I'm a math major ... to be honest, your plan is a bit scary ... You know, as math students, it took us a year and a half to learn fractions, and it took us a year and a half to finish ordinary fractions before we started to study complex variable functions (fractions in complex fields). I think it's really hard for you to move forward a little bit in geometry and leave some time for real changes, functionals, topologies and so on.

This may hurt you, but if you are not a genius, you should master those studies within five years ... To be honest, it's really not just hard work ... It's best not to use the word "proficient" casually ... It's good to stick to it. Come on!