In the fields of mathematics I have taught myself a great deal of Calculus, I am very skilled in Complex Analysis, Catastrophe theory, Differential equations, differential geometry, Functions of all sorts, Harmonic Analysis, Operator theory, and I love series.
I know computational theory, cellular automata, and I have fiddled with combinatorics and have a working knowledge, but nothing impressive.
I possesses a familiarity with computer science, mostly software and programming languages. I can't afford hardware to study it closely.
I hope this list will help, there are a few more things but they are trivial.