Still learning where my interests lie within Mathematics, I'm very much a newbie to the vast and elegant world of Mathematics. Currently, I'm mostly focusing on learning a bit of the basics about algebraic curves, Riemann surfaces and function fields, and how the three are related. Overall, I believe I may end up delving deeper into the topic of Algebraic Geometry in the future, but it's still too early to be sure.

Being primarily self-taught, I imagine that there are many holes in my understandings in various areas which are non-issues to most formally educated mathematicians.

That said, I enjoy the challenge of piecing together a picture of the topics I'm studying by reading from a variety of online resources; I think of it a bit like putting together a large jigsaw puzzle by first putting together small sections of the puzzle and then doing a lot of thinking about how the sections relate to one another.

I would say I'm not too bad at self-teaching. When I was a teenager, I taught myself Pre-calculus and Calculus I, which allowed me to test out of these courses at high school and set myself on a slightly accelerated curriculum.

In particular, because I attended a dual enrollment high school I had the privilege of taking Multivariable Calculus in 11th grade and Linear Algebra in 12th grade.

Ever since, I've been instilled with a strong enthusiasm for self-teaching Mathematics.

In addition to a love of Mathematics, I also find Physics and Analytic philosophy very interesting and rewarding to learn about, and in many cases I often come to find out that I've made indirect progress in better understanding one of these three disciplines by learning about the other two.