a huge area of math that has close connections to everything from boolean algebra and logic to quantum field theory. That being said, it is probably not an easy area of math to get into for a beginner, but functional analysis and representation theory are definitely fascinating. If you'd like to move in that direction and learn more about the subject, good waying to start would be with learning as much linear algebra and real analysis as possible. You want to be really comfortable with basic matrix operations, norms, metrics, inner products, continuity, compactness, orthogonality, eigenvalues, complex numbers, and subspaces. Plenty of other stuff too, but those are really the key concepts to get started.
