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- Mathematics and Statistics Admission Requirements and Application Procedures
- Mathematics and Statistics Faculty
- Master of Science (M.Sc.) Mathematics and Statistics (Thesis) (45 credits)
- Master of Science (M.Sc.) Mathematics and Statistics (Thesis): Bioinformatics (48 credits)
- Master of Science (M.Sc.) Mathematics and Statistics (Thesis): Computational Science & Engineering (47 credits)
- Master of Science (M.Sc.) Mathematics and Statistics (Non-Thesis) (45 credits)
- Doctor of Philosophy (Ph.D.) Mathematics and Statistics
- Doctor of Philosophy (Ph.D.) Mathematics and Statistics: Bioinformatics
Mathematics and Statistics
Location
Location
- Department of Mathematics and Statistics
- Burnside Hall, Room 1005
- 805 Sherbrooke Street West
- Montreal QC H3A 0B9
- Canada
- Telephone: 514-398-3800
- Fax: 514-398-3899
- Email: grad.mathstat [at] mcgill.ca
- Website: www.mcgill.ca/mathstat/
About Mathematics and Statistics
About Mathematics and Statistics
The Department of Mathematics and Statistics offers programs that can be focused on applied mathematics, pure mathematics, and statistics leading to master鈥檚 degrees (M.A. or M.Sc.), with program options in Bioinformatics and in Computational Science and Engineering (CSE). The research groups are:
- Algebra;
- Algebraic Geometry;
- Analysis;
- Applied Mathematics;
- Differential Equations;
- Differential Geometry;
- Discrete Mathematics;
- Geometric Group Theory;
- Logic;
- Mathematical Biology;
- Mathematical Physics;
- Number Theory;
- Probability;
- Statistics.
In the basic master鈥檚 programs, students must choose between the thesis option, and the non-thesis option which requires a project. The Bioinformatics and CSE options require a thesis. In addition to the Ph.D. program in Mathematics and Statistics, there is a Ph.D. option in Bioinformatics.
The Department's website provides extensive information on the Department and its facilities, including the research activities and research interests of individual faculty members. It also provides detailed supplementary information concerning our programs, admissions, funding of graduate students, thesis requirements, advice concerning the choice of courses, etc.
Students are urged to consult the , which coordinates intermediate and advanced-level graduate courses among Montreal and Quebec universities. A list of courses available under the ISM auspices can be obtained from the ISM website. The ISM also offers fellowships and promotes a variety of joint academic activities greatly enhancing the mathematical environment in Montreal and in the province of Quebec.
Master of Arts (M.A.) Programs in Mathematics and Statistics
Detailed program requirements for the following M.A. programs are found in Arts > Graduate > Browse Academic Units & Programs > Mathematics and Statistics.
| Master of Arts (M.A.) Mathematics and Statistics (Thesis) (45 credits) |
|---|
|
The Department of Mathematics and Statistics offers programs with concentrations in applied mathematics, pure mathematics, and statistics leading to the master's degree (M.A.). The thesis option requires a thesis and six approved courses. |
| Master of Arts (M.A.) Mathematics and Statistics (Non-Thesis) (45 credits) |
|
The Department of Mathematics and Statistics offers programs with concentrations in applied mathematics, pure mathematics, and statistics leading to the master's degree (M.A.). The non-thesis option requires a project and eight approved courses. |
Master of Science (M.Sc.) Programs in Mathematics and Statistics
Detailed program requirements for the following M.Sc. programs are found in Science > Graduate > Browse Academic Units & Programs > Mathematics and Statistics.
| Master of Science (M.Sc.) Mathematics and Statistics (Thesis) (45 credits) |
|---|
|
The Department of Mathematics and Statistics offers programs with concentrations in applied mathematics, pure mathematics, and statistics leading to the master's degree (M.Sc.). The thesis option requires a thesis and six approved courses. |
| Master of Science (M.Sc.) Mathematics and Statistics (Thesis): Bioinformatics (48 credits) |
|
Bioinformatics research lies at the intersection of biological/medical sciences and mathematics/computer science/engineering. The intention of the Bioinformatics option is to train students to become researchers in this interdisciplinary field. This includes the development of strategies for experimental design, the construction of tools to analyze datasets, the application of modelling techniques, the creation of tools for manipulating bioinformatics data, the integration of biological databases, and the use of algorithms and statistics. Students successfully completing the Bioinformatics option at the M.Sc. level will be fluent in the concepts, language, approaches, and limitations of the field. |
| Master of Science (M.Sc.) Mathematics and Statistics (Thesis): Computational Science & Engineering (47 credits) |
|
CSE is a rapidly growing multidisciplinary area with connections to the sciences, engineering, mathematics, and computer science. CSE focuses on the development of problem-solving methodologies and robust tools for the solution of scientific and engineering problems. |
| Master of Science (M.Sc.) Mathematics and Statistics (Non-Thesis) (45 credits) |
|
The Department of Mathematics and Statistics offers programs with concentrations in applied mathematics, pure mathematics, and statistics leading to the master's degree (M.Sc.).The non-thesis option requires a project and eight approved courses. |
Ph.D. Programs in Mathematics and Statistics
| Doctor of Philosophy (Ph.D.) Mathematics and Statistics |
|---|
|
The Department offers a course of studies leading to the Ph.D. degree. It differs substantially from the master鈥檚 programs in that the student must write a thesis that makes an original contribution to knowledge. The thesis topic is chosen by the student in consultation with the research supervisor. The thesis must be examined and approved by an internal examiner (normally the research supervisor), an external examiner, and the Oral Examination Committee. The student must present an oral defence of the thesis before that Committee. To submit a thesis for examination, the student must first pass comprehensive examinations. |
| Doctor of Philosophy (Ph.D.) Mathematics and Statistics: Bioinformatics |
|
Bioinformatics research lies at the intersection of biological/medical sciences and mathematics/computer science/engineering. The intention of the Bioinformatics option is to train students to become researchers in this interdisciplinary field. This includes the development of strategies for experimental design, the construction of tools to analyze datasets, the application of modelling techniques, the creation of tools for manipulating bioinformatics data, the integration of biological databases, and the use of algorithms and statistics. Students successfully completing the Bioinformatics option at the Ph.D. level will be fluent in the concepts, language, approaches, and limitations of the field and will have the capability of developing an independent bioinformatics research program. |
Mathematics and Statistics Admission Requirements and Application Procedures
Mathematics and Statistics Admission Requirements and Application Procedures
Admission Requirements
Admission Requirements
In addition to the general Graduate and Postdoctoral Studies requirements, the Department requirements are as follows:
Master's Degree
The normal entrance requirement for the master's programs is a Canadian honours degree or its equivalent, with high standing, in mathematics or a closely related discipline in the case of applicants intending to concentrate in statistics or applied mathematics.
Applicants wishing to concentrate in pure mathematics should have a strong background in linear algebra, abstract algebra, and real and complex analysis.
Applicants wishing to concentrate in statistics should have a strong background in linear algebra and basic real analysis. A calculus-based course in probability and one in statistics are required, as well as some knowledge of computer programming. Some knowledge of numerical analysis and optimization is desirable.
Applicants wishing to concentrate in applied mathematics should have a strong background in most of the areas of linear algebra, analysis, differential equations, discrete mathematics, and numerical analysis. Some knowledge of computer programming is also desirable.
Students whose preparation is insufficient for the program they wish to enter may, exceptionally, be admitted to a Qualifying year.
Ph.D. Degree
A master's degree with high standing is required, in addition to the requirements listed above for the master鈥檚 program. Students may transfer directly from the master鈥檚 program to the Ph.D. program under certain conditions. Students without a master's degree, but with exceptionally strong undergraduate training, may be admitted directly to Ph.D. 1.
Application Procedures
Application Procedures
捆绑SM社区鈥檚 online application form for graduate program candidates is available at www.mcgill.ca/gradapplicants/apply.
See University Regulations & Resources > Graduate > Graduate Admissions and Application Procedures > Application Procedures for detailed application procedures.
Additional Requirements
Additional Requirements
The items and clarifications below are additional requirements set by this department:
- Personal Statement 鈥� In the personal statement, the applicants should clearly explain their choice of preferred research group(s) and preferred area(s) of research, as well as providing relevant information that will not be reflected on their transcripts
- Research Proposal (optional) 鈥� If applicants have a specific research problem of interest that they want to pursue, they may discuss the details in the research proposal
- Applicants in pure and applied mathematics should provide a GRE score report, if available
For more details, please consult www.mcgill.ca/mathstat/postgraduate/prospective-students/admissions.
Application Dates and Deadlines
Application Dates and Deadlines
Application opening dates are set by Enrolment Services in consultation with Graduate and Postdoctoral Studies (GPS), while application deadlines are set by the Department of Mathematics and Statistics and may be revised at any time. Applicants must verify all deadlines and documentation requirements well in advance on the appropriate 捆绑SM社区 departmental website; please consult the list at www.mcgill.ca/gps/contact/graduate-program.
| 听 | Application Opening Dates | Application Deadlines | ||
|---|---|---|---|---|
| 听 | All Applicants | Non-Canadian citizens (incl. Special, Visiting & Exchange) | Canadian citizens/Perm. residents of Canada (incl. Special, Visiting & Exchange) | Current 捆绑SM社区 Students (any citizenship) |
| Fall Term: | Sept. 15 | Jan. 15 | Jan. 15 | Jan. 15 |
| Winter Term: | Feb. 15 | Sept. 10 | Sept. 15 | Sept. 15 |
| Summer Term: | N/A | N/A | N/A | N/A |
Admission to graduate studies is competitive; accordingly, late and/or incomplete applications are considered only as time and space permit.
Mathematics and Statistics Faculty
Mathematics and Statistics Faculty
| Chair |
|---|
| David A. Stephens |
| Graduate Program Director |
| Dmitry Jakobson |
| Emeritus Professors |
| William J. Anderson; B.Eng., Ph.D.(McG.) |
| Michael Barr; A.B., Ph.D.(Penn.) (Peter Redpath Emeritus Professor of Pure Mathematics) |
| William G. Brown; B.A.(Tor.), M.A.(Col.), Ph.D.(Tor.) |
| Marta Bunge; M.A., Ph.D.(Penn.) |
| Ian Connell; B.Sc., M.Sc.(Manit.), Ph.D.(McG.) |
| Kohur N. GowriSankaran; B.A., M.A.(Madr.), Ph.D.(Bom.) |
| Paul Koosis; B.A., Ph.D.(Calif., Berk.) |
| Michael Makkai; M.A., Ph.D.(Bud.) (Peter Redpath Professor of Pure Mathematics) |
| Sherwin Maslowe; B.Sc.(Wayne St.), M.Sc., Ph.D.(Calif.) |
| Arak M. Mathai; M.Sc.(Kerala), M.A., Ph.D.(Tor.) |
| Karl Peter Russell; Vor.Dip.(Hamburg), Ph.D.(Calif.) |
| Georg Schmidt; B.Sc.(Natal), M.Sc.(S. Af.), Ph.D.(Stan.) |
| Vanamamalai Seshadri; B.Sc, M.Sc.(Madr.), Ph.D.(Okl.) |
| George P.H. Styan; M.A., Ph.D.(Col.) |
| Kwok Kuen Tam; M.A., Ph.D.(Tor.) |
| John C. Taylor; B.Sc.(Acad.), M.A.(Qu.), Ph.D.(McM.) |
| Jian-Jun Xu; B.Sc., M.Sc.(Beijing), M.Sc., Ph.D.(Rensselaer Poly.) |
| Sanjo Zlobec; M.Sc.(Zagreb), Ph.D.(N'western) |
| Professors |
| Masoud Asgharian; B.Sc.(Shahid Beheshti), M.Sc., Ph.D.(McG.) |
| Peter Bartello; B.Sc.(Tor.), M.Sc., Ph.D.(McG.) (joint appt. with Atmospheric and Oceanic Sciences) |
| Rustum Choksi; B.Sc.(Tor.), M.Sc., Ph.D.(Brown) |
| Henri Darmon; B.Sc.(McG.), Ph.D.(Harv.), F.R.S.C. (James 捆绑SM社区 Professor) |
| Stephen W. Drury; M.A., Ph.D.(Cant.) |
| Christian Genest; B.Sp.Sc.(UQAC), M.Sc.(UQAM), Ph.D.(Br. Col.) (Canada Research Chair) |
| Eyal Z. Goren; B.A., M.S., Ph.D.(Hebrew) |
| Pengfei Guan; B.Sc.(Zhejiang), M.Sc., Ph.D.(Princ.) (Canada Research Chair) |
| Jacques C. Hurtubise; B.Sc.(Montr.), D.Phil.(Oxf.) F.R.S.C. |
| Dmitry Jakobson; B.Sc.(MIT), Ph.D.(Princ.) (Peter Redpath Professor) |
| Vojkan Jaksic; B.S.(Belgrade), Ph.D.(Calif. Tech.) |
| Niky Kamran; B.Sc., M.Sc.(Bruxelles), Ph.D.(Wat.), F.R.S.C. (James 捆绑SM社区 Professor) |
| Adam Oberman; B.S.(Tor.), M.S., Ph.D.(Chic.) |
| Charles Roth; M.Sc.(McG.), Ph.D.(Hebrew) |
| David A. Stephens; B.Sc., Ph.D.(Nott.) |
| John A. Toth; B.Sc., M.Sc.(McM.), Ph.D.(MIT) |
| Adrian Vetta; B.Sc., M.Sc.(LSE), Ph.D.(MIT) (joint appt. with Computer Science) |
| Daniel T. Wise; B.A.(Yeshiva), Ph.D.(Princ.) (James 捆绑SM社区 Professor) |
| David Wolfson; B.Sc., M.Sc.(Natal), Ph.D.(Purd.) |
| Associate Professors |
| Louigi Addario-Berry; B.Sc., M.Sc., Ph.D.(McG.) |
| Antony R. Humphries; B.A., M.A.(Camb.), Ph.D.(Bath) |
| Abbas Khalili; B.S., M.S.(Isfahan Univ. of Tech), Ph.D.(Wat.) |
| Jean-Philippe Lessard; B.Sc.(Sher.), M.Sc.(Montr.), Ph.D.(Georgia Tech.) |
| Jean-Christophe Nave; B.Sc., Ph.D.(Calif., Santa Barbara) |
| Johanna Neslehova; B.Sc., M.Sc.(Hamburg), Ph.D.(Oldenburg) |
| Sergey Norin; M.S.(Saint Petersburg St.), Ph.D.(Georgia Tech.) |
| Mikael Pichot; B.Sc.(Lyon), M.S., Ph.D.(ENS Lyon) |
| Russell Steele; B.S., M.S.(Carn. Mell), Ph.D.(Wash.) |
| Gantumur Tsogtgerel; B.Sc.(Nat. Univ. Mongolia), M.Sc., Ph.D.(Utrecht) |
| Assistant Professors |
| Linan Chen; B.S.(Tsinghua), Ph.D.(MIT) |
| Sarah Harrison; B.Sc.(MIT), Ph.D.(Stan.) (joint appt. with Physics), (Canada Research Chair) |
| Tim Hoheisel; Dipl., Ph.D.(Wurzburg) |
| Jessica Lin; B.A.(NYU), Ph.D.(Chic.) |
| Michael Lipnowski; B.Sc. (Waterloo), Ph.D. (Stanford) |
| Piotr Przytycki; M.Sc., Ph.D.(Warsaw) |
| Brent Pym; B.ScE (Queens), M.Sc., Ph.D. (Toronto) |
| Marcin Sabok; M.Sc., Ph.D.(Warsaw) |
| J茅r么me V茅tois; Ph.D.(Cergy-Pontoise) |
| Yi Yang; B.S.(Sichuan), M.S., Ph.D.(Minn.) |
| Associate Members |
| Xiao-Wen Chang (Computer Science) |
| Pierre R.L. Dutilleul (Plant Science) |
| Leon Glass (Physiology) |
| James A. Hanley (Epidemiology and Biostatistics) |
| Hamed Hatami (Computer Science) |
| Lawrence Joseph (Epidemiology and Biostatistics) |
| Anmar Khadra (Physiology) |
| Michael Mackey (Physiology) |
| Erica E.M. Moodie (Epidemiology and Biostatistics) |
| Prakash Panangaden (Computer Science) |
| Robert W. Platt (Epidemiology and Biostatistics) |
| James O. Ramsay (Psychology) |
| Alexandra Schmidt (Epidemiology and Biostatistics) |
| Kaleem Siddiqi (Computer Science) |
| Christina Wolfson (Epidemiology and Biostatistics) |
| Adjunct Professors |
| Renato C. Calleja; B.S.(Tec. Autonomo de Mexico), Ph.D.(Texas-Austin) |
| Vasek Chvatal; Ph.D.(Wat.) |
| Eliot Freid; B.S.(Calif. Poly. St.), M.S., Ph.D.(Calif. Tech.) |
| Andrew Granville; B.A., CASM(Camb.), Ph.D.(Qu.) |
| Adrian Iovita; B.S.(Bucharest), Ph.D.(Boston) |
| Dimitris Koukoulopoulos; M.Sc., Ph.D.(Ill.-Chic.) |
| Xin Yang Lu; B.Sc., M.Sc., Ph.D.(Pisa) |
| Etienne Marceau; B.Sc., M.Sc.(Laval); Ph.D.(Louvain) |
| Ming Mei; B.Sc., M.Sc.(Jiangxi Normal Uni.), Ph.D.(Kanazawa) |
| M. Ram Murty; B.Sc.(Car.), Ph.D.(MIT), F.R.S.C. |
| Claude-Alain Pillet; M.Sc., Ph.D.(ETH Zurich) |
| Iosif Polterovich; M.Sc.(Moscow St.), Ph.D.(Weizmann Inst.) |
| F. Bruce Shepherd; B.Sc.(Vic., Tor.), M.Sc., Ph.D.(Wat.) |
| Armen Shirikyan; M.Sc., Ph.D.(Moscow St.); Habilitation(Paris-Sud XI) |
| Johannes Walcher; Dip., Ph.D.(ETH Zurich) (joint appt. with Physics) |
| Senior Faculty Lecturer |
| Axel Hundemer; M.Sc., Ph.D.(Munich) |
| Armel Djivede Kelome; M.Sc.(Benin), M.Sc.(McG.), Ph.D.(Georgia Tech.) |
| Faculty Lecturers |
| Jos茅 A. Correa; M.Sc.(Wat.), Ph.D.(Car.) |
| J茅r么me Fortier; B.Sc., M.Sc.(Laval), Ph.D.(UQAM) |
| Jeremy Macdonald; B.Sc., M.Sc.(Alberta), Ph.D.(McG.) |
| Sidney Trudeau; Ph.D.(McG.) |
Master of Science (M.Sc.) Mathematics and Statistics (Thesis) (45 credits)
For more information, see Master of Science (M.Sc.) Mathematics and Statistics (Thesis) (45 credits).
Master of Science (M.Sc.) Mathematics and Statistics (Thesis): Bioinformatics (48 credits)
For more information, see Master of Science (M.Sc.) Mathematics and Statistics (Thesis): Bioinformatics (48 credits).
Master of Science (M.Sc.) Mathematics and Statistics (Thesis): Computational Science & Engineering (47 credits)
Complementary Courses (22 credits)
(minimum 22 credits)
Two courses from List A, two courses from List B, and the remaining credits to be chosen from graduate (500- or 600-level) courses in the Department of Mathematics and Statistics. Two complementary courses must be taken outside the Department of Mathematics and Statistics.
List B - Applications and Specialized Methods Courses:
| ATOC 512 | (3) | Atmospheric and Oceanic Dynamics |
| ATOC 513 | (3) | Waves and Stability |
| ATOC 515 | (3) | Turbulence in Atmosphere and Oceans |
| CIVE 572 | (3) | Computational Hydraulics |
| CIVE 603 | (4) | Structural Dynamics |
| COMP 557 | (3) | Fundamentals of Computer Graphics |
| COMP 558 | (3) | Fundamentals of Computer Vision |
| COMP 567 | (3) | Discrete Optimization 2 |
| COMP 621 | (4) | Program Analysis and Transformations |
| COMP 642 | (4) | Numerical Estimation Methods |
| COMP 767 | (4) | Advanced Topics: Applications 2 |
| ECSE 507 | (3) | Optimization and Optimal Control |
| ECSE 532 | (3) | Computer Graphics |
| ECSE 547 | (3) | Finite Elements in Electrical Engineering |
| ECSE 549 | (3) | Expert Systems in Electrical Design |
| MATH 555 | (4) | Fluid Dynamics |
| MATH 560 | (4) | Optimization |
| MATH 761 | (4) | Advanced Topics in Applied Mathematics 1 |
| MECH 533 | (3) | Subsonic Aerodynamics |
| MECH 537 | (3) | High-Speed Aerodynamics |
| MECH 538 | (3) | Unsteady Aerodynamics |
| MECH 539 | (3) | Computational Aerodynamics |
| MECH 541 | (3) | Kinematic Synthesis |
| MECH 572 | (3) | Introduction to Robotics |
| MECH 573 | (3) | Mechanics of Robotic Systems |
| MECH 577 | (3) | Optimum Design |
| MECH 610 | (4) | Fundamentals of Fluid Dynamics |
| MECH 620 | (4) | Advanced Computational Aerodynamics |
| MECH 632 | (4) | Advanced Mechanics of Materials |
| MECH 642 | (4) | Advanced Dynamics |
| MECH 650 | (4) | Fundamentals of Heat Transfer |
| MECH 654 | (4) | Compt. Fluid Flow and Heat Transfer |
Master of Science (M.Sc.) Mathematics and Statistics (Non-Thesis) (45 credits)
For more information, see Master of Science (M.Sc.) Mathematics and Statistics (Non-Thesis) (45 credits).
Doctor of Philosophy (Ph.D.) Mathematics and Statistics
For more information, see Doctor of Philosophy (Ph.D.) Mathematics and Statistics.
Doctor of Philosophy (Ph.D.) Mathematics and Statistics: Bioinformatics
For more information, see Doctor of Philosophy (Ph.D.) Mathematics and Statistics: Bioinformatics.
