Hi all, I am currently applying to a few PhD programs in mathematics, and I was wondering what your opinion is regarding my chances of being admitted to any of these schools? Below is a very brief description of my background: Institution: Small, not known for math GPA: Overall: 3.94, Math: 4.0 (on a scale of 4.0) General GRE: Haven't taken yet Math GRE: (Nov.) Expecting 680-760 Academic Credentials: I have a total of two papers under review for publication to refereed journals. One is as a result of an REU that I did two years ago, so I am one of the authors, while I am the only author of the second one. I also have submitted another undergraduate research project/paper for publication to an undergraduate journal. Conferences and Presentations: I have given a talk(for two consecutive years) at the Texas Undergraduate Mathematics Conference. I will also give a talk at the 2012 Joint Mathematics Meeting on one of the AMS Sessions(The talk will be over my paper that I have already submitted for publication). Presented at the Alpha Chi National Convention in San Diego, and won an award for the best presentation/paper under the mathematics session. Other Academic Credentials: I have had three reading courses, graduate level, in Analysis, Algebra, and Topology (Rudin, Dummit and Foote, Massey and Munkres).I will have strong recommendation letters, including one from a professor that is quite known in his field (not my intended field of study though). I also have somewhere between 20 to 30 solutions and/or proposals that have appeared or will appear in journals such as: The Amer. Math. Monthly, The College Mathematics, School Science and Math. Journal, MathProblems etc. I have been a Math Tutor and Math Grader for the past 3.5 years. I have also recently joined the editorial committee of a recently founded international mathematics journal. The schools that I am applying to are: Cornell Univ. of Michigan, Ann Arbor UT, Austin Rice Ohio State Univ. UC, Davis Univ. of Washington, St Luis Indiana, Bloomington I am also thinking of applying to: Dartmouth College, Brown (?), Yale (?), UC at Berkeley, and maybe one or two more(feel free to suggest any other school that you think might be a better or more realistic choice for me) I am applying for pure math only. I am well aware that some of these schools might be a long shot, (one of my profs. is encouraging me to try some of these top schools), however, I would appreciate your most honest opinon on this list? In my opinion my weakest part might be my Math GRE scores. Many things went wrong on the day of the test. Thanks in advance. P.S. The schools are listed from less likely to more likely, in terms of admission chances (in my opinion).