I’m currently a community college student studying in astrophysics and math, and I don’t think that I am challenged at the maximum level. I plan to take the 2020 Putnam exam, and aim to become a Putnam fellow. I do not care about the unlikely odds in becoming a Putnam fellow even though I was never an IMO participant since anything is possible. When I become a Putnam Fellow and apply as a transfer student to Caltech, how likely is it that I will be accepted? By my logic, they would not dare reject a Putnam Fellow.