Undergraduate Institution: Canadian School (mid-tier)
Program: Business (I know)
GPA: 3.6/4.0; 4.0/4.0 on all (12 one-semester) Math Courses
Type of Student: Asian; International
GRE: 159V, 170Q, 4.5W
Math GRE: 880 (90th %ile)
Program Applying: Pure Math PhD
Work and Research Experience: No formal research experience and no relevant work experience. For the last three years I’ve been doing my own projects/businesses and spend most of my time learning. I have co-founded some 6-figure businesses and run a small fund with some friends that has grown 40x to barely north of a million. I think I can show my interest in mathematics by spinning my story as I have done a lot of independent research on probability, stochastics, numerical analysis, advanced statistics, etc.
Awards/Honors/Recognitions: No substantial awards.
Letters of Recommendation: I have really good connections with some of the math professors. I am confident I can get 2 really good and 1 ok letter of recommendation. My grad real analysis professor, I feel, would write the strongest letter.
Math Subjects: (Took maximum math courses allowed) Calculus, Multivariable Calculus, Applied Linear Algebra (2 Semesters), Introductory Real Analysis, Real Analysis, Algebra I, Graduate Real Analysis, Graduate Functional Analysis, Graduate Harmonic Analysis, Graduate Probability, Graduate Convex Optimization.
*My GPA is awful as I hated my business courses.
Programs: Berkley, Princeton, Harvard, MIT, Stanford, Chicago, UCLA, NYU, Columbia, Cornell, Brown, UPenn,
Question: Do you think given my unconventional background I would have a chance? Is there something I could do that would improve my chances?