I am not brilliant in mathematics, I can never solve difficult problems that most mathematicians are after. Instead I look into new ones and expand on it.
I am very careless so I need the help of calculators to verify my ideas. I owe myself to my graphing calculator desmos that pushed my interest in mathematics. It is not only a tool to verify calculations, it is creator of mathematical artwork.
Currently I looking into the derivative of dense functions that are defined only at specific sets of rational numbers. I am also finding techniques of computing the average for these specific sets.
I hope once entering college, I can develop a strong core knowledge in mathematics and make my ideas rigorous.