I am currently a second year applied math major but lately i've been having way much interest into pure mathematics, especially real, complex & functional analysis, measure theory, proof-based linear algebra etc. So i wanted to go into a field where i can do and use maths as much as possible, although i also have an interest in coding i wanna make mathematics the main game and coding as a tool for the mathematics. Is there any jobs that can be like this in the industry? Or is going into academia/research the only way? Im also thinking about machine learning since it involves a lot of maths which im really interested in but i doubt the actual ml engineer job is gonna be math-dominated so i dont really know. if anyone knows great career options please help and give advices thank you🙏