I've applied to 6 summer programs (couldn't do much more because I'm on the quarter system and most programs start before I even have finals) and was rejected from 2 of them thus far, one of which I considered a safer bet, so I'm a bit worried I might not even get into a summer program (but I have a 3.94 GPA and graduate coursework! I thought I'd be towards the top here!). What would you recommend doing from here? I live in Southern California, so there's a fair amount of industry to do internships for here (but I'm not all that interested in industry since I'm wanting to do pure math). I'm currently doing some research under the direction of one of my professors, too, but I'd like to learn about other fields in math and have more people to get solid letters of recommendation from. I'm hoping to go to Michigan to study commutative algebra for my Ph. D., so I know this stuff really matters.