Okay, so I'm new here, but I have a few questions about research that mathematicians do. Firstly, what is it like to do mathematical research, and secondly how would I go about doing that? Currently, I'm just an undergrad in mathematics and my highest level of knowledge is just complex analysis. So, I understand that right now I might not know enough to be able to do research. However, I'm asking what I need to be able to do to do research. In other words, what do I need to learn to do research? Also, is it possible to do research independent of the university? If so, how? Like theory building, or maybe solving open problems, and how would I know what has been solved or not? Or what theory to build? Thanks.