I'm a high school student in Canada interested in pursuing a PhD in mathematics. I am currently in my twelfth 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 - Abstract algebra - Number theory - Analytic Geometry - Discrete mathematics - Probability - Grade 12 Calculus (IB) I aim to graduate in logic or analysis, but that might change! Afterwards, I would likely go into teaching or research.