Background: I am a sophomore who has taken one analysis course, and one linear algebra course. I am taking abstract algebra, 2nd read analysis, and topology this semester. I have participated in a directed reading program last semester and learned some representation theory and matrix groups. Using Serre's representation theory for finite groups and Tapp's Matrix Groups for Undergraduates. However, I don't think I understand algebra as deep as analysis. Since somewhat algebra seems more abstract to me.
Since I found them both interesting, but interesting in a different way. I wonder if it is true that researching in analysis requires not as many pre-requisites as researching in algebra? Since I noticed that there are a lot of topics in algebra, but not as many as in analysis. I understand that whatever topic I choose to dwell in doesn't really matter much toward my graduate study since I could always change before that. So I wonder what is more beneficial to me? Given my background, would it be easier to do an undergraduate project in analysis than algebra?