My profile:

Undergrad Institution: Tier 1 state school(in AMS grad school rankings)

Major(s): Math

Minor(s): None

GPA: 3.2 overall, 3.3 total math, ~3.6 advanced math(B's in all 3 calc's and Diff Eq)

Position in Class: Near top? I've only met 2 or 3 undergrads who are clearly above my level

(no real way to rigorize this, its just subjective opinion)

Type of Student: Domestic Hispanic Male

GRE Scores:

Q: Not taken

V: Not taken

W: Not taken

M: 74% is what I remember, think it was ~730

Program Applying: Math

Research Experience: None

Awards/Honors/Recognitions: Big scholarship from the department. Applying for a college level scholarship as well, decent chance at receiving it.

Pertinent Activities or Jobs: I'm studying under a well known professor this summer, and will likely tutor come fall.

Any Miscellaneous Points that Might Help: I'll probably have 6(and maybe 1-2 audited) graduate classes under my belt, namely:

- real analysis I

- two semesters of graduate level algebra

- two semesters of algebraic topology

- one other, most likely differentiable manifolds or analysis, but that could be either functional, complex or real 2.

sitting in on formal logic

Any Other Info That Shows Up On Your App and Might Matter:

Anyway,

If you go to my older posts, I definitely overestimated how well I thought I'd do on the GRE, and I'm gonna have to retake it(thats what my professor is suggesting, he says a 74% might hold me back). So assuming I get an 80%+ on the retake:

a) What are my chances at the schools I'm looking at(they're below)?

b) What other schools should I be looking at?

My main interests right now are:

Algebraic geometry

Non-commutative geometry(though I've been somewhat scared off by a functional analyst in the department)

Recursion theory

The schools I was interested in are basically:

University of Chicago

U Utah

UW Madison

U Mich

Vanderbilt

Berkeley

one more TBD

EDIT: Updated the courses I'm taking.