I am a final-year math undergraduate planning to pursue a PhD and a career in academia.
Back in high school, I was above average in mathematics—I qualified for a few national-level Olympiads, though I never made my country’s IMO team. Even then, I knew I wanted a career in academic math. Early on, I adopted a specific mindset: I wanted to be good enough to solve major research problems and make a real name for myself in the field.
However, as I have gotten to know academic mathematics better, I’m realizing that this fixation on name and fame can be dangerous.
I’ve met professors who entered academia with that exact mindset, only to achieve no widespread recognition. They now live in a zone of deep personal disappointment, feeling like they haven't contributed enough or left behind any named work recognized by the broader math community. On the other hand, I’ve met professors who haven't made ground-breaking discoveries, yet are genuinely happy simply because they love the subject and enjoy the daily process of doing math.
Now I'm facing a dilemma. Is it a mistake to hold onto the ambition of doing ground-breaking work and gaining recognition? Or is it healthier to leave fame and material goals (money/recognition etc) entirely aside, pursuing mathematics purely for the joy of it?