Hello everyone.

I applied to 20 mathematics PhD programs and now I think it's time for choice and decision. My interested area is number theory, including analytic number theory, algebraic number theory and arithmetic geometry. But I think it's unrealistic to master so much in only five to six years. so perhaps I will prefer something analytic first which is I am better at. But it would also be great that if the department is quite strong in algebraic aspect of number theory, in which case I will try to learn more algebraic things.

My offers are: Johns Hopkins, Maryland, Rutgers, Stony Brook, Penn State, CUNY

If possible, could you possible rank the six departments by their strength in number theory?

I know the USNEWS ranking and the ranking for algebra/algebraic geometry/number theory, but it seems there is no ranking for number theory only. I will appreciate it very much if you could tell me which part of number theory is each department better at and your suggestion which one I should attend.

Thank you very much.