I graduated with a bachelor of electrical engineering and I like to start a phd program in algebraic geometry at Brown university or another similar university. During my undergraduate, in addition to engineering math courses, I have taken abstract algebra, real and complex analysis, differential equation, linear algebra, and vector calculus.
Given my background, how can I start a phd program in algebraic geometry? How should I transition to a phd program in algebraic geometry?
I know that my math background is very poor but I want to know what I need to do so I can do a phd in algebraic geometry?