I recently moved countries, and am now in a US school. Previously, I've had a little bit of exposure to competition math, and I did okay, but at this time I wasn't diving very deep into math in general, much less competition math.
Today, it's a bit different. I've come to conclude that math is a highly fascinating subject, and am thus looking to trade breadth for depth, and really focus my efforts somewhere. With the opportune change of scenery, I decided I would get into competition math (as I did find it interesting in the past).
Here's my question: where do I start? It's not so straightforward as, say, learning a specific topic or subject. I've been working through old competition problems, studying some common areas that come up (currently working on number theory), and so on. To be blunt, I have no idea what I'm doing, so I decided I would get to the drawing board and map out the general trajectory for the short/mid/long-term, so I know just what it is I'm going at. So, I turn to you.
Thank you very much for reading this. I would like nothing more than to learn from you, anything and everything you might have to say to me is welcome. Thanks once again.
Talk to your math teacher(s) and consult this site.