Here's my profile:
Institution: Clarkson University (has anyone heard of this school?)
Citizen: USA
Major: Math, Computer Science (double)
Cumulative, Math, CS GPA: 3.789, 3.824, 3.9
Math/stats coursework: Calc 1-3, B, B+ ,B+; Applied Stats/Probability, A; Actuary Seminar; intro. proofs course, A; Applied lin. alg., A; elementary diff. eqns, A; intro. modelling course, A; Advanced Calculus I, A; Abstract Algebra, A; graduate Finite Element Methods, A;
I've also TA'd the DE course for a few semesters.
Research Experience: I've done a ton of stuff in computational mathematics during the school year with one of my professors; I'm not really finding it as I did when I was still new to it. Last summer, I did an REU at Duke where I learned about and did a ton of Bayesian statistics which I really enjoyed (in contrast to the stats/actuary classes). I'm still working on the computational mathematics stuff, but I've also started working through some material on topic modelling.
I feel like I can get really strong letters of recommendation from various mentors or advisors, but on the other hand my home department is rather small. I also haven't had any publications yet, but I've presented work at local poster conferences (not sure if these matter).
By the end of this semester, I'll also have completed Advanced Calculus II and a graduate complex analysis course. My plans for the summer aren't set in stone yet since I'm waiting on REUs/internships, but I'm sure I'll be doing research somewhere this summer. In addition, I'll probably try to self-study GRE-type stuff and statistics/machine learning.
My plan (class-wise) for next semester is to take graduate real analysis and also a Bayesian data analysis course, as well as finish off my CS requirements. The semester after that, I was considering doing a Budapest Semester, but I'm not sure if this is optimal preparation for stats programs.
What really concerns me is that I've done a pretty mediocre job at what I perceive to be a mediocre school. With respect to statistics programs, I also feel like I won't have completed as much stats/prob. coursework as the competition. When I submit applications next fall, I'll also be much younger than most graduates; I don't know if this is something that works for or against me.
Do you guys have any suggestions at all for making my application more competitive? My hope is that I can be at least mildly competitive for high-ranking schools.