failedphysicist

Hi everyone, I'm a college graduate planning on applying to statistics PhD programs next winter. I'm interested in mathematical statistics or probability. Basically, I want to do something as close as possible to math, without having to apply to a math PhD program because I know I probably wouldn't get in. Undergrad institution: Think Harvard/Princeton/Stanford/MIT Major: Physics GPA: 3.6/4.0 Relevant courses: Math: Real Analysis (Rudin): A- Linear Algebra: B Complex analysis: B+ Functional/complex analysis (it was a weird course lol) : A Abstract Algebra (mostly group theory): A Probability: B+ Physics: Advanced classical mechanics: A Quantum mechanics 1 and 2: A, A Advanced electrodynamics: A+ Statistical mechanics: A Experimental physics: A Computer science / electrical engineering: Algorithms and data structures: A Signals and systems: A- GRE general: 170, 170, 5. GRE math: yet to take Research experience: Theoretical physics, 1 first-author publication. LOR: Could prob get a decent one from the professor i worked with for my publication. No idea what I'll do for the other two. As you can see, I didn't take many math classes, nor did I do well in them for the most part. Do I have any chance of getting into a stats PhD program? If so, what schools should I aim for? Thank you!