I'm currently in the process of narrowing down which schools I will be applying to, and I was wondering if anyone could lend some advice.
I'm a fourth year female mathematics major at UC Berkeley, 3.7 GPA. I've done one summer REU at UCLA, and I'm currently writing my honors thesis. I'm going to have letters of recommendation from two professors, my thesis advisor and my research mentor, and one post-doc. I've also got a year's worth of on-campus research in neuroscience labs, which is my area of interest. I took the math GRE subject test in October, and though I don't feel I performed that well, I don't think it was disastrous.
Anyways, my research interests are in applied math and neuroscience. So far I've been looking into the programs at UCLA, Rice University, and UT Austin. I understand that these are relatively prestigious schools, so should I be looking into a safety school? How would I go about figuring out a decent safety school? Generally, I'm not sure how to go about finding the right school for me, given that there are so many to choose from, so any advice would be appreciated. Also, if anyone knows of any applied math programs working with neuroscience, please let me know!