Hi, everyone~ I have a bachelor degree in physics (in a top China university), and I am doing a master in theoretical physics (in a top UK university) now. However, I am becoming increasingly interested in pure mathematics, and I am seriously considering being a mathematician. I tried to apply for several math master programs this year but failed at all of them : ( I guess that is because my background is not strong enough. Therefore I am thinking of doing a math bachelor degree. I plan to apply for US colleges mainly. Information for my situation is rare. So may I ask if you know anything about similar cases? For instance, 1) Do I still need recommendations/grades from high school ? 2) I have some academic publications (on Physical Review D), how much do they help? 3) Will it be harder to get financial aid? Any comments are much appreiciated!