REU program for math+physics freshmen

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Hey everyone, I am a 1st year student with junior year standing in math and physics at univ. of Kansas and I just wanted to see if I have enough qualifications to have good chances at REU progrmas in math/physics for next summer.

In math, by the end of this year, Ill have had 2 semesters of real analysis, 1 of complex analysis, 2 semesters of abstract algebra, 1 semester in probability theory, and 1 in statistical theory. Also, I have no prior research experience in math.
A few notes on math: I have the option to switch out complex analysis for a 3rd semester in abstract algebra on commutative rings, or I could switch out complex analysis for a 3rd semester in real analysis on measure theory.

In physics, by the end of this year, I'll have had 2 semesters of advanced mechanics, no semesters of advanced E&M, 1 semester in QM, 1 in mathemtical physics(basically applied math), and 1 in particle physics. As for research, a year ago I was involved in optics research that got published in physical review B(but I made minimal contributions, so I am like a 50th author), I was participant in MIT's summer science Program during high school, and next semester I am getting inovolved in research on dark matter, but Idk if I'll make significant progress within one semester.

Do you think I have enough background to be a competitive applicant for the REU programs? If not, what is it that I'm missing? Should I stay with my current arrangement in math courses or do you think one of the other arrangements will make me a better candidate for REU programs?

Thanks for your opinions:)
 
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Also, Idk if this really matters, but in physics ill also have had a laboratory in modern physics and an advanced laboratory in digital/analog circuit design.