Mathematics and Statistics PhD

Admission Requirements

MSc degree, with high standing in Mathematics, Statistics, or an allied discipline from a recognized university.
Proficiency in English. Applicants whose primary language is not English must demonstrate that their knowledge of English is sufficient to pursue graduate studies in their chosen field. Please refer to the English language proficiency page for further information on requirements and exemptions.

Additional Admission Requirements

Candidates are selected on the basis of their past academic record, letters of recommendation and the relevance of the proposed area of research to the areas of specialization of the Department.

Fast-tracking. Exceptional candidates who have successfully completed one-year's study at the Master's level may, upon approval by the Graduate Studies Committee, be exempted from the required completion of the Master's degree and admitted directly into the PhD program.

Degree Requirements

Fully-qualified candidates are required to complete a minimum of 90 credits.

Please see the Mathematics and Statistics Courses page for course descriptions.

Mathematics and Statistics PhD (90 credits)

credits of Comprehensive Examinations:

• MAST 890 Comprehensive Examination A (6.00)

• MAST 891 Comprehensive Examination B (6.00)

credits chosen from the Mathematics and Statistics PhD Electives and Seminars

The selection of the courses and seminars must be approved by the Graduate Program Director in consultation with the student’s supervisor.

credits:

• MAST 892 Doctoral Thesis (60.00)

Mathematics and Statistics PhD Electives and Seminars

• MATH 630 Topics in the Psychology of Mathematics Education (3.00)

• MAST 831 Class Field Theory (3.00)

• MAST 832 Elliptic Curves (3.00)

• MAST 833 Selected Topics in Number Theory (3.00)

• MAST 834 Selected Topics in Computational Algebra (3.00)

• MAST 837 Selected Topics in Analysis (3.00)

• MAST 838 Selected Topics in Pure Mathematics (3.00)

• MAST 840 Lie Groups (3.00)

• MAST 841 Partial Differential Equations (P.D.E.’s) (3.00)

• MAST 851 Differential Geometric Methods in Physics (3.00)

• MAST 852 Algebro-Geometric Methods in Physics (3.00)

• MAST 853 Gauge Theory and Relativity (3.00)

• MAST 854 Quantization Methods (3.00)

• MAST 855 Spectral Geometry (3.00)

• MAST 856 Selected Topics in Mathematical Physics (3.00)

• MAST 857 Selected Topics in Differential Geometry (3.00)

• MAST 858 Seminar in Mathematical Physics (3.00)

• MAST 859 Seminar in Differential Geometry (3.00)

• MAST 860 Differentiable Dynamical Systems (3.00)

• MAST 861 Absolutely Continuous Invariant Measures (3.00)

• MAST 862 Numerical Analysis of Nonlinear Problems (3.00)

• MAST 863 Bifurcation Theory of Vector Fields (3.00)

• MAST 865 Selected Topics in Dynamical Systems (3.00)

• MAST 868 Seminar in Dynamical Systems (3.00)

• MAST 871 Advanced Probability Theory (3.00)

• MAST 872 Stochastic Processes (3.00)

• MAST 873 Advanced Statistical Inference (3.00)

• MAST 874 Advanced Multivariate Inference (3.00)

• MAST 875 Advanced Sampling (3.00)

• MAST 876 Survival Analysis (3.00)

• MAST 877 Reliability Theory (3.00)

• MAST 878 Advanced Risk Theory (3.00)

• MAST 881 Selected Topics in Probability, Statistics and Actuarial Mathematics (3.00)

• MAST 889 Seminar in Probability, Statistics and Actuarial Mathematics (3.00)

• MAST 898 Seminar in Number Theory (3.00)

• MAST 899 Seminar in Computational Algebra (3.00)

Additional Degree Requirements

Average Time to Completion. Normally a student completes all requirements for the degree, except for the thesis, within two years of entering the program. The normal period for completion of the program, for a student already holding the equivalent of an MA/MSc degree, is three to four years.

Academic Regulations

Academic Standing. Please refer to the Academic Standing section of the Calendar for a detailed review of the Academic Regulations.
Residence. The minimum period of residence is two years of full-time graduate study, beyond the MA/MSc, or the equivalent in part-time study. (A minimum of one year of full-time study is normally expected).
Time Limit. Please refer to the Academic Regulations page for further details regarding the Time Limits.
Graduation Requirement. In order to graduate, students must have a cumulative GPA of at least 3.00.