Alright here's my story, I wanted to apply for undergraduate research positions this summer related to some astrophysics, however I didn't get any callbacks (not sure why, my grades are fine, my guess would be, being a math major I lost out to too many physics students applying, it is pretty competitive at my school.) And none of the actual math research positions were interesting. Now basically my thinking turned to trying to independently studying/researching something in the astrophysics/theoretical physics realm. Now I don't mean research as in, "Oh look I'm reading about this in books and then writing down what I find in there explaining it to someone". I sort of meant like a problem that might be tenable for an undergraduate. I'm not sure this is at all possible, I might be completely off here, but I'm still wondering, are there problems in theoretical physics/physics in general which could be independently researched by undergraduates? If so, would anybody suggest some? I'll tell you a bit about myself so you can gauge what sort of level I'm at: I'm just about done my 3rd year of my BS in Mathematics. I'm actually more interested in theoretical physics(QM, GR, GUT etc.), but I did my BS in math to avoid laboratory physics :tongue:. I just finished taking a 400 level QM course and 400 level cosmology course, gonna take GR next fall as I just got finished with all the damned pre-reqs. But I've still been studying a bit of GR in my spare time, and reading some pop books(Brian Greene's Elegant Universe) on string theory before I fully immerse myself in the mathematical side of string theory. Any suggestions at all would be greatly appreciated. Thanks in advance.