mango wrote:Ignore those rankings. I don't know about A&M, but Stony Brook is world class in geometry and topology. Basically anyone at a top place is a leading expert in their field, and there are far more good mathematicians who are really good research advisors than there are fields medalists, so calm down a bit there. If you want to do math, go to the best school that is a good fit for you, and work hard. If you waste your time comparing yourself to people elsewhere, using things that depend on so many different intangible factors and are impossible to quantify, you'll never get anywhere.
Thank you so much. I will like to add this to it: I hardly compare myself with people. Just that I want the best that is within my reach. I don't want to miss out on anything cos of ignorance. Your response is a nice one though.