Hello I would really appreciate any thoughts you could give me on my chances.
I am from the UK studying a 4 year undergraduate/masters course in mathematics at a good UK university.
GRE scores: Verbal:169, Quantitative: 164, Writing:4.5.
Grades are good, (1^st class in UK system), grades most likely place me in top 1 or 2 in year.
Taken standard stats modules, as well as a data mining course, taking Bayesian Inference this semester and
mathematical statistics next.
Taken standard calculus, diff eqs, linear algebra, computing with fortran, functional analysis. Taken graduate courses in measure theory, geometric analysis, geometric group theory, algebraic topology, differential geometry.
Dissertation is on random matrix theory.
Research experience: spent two summers researching with department. First summer in probability/analysis area resulted in a publication at a decent journal. Second summer also in probability/analysis, resulted in a paper, should be submitting soon, but unlikely to be accepted by application deadlines.
References should be good, with one or two being very good (fingers crossed).
Misc: Have a blog where I discuss statistics/machine learning/computational topology stuff I've implemented in Python started this summer..
My interests are in topological/geometric methods in statistics/machine learning, random matrix theory and applications like compressed sensing and deep learning.
At the moment I will applying to Alberta, Toronto, CMU, Duke, Wisconsin-Madison, Michigan and Wharton in Pennsylvannia
for stats/machine learning phd.
Please let me know if you think this is remotely realistic, or if you have any good ideas for other places to look into. My dream choice would be Stanford, but I don't think its worth taking the subject gre for such a long shot.
Greatly appreciated!
