Competitive US universities require students to demonstrate a strong competency in mathematics for 3-4 years especially if they want to study sciences. Since you have not taken math you will need to explain why in your application through counselor LoR. Although your research shows your competency in math, there is no way universities will know its level since you cannot upload your research. So, I suggest you to take the AP Calculus BC course next May (though keep in mind the results come out after you received all your offers). Moreover, engage yourself in math-related research projects and/or participate in math competitions and Olympiads. Good luck!
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