Suggestions for undergraduate research

Starting in the summer I will be participating in undergraduate research with the theoretical high energy physics group here at Florida State University. As I am the only undergrad (I think) in this group they are giving me a choice of what I was to do. They told me to think of some things that I am particularly interested in. I am interested in supersymmetry, unification, astrophysics, higgs, black holes, dark matter.

Does anybody have any suggestions as to any interesting projects that can be taken on by an undergrad? I am currently finished with all of the physics courses offered here at FSU. I am finishing an a second major for my last year (applied mathematics). I honestly don't know what I want to do exactly, I feel that anything I choose may be to advanced for an undergrad.
 

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