Hello, I am two semesters away from my BS in Math and I very much want to pursue a PhD in mathematics. I started off very rough in college and it has taken me all the way until now to get my GPA up to 2.8 (terrible I know). My first two years were awful. last year I really turned things around with a 3.68 and 3.54 for my last two semesters. I have A's in all my math classes besides calculus(first semester) which was my first semester of college. I have taken linear algebra, calc 2-4(ODE's), abstract algebra and have A's in all of them. in the fall I am taking second semester abstract algebra, topology, analysis, and graduate linear algebra. If I can pull off A's in these classes do you think I have a chance at acceptance into a program? I know a top 20 school is out of the question. I have a list of schools that interest me outside of the top 20-30. I have a nice upward swing going for my grades, I will have good letters of recommendations and I have research experience with a physics professor from last semester who I can also get a recommendation from. right now I am studying to take the GRE. Any input will be greatly appreciated!