I am currently a senior in high school, and I will be graduating next week. I took a lot of math classes in high school, and did a couple of math competitions. I really enjoy math and I want to continue doing math in college although I was only able to make AIME. What are some things in math I can do in college? I know the Putnam is a very famous undergrad math competition.
If I do Rice undergrad and then Stanford PhD in applied math/cs/electrical engineering, is that more prestigious than doing Stanford undergrad? Intuitively, grad school matters a lot more, but a lot of people I see are saying that undergrad matters more because it is more prestigious and others are saying it depends.
But I want to hear what you all say, and your opinions. Will I always be behind someone that went to a more prestigious undergrad (MIT/Stanford/Harvard).
For those of you who got a PhD in mathematics, what careers have you went into? I know one common path is to become a professor, but I want to know what other options there are.
Throughout high school I have enjoyed doing math. Later I came across math competitions (AMC/AIME) and started studying for them. But no matter how hard I tried, I was never able to make USAMO. Does this mean I am not smart enough to continue pursuing math? Should I just focus on engineering or cs where I can reliably get a good income?
Even if I do decide on pursuing mathematics, what should I do in college? (from USA)
Throughout high school I have enjoyed doing math. Later I came across math competitions (AMC/AIME) and started studying for them. But no matter how hard I tried, I was never able to make USAMO. Does this mean I am not smart enough to continue pursuing math? Should I just focus on engineering or cs where I can reliably get a good income?
Even if I do decide on pursuing mathematics, what should I do in college? (from USA)