So I have been generating a list of REUs to apply to but I am not sure how competitive each one is. I am a sophomore and I don't think I have a chance of getting into the super competitive ones like Duluth, Emory, Williams (maybe even Cornell? I don't know where that stacks up).

So what would be some examples of mid tier REUs?

Some info on my math background: I've taken 1 year-long analysis course, one complex analysis course. Currently taking a year long sequence in algebra , a course on point-set and a course on functional analysis.