I'm applying to PhD in statistics (primarily) and CSE programs (computational sciences) this year. It'd be very helpful if you can take a look at my profile and give me some advice on programs to apply to, especially ~2 safe schools.
My profile: I'm currently doing a master at Harvard (CSE masters, GPA: 4.0/4.0). I did my undergrad at University of Toronto (Engineering Sciences, GPA: 3.92/4.00). No GRE math (I took it without sufficient prep and got a terrible score--76%) and will probably not reveal it to anyone. General GRE: 166(V), 168 (Q), 4 (W).
Recommendation Letter: Both professors at Harvard knows me and my recent work very well -- one is my advisor and I have discussed research with the other prof frequently; Nailed their classes (PhD inference II and probability II respectively). My advisor said he wanted me to continue working with him as PhD but cannot guarantee admission. I'd like to say both profs think highly of me but that could be out of politeness. The other one is my old senior thesis advisor, who does not know my recent progress but he is very well known in the community. I think my work with him is somewhat solid but not very good.
Work experience: e-trading developer at Citigroup, quant research intern at a pension fund (OTPP). All these are like 2 years ago and I have left finance stuff since.
Research: there is probably no time for my work to be peer-reviewed before application. I know this is very bad. I need to rely on my advisors to testify on the quality of the work. Will those guys in the admission committee at least take a look at the preprint or they just don't care? Anyways, two Harvard profs know my most recent work and I have to trust them to talk about it at least a little.
School list: These are schools I want to get into--I have not included safe schools. I will probably fail all these. So I need about 2 safe schools--and I will substitute them into the list. What are some of the good choice? Notice that I excluded Stanford statistics because that is a waste of time with my math GRE. I may drop Chicago for some safe schools as they seem to have a penchant for people with crazy math track record incl. high math GRE. Any advice on the list in general is appreciated.
List of research article:
Li, Yufan., Pillai, Natesh "Regeneration Sampling with Multiple Atoms." preprint (2019). [Link to Article]
Li, Yufan., "Markov Chain Monte Carlo Algorithms and Related Convergence Properties." Undergraduate Thesis, University of Toronto, [Link to Article]
Li, Yufan., Rosenthal, Jeffery "A Divergent Random Walk on Stairs." arXiv preprint arXiv:1808.10121 (2018). [Link to Article]
Li, Yufan. "Improve Orthogonal GARCH with Hidden Markov Model." arXiv preprint arXiv:1909.10108 (2019). [Link to Article]
Relevant Courses: I did not take a tons of classes at Harvard because I need to work on research so just the bare minimum: standard phd course on probability and inference.
Statistics (Standard PhD Sequence)
STAT 210 Probability I (Harvard), A
STAT 212 Probability II (Harvard), A
STAT 211 Inference I (Harvard), A
STAT 212 Inference II (Harvard), A
STAT 230 Multivariate Statistical Analysis (Harvard), Ongoing
STAT 244 Grad. Linear & Generalized Linear Models (Harvard), Ongoing
STAT 220 Bayesian Data Analysis (Harvard), Ongoing
Computing,
AM 205: Advanced Scientific Computing (Harvard), A
CS 207: System Development for Computing (Harvard), Ongoing
CS 205: Distributed and Cloud Computing (Harvard), Ongoing
Mathematics,
MATH 122: Group, Ring Theory & Vector Spaces (Harvard), A
MAT 336H1 Real Analysis (UofT), 99
MAT 334H1 Complex Analysis (UofT), 100
MAT309H1 Math. Logic (UofT), 100
APM 384 H1 Partial Differential Equations (UofT), 100
MAT292H1 Calculus III (UofT), 100
MAT195H1 Calculus II (UofT), 99
MAT191H1 Calculus I (UofT), 97
MAT185H1 Linear Algebra, 92