math PHD tier recommendations

I know that without specifying my field of interest it’s difficult to give specific recommendations.
Yet, I’m beginning my Junior Year, and I’m looking for some indication of what kind of schools I should be looking for (AMS tiers etc.)
I just don’t have any sense for what “mid range” or “appropriate” programs look like (I have dream schools and safeties, but I’m wondering about schools where I can get my foot in the door, so to speak, and have a roughly 50-50 shot of getting in to.)

Here are some stats:
Math GPA: 3.98
GPA: 3.9
Liberal Arts (top 50, not a well known program.)
Budapest Semesters In Math
1 REU published

Introductory Courses: Proofs, linear, algebra, analysis, topology

Intermediate Courses: Measure Theory, Algebraic Topology, number theory, combinatorics.

Advanced courses (Junior Year, hopefully I’ll do well:) Functional analysis, Algebra II, Representation theory, Linear II, Differential Topology.

I’m not sure about my senior year.

For some practice GRE, I’ve scored roughly around 800, although I hope to improve.

I know that it’s early, but I’m just beginning to look at schools, and I realized that I am very lost, despite having spoken with a great deal of professors.

You might want to take this question to the Math/Computer Science Majors page. Or the Graduate School page.