I am a senior math major and my goal is to get into a top 20 PhD program. Right now I do not feel competitive enough to get into those schools, so I am pursuing a masters degree first. I'm applying to these schools: -University of Washington -Texas A&M - College Station -University of California - Irvine -UNC - Chapel Hill -Georgia Tech -Purdue -University of Southern California -Rensselaer Polytechnic Institute I picked those schools because they are ranked in the top 30-50 and do not require the math subject test. I'm not prepared to take that test right now and do well on it. And coming from such a small program, I don't think I'm prepared anyways to succeed in a top 20 school. Here are my stats: School: Unranked, unknown state university GPA: 3.86 Classes: -20 college math classes total (from Calculus II and beyond) -2 semesters of algebra, 2 semester of analysis, 2 semesters of geometry, 3 independent studies, complex, actuarial science, combinatorics, differential equations, graph theory. Letters: -1 would be a very strong one from a professor I've taken several classes with and did research with -1 would be from a professor I've had several classes with including an independent study -1 would be from my REU advisor. Research: -REU -Two papers in the process of being published, one from REU, one from summer research with a professor Talks: -Gave talks at two conferences at separate universities -Gave special sessions talk at the AMS/MAA joint meeting in San Diego GRE scores: Unknown, but assume at least good, if not excellent Extracurricular: -Math club president -Pi Mu Epsilon vice president -Putnam team member for 2 years (scored a 0...) -Honors program -Eagle Scout (2009 Eagle Scout of the Year) Those are my stats. How would you rate my chances if you could quantify it?