Hi, I am trying to decide what schools to apply to for PhD program in math. I will be getting my B.A. in math and physics in May (double major) from pretty a public university. I have had Real Analysis, Linear & Abstract Algebra, Complex Analysis, College Geometry, Differential Equations, some pretty advanced statistics. I have 4.00 GPA in all my math and physics classes. I have done some minor physics research. I can get recommendation letters from any/all professors I've ever taken classes with. So, the question is how high can I aim for without looking too ridiculous?