Doctor of Philosophy in Mathematics - Algebraic and Arithmetic Geometry

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically closed field, while arithmetic geometry deals with the more subtle study of solutions lying in a number field or its rings of integers. Both these topics are central to mathematics— and connect to subjects ranging from Number Theory and cryptography to mirror symmetry. Our individual research interests at SFU cover a broad spectrum, including toric geometry, linear subspaces of varieties, modular curves, and rational points on hyperelliptic curves.

Normally, candidates should have a master of science (MSc) degree in mathematics or a related discipline to enter the program.a bachelor's degree, with a cumulative grade point average of at least 3.5/4.0, or a grade point average of at least 3.67/4.33 (A-) based on the last 60 credits of undergraduate courses. Students admitted directly from a bachelor's degree must complete at least 50% of the course work units required for the relevant program's master's program if no course work is required as part of the doctoral degree;ORcompletion of at least 75% of the course work units required for the relevant program’s master’s program, with a cumulative grade point average of at least 3.5.IELTS - The University minimum requirements for English proficiency is an overall band score of 7.0 of the academic (NOT general) test with a minimum of 6.5 in each section. TOEFL - The University minimum requirement for the internet-based exam is a total score of 93, with a minimum score of 20 in each category. For the paper-based TOEFL test, the University normally requires a score of 580, with TWE 5