Can you comment on my admission prospects ?
Undergrad: Math Major from an unranked State University, highest degree offered PhD in math and statistics,
GPA: 3.8 overall, 3.9 in core (math),
Dean's list every semester
Graduate split-level courses: 8
Graduate level (full): 1
Publication : one
REU : one Summer, publication in process
Current research: working on Ramsey's Theory, expect to result in a paper next month.
Grader / TA: one semester
Tutor : one semester
Scholarships every semester
Not much work experience, since I started college at age 10. Would be still 15, when starting my PhD.
GRE Subject: Quant: 169 (97 percentile) Verb: 165 (95 percentile), writt: 5 / 6 (93 percentile)
GRE Math: taking in Oct. 13. Practice test scoring in low 80s percentiles
Putnam math : scored 18 out of 100
My desire is to go to a top 10 in Pure math. I know, the competition would be brutal from Asian students, with perfect scores, LORs, GPAs and prior course work.
What do you think my prospects are ? My only unique qualifications (if you can call them as such) are very young and from an American U. Do you think it matters at all ?