A lot of this is hypothetical. It is the 'ideal situation' from where I'm at to when I graduate
School: Bad fourth-tier, known for faculty's research in algebraic topology, hosts large regional seminar
Majors: Math/physics/honors
GPA: I will likely graduate with around a 3.7

Courses, grades: * denotes 500-level course **-denotes 600/700-level course
() denotes hypothetical, but I have the background in each case to make the assumption
calc I - C+

calc II - A
calc III - F

Linear algebra - withdraw/failing

Ordinary diff eq's - A
*Numerical analysis - A
*Number theory - A
*Algebra I&II - A,(A)
*Advanced calculus - A
*Analysis I&II - (A),(A)
*logical systems - withdraw/passing
**complex analysis - (A)
**Graduate algebra I&II - (A),(A)
**Graduate real analysis - (A),(A)
**Graduate topology I&II - (A),(A)
**Algebraic topology I&II - (A),(A)
**Commutative algebra - (A)
**Algebraic geometry - (A)
GRE:>860
Research interests: higher functorial structures in Algebraic Geometry, Representation Theory, and Mathematical Physics; motivic cohomology, cohomological determinants, topoi, stacks, the Beilinson conjectures, Hodge theory and the conjecture.
Pros: presented talks at conferences (5+), undergrad research, honors thesis, publications, good recommendations.
Cons: started off very poorly, failed calc III first time around, go to a no-name institution, took additional year and a half to complete my degree after changing majors.
Schools to which I'm applying:
UOregon, UMass-Amherst, UConn, LSU, Dartmouth, Utah, Stony Brook, Chicago (reach), Rutgers (reach), Michigan State, CUNY, USC, UWO, UGA, Miami, Notre Dame, UIUC, Buffalo, Arizona, Boston College (new PhD program), Northeastern, Riverside, Kansas State (safety, want to go for D. Yetter, as I'm interested in higher algebras & quantum representation theory)