engtostats

Hi everyone! I'm trying to get a sense for my PhD or masters prospects for statistics, and would really appreciate any help! Undergrad Institution: University of Toronto Major(s): Industrial Engineering, focusing on Operations Research (Bachelor of Engineering) GPA: 4.0/4.0 Cumulative GPA (94% average) Relevant Courses: Calc I (for engineers): 99 Calc 2 (for engineers): 100 Calc 3 (for engineers): 98 Applied Linear Algebra: 96 Probability: 100 Modelling with Differential Equations: 100 Statistics and Design of Experiments: 96 Data Mining (taken in Statistics Department): 97 Time Series Analysis (taken in statistics department): 93 Type of Student: International (Canada) Male GRE: 167 Quantitative 163 Verbal 4.0 Analytical Taking the GRE Math in September Programs Applying: PhD in Statistics (or masters) Research Experience: Doing an undergraduate thesis in my last year, focusing on applying machine learning to the reliability/manufacturing engineering. Letters of Recommendation: Likely one from thesis advisor (operations research professor), one letter from my 8 month internship working on reinforcement learning, and likely one from another professor in my faculty (there are two professors where I got 100 in two of their classes). I also have another professor that would write me a terrific recommendation letter (went truly above and beyond in an applied course), but she is part of the business faculty. Computing Skills: R, Python, SQL, Java, C Work Experience: Spent two summers working as a software developer, and 9 months working at large bank on applying reinforcement learning to capital markets (research intensive). Concerns: -Worried about my math background (specifically no real analysis course - although I plan on taking one in my final year), especially coming from a non-maths undergraduate background What schools would be attainable with my background? The goal was originally to apply for top tier programs (Stanford, CM, Chicago) - but I probably need a bit of a reality check. Anything I can do to bolster my chances?