I'm a high school student in Canada interested in pursuing a PhD in mathematics. I am currently in my eleventh year of high school and am working to study as far ahead as possible since I have aspirations of getting into a top school. My areas of study (restricted to maths) are - Linear algebra - Multivariable Calculus - Logic - Grade 12 advanced functions (IB) I aim to graduate in logic or analysis, but that might change! Afterwards, I would likely go into teaching or research.