I am trying to get some feedback on my possibilities of attending Graduate School for a Ph.D in Pure Mathematics. Specifically, if it is possible... which universities can I expect to receive acceptance from. Which types? In specific, my highest goal is UVA, (University of Virginia). I have yet to fill in my more realistic options because I am not very familiar with University acceptance. My record is as follows. I hope this is enough information. ---- Undergraduate in Mathematics/Concentration in Teaching. Did not include Topology,Algebra, or Analysis. GPA 3.25, including 3 F's in English, Pre-Calculus, and Intro to Programming. All repeated and passed, in specific... an A in Pre-Calculus. ---- General GRE: Math - 760 English - 530 Essay - 5 ---- Graduate Degree at the same university I attended for B.S. Fall, Intro Algebra - A Intro Analysis 1 - B Intro Topology - A Methods of Appd. Mathematics 1- B Spring, Intro Analysis 2 - A Complex Analysis Apps. - A Methods of Appd. Mathematics 2- A Independant Study-Topology - A Fall, Real Analysis 1 - A Algebra 1 - A Advanced Linear Algebra - A Spring, Real Analysis 2 - A Algebra 2 - A Independant Study- TBA A ---- Subject GRE: I will take it after preparation during the summer after my first Graduate M.S. year. ---- I will also have good recommendations from professors. I will not have very much research. I will have taught lower-level classes at my University for 2 years of my M.S. study. ---- Thank you EDIT: I want to study mathematics because I love it and it's fun. EDIT2: I want to let Universities know that I will (if they request) retake their Analysis, Topology, Algebra courses and add a couple years onto my graduation time. I assume that this is usually not what they want though. Since my B.S. and M.S. might be relatively "light" I want to do all that I can in order to get accepted somewhere.