I am hoping to apply to graduate schools in mathematics this fall, and I was wondering if anyone would know what types of schools will accept me. I have a 3.7 GPA, 3.9 in math. The upper level math classes I have taken include a geometry class, two semester of real analysis, a topology class, a mathematical logic class, an abstract algebra class, a class in advanced linear algebra, two upper level courses in statistics, a number theory class, a complex analysis class and Galois Theory class. I have also held research jobs each of the last three summers (2 at my school, and an REU). From one of my research projects I co-authored two papers which have now been published. I also won a Goldwater Scholarship last year. I attend a fairly small liberal arts college, though I did do the Budapest Semesters in Mathematics for one semester. The problem is that I have low GRE scores. On the GRE verbal I got 400, and on the math subject GRE I only got in the 36th percentile. I'm most worried about how my low subject score will affect my acceptance into graduate school. I do not have time to retake the subject GRE, but it is still possible for me to retake the GRE general to improve my verbal score. I was originally hoping to get into a top 50 school for math. Is is this a possibility for me?