I am a 16 year old student who is greatly interested in math, and do well in the subject academicly, often finding coursework too easy and reaching ahead. This being said when I think to a future in the field I worry I am not good enough, that only the top elite math scholors actually make an impact. How hard is the field of math to get deeply into and will I be able to go far despite not being a math Olympiad who competes on the world stage?
I was just reaching out to see if I could have some imput from an expert. Does this feeling go away? Will I be able to make it anywhere substantial in the field of math? Also what are some resources to guide further education in my own time for the subject? Thanks greatly for any imput!