Hey guys! I'm a junior, finishing up my third year, looking to apply to Ph.D. programs in mathematics next fall. Could you guys chance me on what universities you think I'll get in? Right now I'm interested in analytic number theory, so I would love to go somewhere like UCLA (Terance Tao) but that's probably a long shot. I know UCSD, Brown and UIUC have strong analytic number theory programs. Ideally I'd like to go somewhere like Berkeley, MIT, Harvard, Princeton, but I don't know if I'd actually get in.

Anyways, could you guys look over my stats and chance me for grad admissions?

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Undergrad Institution: State University, well-known but not prestigious or anything.

GPA in Major: 3.88

Overall GPA: 3.92

Length of Degree: 4 years

Position in Class: Top?

Type of Student: Domestic White Male

GRE Scores:

Q: 800

V: 630

W: 5.0

GRE Math: 820

Bonus Points: Participated in the Budapest Semester in Mathematics

Research Experience:

One REU last summer, good results and submitted for a publication. Also resulted in a few presentations I got to give.

I got accepted to a second REU this summer, so I should have two summers of research under my belt when I apply.

Also, after my Budapest class in Analytic Number Theory, I have spent this spring doing research with one of my professors in analytic number theory (which is the area I'm wanting to study in grad school).

I will spend a second semester researching with him this fall, and a third semester researching with him this spring as I work on my senior thesis, so I hope to have some good research done there, even by the time I apply.

Pertinent Activities or Jobs: Math tutor, participated in problem solving group every year, math club, etc.

Any Other Info That Shows Up On Your App and Might Matter: I took Calculus 3 in the summer between my freshman and sophomore year at a different university. Do you think grad schools will care? I'd assume not since I got A's in classes like real analysis but I'm not positive...

Here are the classes I've taken so far:

Calculus 1 - A

Calculus 2 - A

Calculus 3 - A

Linear Algebra - A

Differential Equations - A

Partial Differential Equations - A

Discrete Mathematics - A

Elementary Number Theory - A

Abstract Algebra 1 - A

Abstract Algebra 2 - B+

Complex Analysis 1 - A

Complex Analysis 2 - A

Real Analysis 1 - A (Budapest Semester)

Analytic Number Theory - A (Budapest Semester)

Commutative Algebra - B+ (Budapest Semester)

Topology - A- (Budapest Semester)

Differential Geometry - A- (Budapest Semester)

Real Analysis 2 - A

Algebraic Topology 1 - B+

Applied Linear Algebra - A

Functional Analysis - A

Probability Theory (taking next year)

Algebraic Number Theory (taking next year)

Representational Theory of Groups (taking next year)

Projective Geometry (taking next year)

Dynamical Systems and Applications (taking next year)

Fourier Analysis (taking next year)

Measure Theory (taking next year)

Numerical Analysis (taking next year)

[Yes, I understand that by taking 4 math classes a semester, I am officially a nerd.]

Anyways, chance me? What chances do I have on getting into...

a) Princeton, Harvard, MIT, etc?

b) Top 20 schools, UIUC, UCSD, etc?

c) Top 30 / Top 40 schools?