Hello, new to this board so sorry if i overlooked some formatting rules. I will be applying for grad school this year and am wondering what schools would be a 'reach' for my background.
I go to a mid-ranked Canadian university for my ug in mathematics, I have taken a handful of graduate and reading courses starting in my second year (PDEs, rep theory, algebraic topology). I currently have 2 papers published in Q1 journals (both substantial results for the topic), one of these papers was under a REU. My letters of recommendation are from people who are well known in their field (one has published a couple well-known books in his field, another visits IHES yearly and works/publishes with a very well known mathematician). With this in mind, what would be a reasonable tier of schools to apply too? I don't know how I stand compared to other students because I'm basically the only mathematically motivated undergrad at my school.
Also, I am still largely a self taught mathematician, how do I communicate that in my application? I've considered just reaching out to interesting profs and discussing their research but I'm not sure if that helps.
Forum for the GRE subject test in mathematics.
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