22FA_MA470A-Research Seminar in Math

This is the list of Mathematical Subject Classification numbers from 2020 (it downloads into a PDF) - it is extremely detailed and may help you narrow down some interests you might have. I would start with the main numbers first (such as 92 - Math Biology) and then look at more specifics depending on what fields you are interested in (such as 92-08). Having a variety of ideas and interests will help you later on down the road!