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 mathematics) are - Linear algebra - Abstract algebra - Number theory - Geometry - Graph theory and combinatorics - Real analysis I aim to graduate in logic or analysis, but that might change! Afterwards, I will research.