Hi, I am a senior in High school. In only 4 months I have managed to self teach (from paperback books, PDF files and online courses uploaded to various platforms such as youtube)the following during my free time:
Calculus 1,2,3,
Differential Equations
Linear Algebra
Abstract Algebra
Discrete Mathematics
Analysis 1,2
Calculus of Variations (Optimization Calculus)
Elementary Number theory
Concise Introduction to Mathematical Logic
It is clear to me that I am gifted. I can only imagine once I dedicate myself full time to the study of math. I am not clear what exactly to study. I am interested in Complexity Theory, Number Theory and Artificial Intelligence. I have an extremely good memory. I would say 70% photographic. I am more than happy to hold a Skype session to demonstrate my abilities. I would like to jump straight into a PHD program.