Mathematics & Statistics (PhD)
Program overview
Degree: Doctorate (PhD)
Program type: Thesis
Duration: 4 years
Credits: 90 credits
By pursuing a PhD at Concordia's Department of Mathematics and Statistics, you will play a critical role in shaping and advancing the mathematical sciences. Working within a strong research group under the supervision of our faculty members, you will investigate questions and gain expertise in some of the discipline’s most vibrant areas of study. Concordia’s association with the ISM, the CRM, and MITACS opens the door to advanced courses at other Quebec universities, and to internships and collaborative projects in Canada and abroad. With a PhD from our Department, you will be ready to pursue a career in academia or apply cutting-edge research to a field of your choice.
Program Details
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.
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)
| 12 | credits of Comprehensive Examinations: |
| 18 | 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. |
| 60 | credits: |
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) |
Your completed application will include:
- Application form and Fee
- Curriculum Vitae (CV)
- Three Letters of Reference and assessment form
- Statement of purpose (maximum two pages) should:
- describe your research interests and past research experience, if any
- identify specific professors or research groups in the Department of Mathematics and Statistics with whom or which you want to work
- Transcripts for all post-secondary institutions attended
- Proof of Canadian citizenship (if applicable)
- Applicants whose primary language is not English, are required to submit official language test scores, unless exempted.
Please apply online. Read the how-to guide for application procedures.
| DEGREE |
FALL (September) |
WINTER (January) |
SUMMER (May/June) |
| Mathematics | PhD | Feb. 1 | n/a | n/a |
Consult the graduate calendar for a complete list of courses and the department site for current offerings.
The department offers financial support to approximately 25-30 full-time M.A/M.Sc. and Ph.D. students per year. It also awards internal scholarships through organized competitions and allocates research and teaching assistantships. Some scholarships and bursaries are also available through ISM.
Faculty of Arts and Science Fellowships
The Faculty of Arts and Science supports graduate students by awarding one-year Masters fellowships ($7,000). Other awards available through the faculty include:
- Concordia Merit Scholarship
- Concordia University Graduate Fellowship
- Harriet and Abe Gold Endowment
- Hydro-Quebec Graduate Award
- Concordia International Tuition Award of Excellence
- John W. O'Brien Graduate Fellowship
- Clara Strozyk Scholarship
- Out-of-Province Fee Remission Awards
Consideration for Entrance Awards is automatically part of the admissions process for all new students. We also encourage students seeking admission to our program to apply for funding from external sources (e.g. NSERC, FRQNT). An important part of these applications is writing a research project proposal which candidates may discuss with their potential supervisors.
Please also consult Concordia’s graduate funding page and Financial Aid and Awards.
Our faculty members specialize in several research areas:
- Actuarial Mathematics
- Algebra
- Analysis
- Applied Mathematics
- Dynamical Systems
- Financial Mathematics
- Geometry
- Mathematics Education
- Mathematical Physics
- Number Theory
- Probability
- Statistics
Learn more about each area of study and get to know our faculty members.
The Department is part of the Institut des sciences mathématiques (ISM), a unique centre of excellence for graduate training in Mathematics, combining the resources and expertise of the mathematics departments at the four Montreal-area universities, as well as Université de Sherbrooke and Université Laval.
The Department is also associated with the Centre de recherches mathématiques (CRM), a NSERC National Research Centre whose mission is to provide leadership in the development of mathematical sciences in Canada.
To foster interdisciplinary research and cross-specialty collaborations, we maintain close ties with the Department of Computer Science, as well as other departments and universities. A wide range of research seminars and lectures are held regularly throughout the year, many of them being organized in conjunction with other Montreal universities, the ISM and the CRM.
See what our students are working on. Review an inspiring list of thesis topics.
Graduates with a doctorate in mathematics find success in diverse careers, such as:
- Financial analysis
- Risk management
- Investment banking
- Software engineering
- Market research
- Management consultancy
- Operational research
- Data analysis
- Computer programming
- Scientific research and development
- Academia
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