Undergrad Institution: Top (P,H, MIT etc)

GPA: 3.8

Major: Pure Mathematics, minor statistics

Math GRE: 82%, am retaking

All A's in statistics classes, several graduate mathematics classes.

Experience:

Top REU (Math paper published in top journal) (soph summer)

Math research senior year of high school -- another paper

1 year in finance (trading) (jr summer)

1 year taking graduate seminar and reading course (freshman summer)

Should have good recommendations, top student in previous stats classes.

Several graduate stat classes senior fall.

math competitions in high school (USAMO, Intel etc.), not sure if relevant.

Only applying to statistics graduate school, interested in Stanford, Harvard, Berkeley.

Are these schools realistic with my stats?