School of Graduate Studies
Mathematical finance, program overview.
In the 12-month Master of Mathematical Finance (MMF) program , students’ superior math skills are focused on the tools of financial mathematics for an initial four-month period. Students then move immediately into an internship with a firm. Afterwards, students will continue their coursework for the remainder of the school year.
Quick Facts
Master of mathematical finance, program description.
In the MMF program, students reshape their existing analytical abilities with the help of senior academics in mathematics, computer science, statistics, and engineering who have experience with the tools of mathematical finance. This cross-disciplinary approach develops graduates with a richer, more innovative approach to applied mathematics in real-world situations. Some of the faculty are seasoned practitioners from the financial industry while others are from leading firms in the financial software industry, developing applications around requirements like risk management, portfolio analysis, and the pricing of advanced derivatives.
The heart of the program is the four-month internship or campus project. Working on real financial projects, students learn to integrate and apply theoretical knowledge gained earlier in the program. In the internship, students team up with employees of the sponsoring firm to experience how financial mathematics impacts the decision-making processes of a financial services organization.
Minimum Admission Requirements
Applicants are admitted under the General Regulations of the School of Graduate Studies. Applicants must also satisfy the graduate unit's additional admission requirements stated below.
Applicants must have an appropriate bachelor's degree in a quantitative, technical discipline with a minimum of a mid-B standing in the final two years.
Applicants whose primary language is not English and who graduated from a university where the language of instruction was not English must demonstrate proficiency in the English language through the successful completion of the Test of English as a Foreign Language (TOEFL) with minimum scores as follows:
paper-based TOEFL exam: 580 and 5 on the Test of Written English (TWE)
Internet-based TOEFL exam: 93/120 and 22/30 on the writing and speaking sections
Applicants must also show evidence of strong mathematical ability. Appropriate workplace experience will be considered in lieu of formal education.
Admission to the program is competitive. Those accepted into the program will normally have achieved a standing considerably higher than the minimum mid-B standing or have demonstrated exceptional ability through appropriate workplace experience.
Applicants must satisfy the Admissions Committee of their ability to do rigorous quantitative analysis at an advanced level. The broad background required for this program makes it likely that many strong applicants will not possess all the background requirements. It is expected that applicants will have extra depth in certain areas and need to do additional work in others. Admission may be conditional upon the applicant's satisfactory completion of the required background material.
Applicants should submit a written statement of approximately 300 words outlining their objectives for entering the program. Applicants should also explain how their background is appropriate. An interview may be required.
Inquiries about part-time options for the program should be addressed to the Program Director.
Program Requirements
The program of study begins in mid-August and includes a four-month internship during the second session. Students will be responsible for obtaining their own internship. In cases where the student is taking a leave of absence from an appropriate job, it is expected that the student will return to this job for the internship. In all cases, the Director must approve the placement.
Students will proceed through the program as a group, following a common course of study. The course of study will be fully integrated and computer-laboratory intensive. Course projects and assignments will be designed to integrate the material learned from a variety of the courses and to utilize it in a practical context. Excellent communication and presentation skills will be emphasized in both the oral and written components of the projects.
Students must complete all required courses listed below.
Program Length
3 sessions full-time (typical registration sequence: F/W/S)
3 years full-time
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The PhD specialization in Finance at McGill prepares students for research-oriented academic careers. While students from all backgrounds are encouraged to apply, the typical student holds an undergraduate or a master's degree in economics, finance, mathematics, statistics, computer science, engineering or physics.
The program is normally completed in five years. The first two years in the program are devoted primarily to taking courses in finance, as well as supporting disciplines (economics, mathematics and econometrics/statistics). After the first two years, students enter the dissertation phase of the program. For details on the Finance Area, research domains, publications and working papers, visit the Desmarais Global Finance Research Centre website.
Numerous required and elective doctoral courses are offered by the McGill Finance Faculty, including:
- Financial Economics
- Corporate Finance
- Empirical Methods in Finance
- Continuous-Time Finance
- International Finance
- Fixed Income Securities Theory
- Corporate Governance
Faculty and Research
The McGill Finance area includes fourteen faculty members who regularly publish in the top finance journals. The moderate size of the program (currently we have 13 Ph.D. students in residence) make it possible for the students to closely interact with the faculty and to benefit from personalized attention and support. Because the faculty's interests span a wide spectrum of specialized fields in finance, students enjoy a lot of freedom in the choice of their dissertation topic.
Related Content
Insightful research for visionary management.
See the PhD Program Finance Postcard
Finance members
Department and university information, desautels faculty of management mcgill university.
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Study and Work in Mathematical Finance in Canada
Graduate Mathematical Finance Admission Requirements The prequisites required to become accepted in an graduate and/or post-graduate PhD program in Mathematical Finance.
What Mathematical Finance Students Learn Topics and concepts that are covered and the overall approach or focus taken in studying Mathematical Finance.
Research in Mathematical Finance Research areas, topics, interests projects in Mathematical Finance.
Career and Employment Opportunities in Mathematical Finance Professions or occupations available to graduates in Mathematical Finance and links to employment resources.
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Haskayne PhD
Generous Funding Package
Our funding package is one the most generous among the Canadian business schools. We pay full tuition to all students admitted. We provide in excess of $120,000 over four years plus partial funding in year 5 to all incoming PhD students. We also support each student’s participation and attendance at academic conferences (subject to approval) to encourage presenting research and building networks.
The main mission of the PhD program in Accounting at the Haskayne School of Business, University of Calgary, is to prepare prospective faculty members for positions at reputable business schools in Canada and around the world. Our graduates teach and research in schools such as American University of Cairo, Concordia University, Mount Royal University, University of Ottawa, Royal Roads University. University of Texas-Pan American and York University.
Some of the factors that make our graduates successful include a rigorous admission process, training in core business, accounting, and statistics. In addition to five core seminars in business and research methodology, our students are required to complete four seminars in accounting research, one seminar in a minor area (Corporate Sustainability and Finance are popular choices) and two statistics courses. For their seminar courses students are required to take Managerial Accounting Seminar, Financial Accounting Seminar, and Paradigms, Issues, and Methods. They may choose from other optional courses including Evaluating Environmental Performance, Tax, Advanced Financial, and Advanced Managerial or other Special Topics (as a directed study). Additionally, the Accounting Area holds a regular series of research presentations by our faculty members and well-known researchers from other universities, as part of or independently of these courses. With help from their professors, PhD students undertake their own research project through a summer research program at the end of their first year, which may be further developed for conference presentation and/or expanded into dissertation research. PhD students are frequently provided with opportunities to work with professors on accounting research projects.
Financial aid is available to some of our students through the Chartered Accountants Education Foundation, and the Certified Management Accountants. Please view their websites for specific requirements for applying. PhD students, along with professors, can apply for small amounts of funding to support research projects through the Certified Management Accountants and Certified General Accountants internal research competitions. Other competitive awards that may be of interest to support research are the Peter Valentine Corporate Governance Award and the Enbridge Corporate Sustainability Award Doctoral Scholarship, if doing research on these topics.
When ready, students are encouraged to attend and present papers at the Canadian Academic Accounting Association (CAAA), the American Accounting Association (AAA), the European Accounting Association (EAA), and the Administrative Sciences Association of Canada (ASAC). Students can also attend the Contemporary Accounting Research (CAR) conference as a PhD participant. Other conferences of regional or special interest, depending on the student’s area of research, may also be encouraged. There are also a number of PhD doctoral consortiums that can be attended.
PhD students are free to select their own topic of interest for their dissertation research; however, most students choose a topic of interest they may share with one of the accounting professors. Some topics that have been investigated in the past include international accounting, capital markets, intellectual capital, public sector accounting, managerial performance systems, and corporate sustainability. Methods include experimental, events studies using archival data, case studies, empirical analysis, and others. Both qualitative and quantitative methods are used as well. Our graduates publish in such quality journals as Journal of Accounting Research (JAR), Contemporary Accounting Research (CAR), Accounting, Organization and Society (AOS), and Journal of Business Ethics. Many of our graduates serve as associate editors or in the editorial boards of reputable journals.
Area chair: Dr. Mark Anderson , Associate Professor
The Ph.D. Program in Management Information Systems (MIS), which also goes under the name Business Technology Management (BTM), at the Haskayne School of Business (HSB) is a research-based program designed to prepare candidates to become strong scholars at universities and other research-based institutions.
The focus of the Ph.D. program in MIS/BTM at HSB is on the economics of information systems, otherwise known as the “econ of IS”, and related areas. The course work, which covers about two years, is designed to prepare the candidates in economics, econometrics, research methods, quantitative methods, and state-of-the-art research in the econ of IS.
Active participation in research with one or more faculty members begins no later than the first summer. All research faculty in MIS/BTM have one or more publications in the field’s top journals, and this provides a strong basis for guidance and future prospects.
Recent research areas include:
- Productivity impacts of Information technology (IT)
- E-commerce and channels of distribution
- Electronic retailing
- Platform-mediated networks
- Online data and reputations
- Economics of user-generated content
- Business process reengineering
- IT outsourcing
- Adaptive control in scheduling
- Price quotation in supply chains
- IT and organizational design
- IT applications in healthcare
Area chair: Dr. Raymond A. Patterson , Professor
Researchers:
- Dr. Barrie R. Nault
- Dr. Ray Patterson
- Dr. Hooman Hidaji
- Dr. Duy Dao
- Dr. Jian (Ray) Zhang
The Haskayne PhD in Entrepreneurship and Innovation offers students an opportunity to work with faculty who are committed to excellence in theoretical foundations and a variety of research methodologies, preparing them for academic careers.
Entrepreneurship and Innovation (ENTI) is an interdisciplinary domain that focuses on the activities, people and context involved in initiating, developing, and maintaining an enterprise or innovation. Among topics of interest are new venture opportunities, strategies, and resources; entrepreneurship ecosystems; the owner-manager; the relationship between entrepreneurship and economic development; family business; crowdfunding; start-up governance; social entrepreneurship; intrapreneurship; and international entrepreneurship and policy.
In addition, because entrepreneurship often involves technological innovations, the specialization includes scholarship and dialogue on the management of innovation and technological change, technology strategy, technology-based entrepreneurship, and the commercialization of scientific research.
We encourage students to examine the questions of the field from multiple perspectives and draw upon a wide range of foundational disciplines, including economics, mathematics, philosophy, psychology, and sociology.
Area chair: Dr. Olga Petricevic , Associate Professor
The PhD program in Finance at the Haskayne School of Business is a technical, rigorous, academic program designed to prepare you for a career as a researcher and scholar. You will get a solid education in the mainstreams of finance research and be trained in the professional skills that are necessary to pursue a successful career in academia. The program is intense and requires a lot of dedication and a positive work attitude. Our faculty will work with students in all major areas of finance research including: corporate finance, asset pricing, banking, corporate governance, mathematical finance, and entrepreneurship. You will work with your advisor to select finance courses that will optimally prepare you for your chosen field of study. To augment the finance courses, students are often encouraged to take classes from mathematics and/or economics. Please visit our University of Calgary Calendar for a description of available courses and prerequisites.
Area chair: Dr. Kyoung Jin Choi , Associate Professor
Organizational Behaviour and Human Resources | Strategy & Global Management
The doctoral programs in SGMA and OBHR are closely aligned, and encourage students to adopt multi-disciplinary and multi-methodology approaches in their research.
The key question to be answered in any SGMA or OBHR thesis is always: how to increase the effectiveness and/or efficiency of a managerial practice with a view to contribute to the firm’s competitive advantage?
There is considerable flexibility in choosing the thesis subject, i.e., the selected managerial practice’s nature and scope. Such practice may be observable at the level of the individual decision-maker, a team, a sub-unit within the firm, the firm, a strategic alliance or even an industry.
Answering the key question in a SGMA or OBHR dissertation must build on solid conceptual foundations and take advantage of state-of-the-art empirical methodologies, both in the quantitative and qualitative sphere.
Students are encouraged to adopt an integrative approach, drawing conceptual insight from foundational disciplines such as applied psychology, micro-economics (especially the law, economics and organization branch of micro-economics) and other complementary disciplines with proven potential to answer in a rigorous fashion the key question considered.
The focus should be on gaining an in-depth understanding of the practice at hand in terms of its strengths (or benefits) and weaknesses (or costs), and on developing or evaluating a set of actionable paths towards improving the practice.
For example, work on non-market strategies of firms may require delving into political science, the institutional-theory strand of sociology, and law. As another example, work on designing effective human resources management practices in multinational enterprises may require a serious grounding in conceptual frameworks related to societal culture and organizational behaviour, and deep knowledge of the modern economics-based theory of the multinational enterprise.
All SGMA and OBHR students will be expected to master advanced statistics as used in the leading management journals (such as the Academy of Management Journal), and have an equivalent command of qualitative research methods .
The SGMA and OBHR doctoral programs will provide the PhD students with the multi-disciplinary and multi-methodology training required to examine issues of managerial effectiveness and efficiency in a large variety of organizational settings.
Students will be supervised by a select group of Haskayne faculty members, who have published in leading academic journals and whose expectation is that each thesis will consist of a set of high quality essays publishable in refereed journals. These faculty members have a history of co-publishing with their students on a wide variety of topics, ranging from the determinants of job satisfaction, to meta-analyses on a wide variety of organizational phenomena, and the strategy and structure of the world’s largest companies. Take a look at the SGMA and OBHR faculty members’ research records to see if there is an overlap in interests.
OBHR Area chair: Dr. Nick Turner , Professor, Distinguished Research Chair, ABL
SGMA Area chair: Dr. Pengfei Li , Associate Professor
The Haskayne School of Business (HSB) doctoral degree in Marketing is a rigorous, research-based academic program designed to prepare you for a career as a marketing scholar. This program is intensive and the expectations are high. At graduation, you will have developed a solid theoretical foundation and strong analytical skills to prepare you for a career in university teaching and research.
All HSB doctoral students are paired with a supervisor from the first day, and you will have opportunities very early in your program to develop close working relationships with faculty members as you become involved in faculty-led research projects (generally toward the end of your first year). These research projects reflect our faculty’s research interests, which are varied and include:
- Consumer Behaviour
- Decision Making
- Product Management/New Product Development
- Relationship Marketing
- Ethics/Social Responsibility
- Sustainability
- International & Global Marketing
- Services Marketing
- Cross-Cultural Marketing Research
- Methodological Issues
Marketing is an interdisciplinary field that draws theories and methodologies from a number of founding disciplines, including economics, psychology, sociology, strategy, and statistics. Depending on your research interests, you will be encouraged to take courses in the foundational disciplines to complement your marketing training. You will also be encouraged to take several courses in statistics and quantitative methods. Please visit our University of Calgary Calendar for a description of available courses and prerequisites.
Area chair: Dr. Scott Radford , Associate Professor
As a doctoral student in the Operations and Supply Chain Management (OSCM) area, you will have the opportunity to work closely with faculty members who are dedicated to excellence in both research and teaching. Two particular research strengths of our faculty are:
- Health care operations management, specifically health care delivery optimization through addressing problems of access to care and quality/safety, employing quantitative tools as well as qualitative and empirical studies of health services, and
- Supply chain management, encompassing all aspects, from operations strategy – maximizing responsiveness through flexibility, collaboration and logistics – through supply chain network design, including facility layout and location.
Coursework will be tailored to individual interests but will include a series of seminars to provide in-depth knowledge of research in operations management and exposure to a variety of management science techniques.
Area chair: Dr. Osman Alp , Professor
The Haskayne School of Business (HSB) doctoral degree in Risk Management and Insurance is a rigorous, research-based academic program. This program is intensive and the expectations are high. At graduation, you will have developed a solid theoretical foundation and strong analytical skills to prepare you for a career in university teaching and research.
- Enterprise risk management
- Corporate governance
- Disaster resilience
- Distribution systems in insurance
- Merger and acquisition activity in the insurance industry
- Competitiveness and efficiency of the insurance industry
- Tort versus no-fault liability systems
- Public policy issues surrounding social insurance systems and pensions
- Risk communication
Risk management and insurance are interdisciplinary fields that draw theory and methodologies from a number of founding disciplines, including economics, law, psychology, and statistics. Depending on your research interests, you will be encouraged to take courses in the foundational disciplines to complement your marketing training. You will also be encouraged to take courses in both qualitative and quantitative methods. Please visit our University of Calgary Calendar for a description of available courses and prerequisites.
Please note: Applicants interested in financial risk management should visit the page for FINANCE.
Area chair: Dr. Anne Kleffner , Professor
Cross-Disciplinary Programs
The business school supports the efforts of students wishing to combine a doctoral program in management with doctoral studies in another discipline. These joint programs are individually tailored to meet student interests and needs. Students in cross-disciplinary programs must be highly qualified because it is difficult to meet the standards of two specializations.
Interested in learning more?
If you are interested in learning more about the Haskayne PhD program, application requirements and deadlines, please contact us.
- Doctor of Philosophy in Mathematics (PhD)
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Canadian Immigration Updates
Applicants to Master’s and Doctoral degrees are not affected by the recently announced cap on study permits. Review more details
Go to programs search
Mathematicians use theoretical and computational methods to solve a wide range of problems from the most abstract to the very applied. UBC's mathematics graduate students work in many branches of pure and applied mathematics. The PhD program trains students to operate as research mathematicians. The focus of the program is on substantial mathematical research leading to the PhD dissertation. Students also develop their skills in presenting and teaching mathematics and its applications.
For specific program requirements, please refer to the departmental program website
What makes the program unique?
UBC has one of the largest and most vigorous departments of mathematics in Canada. Our faculty routinely win national and international awards for their research and teaching achievements. We have an engaged and sociable cohort of graduate students who are essential members of a broad selection of active research groups. Each group holds a variety of seminars and events that allow graduate students, postdoctoral fellows, visitors and faculty to enjoy regular interaction.
UBC is the headquarters for the Pacific Institute of Mathematical Sciences (PIMS). PIMS hosts a plethora of mathematical events such as conferences and summer schools, greatly enriching the scientific environment in the quantitative sciences at UBC. Our mathematics students are also regular participants at the nearby Banff International Research Station for Mathematical Innovation and Discovery. Finally, our Institute for Applied Mathematics provides options for interdisciplinary studies for PhD students who wish to work in applied and computational mathematics.
I chose UBC because of the reputation of the university and mathematics department, the alignment of my research interests with my advisor’s expertise, and my love for Canada!
Ethan White
Quick Facts
Program enquiries, admission information & requirements, 1) check eligibility, minimum academic requirements.
The Faculty of Graduate and Postdoctoral Studies establishes the minimum admission requirements common to all applicants, usually a minimum overall average in the B+ range (76% at UBC). The graduate program that you are applying to may have additional requirements. Please review the specific requirements for applicants with credentials from institutions in:
- Canada or the United States
- International countries other than the United States
Each program may set higher academic minimum requirements. Please review the program website carefully to understand the program requirements. Meeting the minimum requirements does not guarantee admission as it is a competitive process.
English Language Test
Applicants from a university outside Canada in which English is not the primary language of instruction must provide results of an English language proficiency examination as part of their application. Tests must have been taken within the last 24 months at the time of submission of your application.
Minimum requirements for the two most common English language proficiency tests to apply to this program are listed below:
TOEFL: Test of English as a Foreign Language - internet-based
Overall score requirement : 100
IELTS: International English Language Testing System
Overall score requirement : 7.0
Other Test Scores
Some programs require additional test scores such as the Graduate Record Examination (GRE) or the Graduate Management Test (GMAT). The requirements for this program are:
The GRE is not required.
2) Meet Deadlines
3) prepare application, transcripts.
All applicants have to submit transcripts from all past post-secondary study. Document submission requirements depend on whether your institution of study is within Canada or outside of Canada.
Letters of Reference
A minimum of three references are required for application to graduate programs at UBC. References should be requested from individuals who are prepared to provide a report on your academic ability and qualifications.
Statement of Interest
Many programs require a statement of interest , sometimes called a "statement of intent", "description of research interests" or something similar.
Supervision
Students in research-based programs usually require a faculty member to function as their thesis supervisor. Please follow the instructions provided by each program whether applicants should contact faculty members.
Instructions regarding thesis supervisor contact for Doctor of Philosophy in Mathematics (PhD)
Citizenship verification.
Permanent Residents of Canada must provide a clear photocopy of both sides of the Permanent Resident card.
4) Apply Online
All applicants must complete an online application form and pay the application fee to be considered for admission to UBC.
Tuition & Financial Support
Financial support.
Applicants to UBC have access to a variety of funding options, including merit-based (i.e. based on your academic performance) and need-based (i.e. based on your financial situation) opportunities.
Program Funding Packages
All full-time students who begin a UBC-Vancouver PhD Mathematics program in September 2018 or later will be provided with a funding package of at least $24,256 for each of the first four years of their PhD. The funding package may consist of any combination of internal or external awards, teaching-related work, research assistantships, and graduate academic assistantships.
Average Funding
- 52 students received Teaching Assistantships. Average TA funding based on 52 students was $13,784.
- 48 students received Research Assistantships. Average RA funding based on 48 students was $11,580.
- 3 students received Academic Assistantships. Average AA funding based on 3 students was $1,814.
- 54 students received internal awards. Average internal award funding based on 54 students was $13,279.
- 4 students received external awards. Average external award funding based on 4 students was $27,083.
Scholarships & awards (merit-based funding)
All applicants are encouraged to review the awards listing to identify potential opportunities to fund their graduate education. The database lists merit-based scholarships and awards and allows for filtering by various criteria, such as domestic vs. international or degree level.
Graduate Research Assistantships (GRA)
Many professors are able to provide Research Assistantships (GRA) from their research grants to support full-time graduate students studying under their supervision. The duties constitute part of the student's graduate degree requirements. A Graduate Research Assistantship is considered a form of fellowship for a period of graduate study and is therefore not covered by a collective agreement. Stipends vary widely, and are dependent on the field of study and the type of research grant from which the assistantship is being funded.
Graduate Teaching Assistantships (GTA)
Graduate programs may have Teaching Assistantships available for registered full-time graduate students. Full teaching assistantships involve 12 hours work per week in preparation, lecturing, or laboratory instruction although many graduate programs offer partial TA appointments at less than 12 hours per week. Teaching assistantship rates are set by collective bargaining between the University and the Teaching Assistants' Union .
Graduate Academic Assistantships (GAA)
Academic Assistantships are employment opportunities to perform work that is relevant to the university or to an individual faculty member, but not to support the student’s graduate research and thesis. Wages are considered regular earnings and when paid monthly, include vacation pay.
Financial aid (need-based funding)
Canadian and US applicants may qualify for governmental loans to finance their studies. Please review eligibility and types of loans .
All students may be able to access private sector or bank loans.
Foreign government scholarships
Many foreign governments provide support to their citizens in pursuing education abroad. International applicants should check the various governmental resources in their home country, such as the Department of Education, for available scholarships.
Working while studying
The possibility to pursue work to supplement income may depend on the demands the program has on students. It should be carefully weighed if work leads to prolonged program durations or whether work placements can be meaningfully embedded into a program.
International students enrolled as full-time students with a valid study permit can work on campus for unlimited hours and work off-campus for no more than 20 hours a week.
A good starting point to explore student jobs is the UBC Work Learn program or a Co-Op placement .
Tax credits and RRSP withdrawals
Students with taxable income in Canada may be able to claim federal or provincial tax credits.
Canadian residents with RRSP accounts may be able to use the Lifelong Learning Plan (LLP) which allows students to withdraw amounts from their registered retirement savings plan (RRSPs) to finance full-time training or education for themselves or their partner.
Please review Filing taxes in Canada on the student services website for more information.
Cost Estimator
Applicants have access to the cost estimator to develop a financial plan that takes into account various income sources and expenses.
Career Outcomes
88 students graduated between 2005 and 2013: 1 is in a non-salaried situation; for 19 we have no data (based on research conducted between Feb-May 2016). For the remaining 68 graduates:
Sample Employers in Higher Education
Sample employers outside higher education, sample job titles outside higher education, phd career outcome survey, career options.
A great majority of our PhD graduates move on to postdoctoral fellowships and faculty positions at universities and research institutes in North America and around the world. However, a significant fraction of students move into careers in industry. Students considering non-academic careers are encouraged to complete an industrial internship (for instance through the Mitacs Accelerate program - headquartered at UBC) during their studies.
Enrolment, Duration & Other Stats
These statistics show data for the Doctor of Philosophy in Mathematics (PhD). Data are separated for each degree program combination. You may view data for other degree options in the respective program profile.
ENROLMENT DATA
Completion rates & times, upcoming doctoral exams, monday, 27 may 2024 - 12:30pm - room 203, thursday, 30 may 2024 - 10:00am - 203, mathematics building, 1984 mathematics road, friday, 5 july 2024 - 9:00am - room 200.
- Research Supervisors
Advice and insights from UBC Faculty on reaching out to supervisors
These videos contain some general advice from faculty across UBC on finding and reaching out to a supervisor. They are not program specific.
This list shows faculty members with full supervisory privileges who are affiliated with this program. It is not a comprehensive list of all potential supervisors as faculty from other programs or faculty members without full supervisory privileges can request approvals to supervise graduate students in this program.
- Adem, Alejandro (Cohomology of finite groups, orbifolds, stringy topology, algebra, sporadic simple group, group actions, arithmetic groups, K-theory, homotopy theory, spaces of homomorphisms)
- Angel, Omer (Probability theory, percolation, random graphs, random walks, particle processes, scaling limits)
- Bachmann, Sven (Mathematics and statistics; Mathematical Analysis; quantum phenomena; Mathematical physics; Quantum statistical physics; Topological states of matter)
- Balmforth, Neil (Fluid mechanics, nonlinear dynamics and applied partial differential equations)
- Behrend, Kai (Moduli spaces, Gromov-Witten invariants, string theory, Donaldson-Thomas invariants, Euler characteristics, categorification)
- Bennett, Michael (Number Theory, Diophantine Approximation and Classical Analysis)
- Bryan, Jim (Algebraic and differential geometry; Algebraic geometry, moduli spaces, enumerative invariants related to theoretical physics.)
- Cautis, Sabin (Mathematics and statistics; Geometry)
- Chau, Albert (Differential Geometry and Partial Differential Equations)
- Chen, Jingyi (Algebraic and differential geometry; Differential Geometry, Partial Differential Equations)
- Colliander, James (hamiltonian dynamical systems; partial differential equations; harmonic analysis)
- Coombs, Daniel (Mathematical biology; Cellular immunology; Complex physical systems; Epidemiology (except nutritional and veterinary epidemiology); Cell Signaling and Infectious and Immune Diseases; Cell biophysics; Disease models; Epidemiology; Immune cell signalling; Mathematics)
- Cytrynbaum, Eric (Bacterial cell division, Microtubule and cellular organization, Wave propagation in excitable media)
- Dao Duc, Khanh (Genomics; Mathematical biology; Neurocognitive patterns and neural networks; Agricultural spatial analysis and modelling; combine mathematical,computational and statistical tools to study fundamental biological processes; regulation and determinants of gene expression and translation; Machine Learning for Biological Imaging and Microscopy; Database development and management; Biological and Artificial Neural Networks for geometric representation)
- Doebeli, Michael Walter (Mathematical ecology and evolution, evolution of diversity, adaptive speciation, evolution of cooperation, game theory, experimental evolution in microorganisms)
- Feng, James (Chemical engineering; Mathematics and statistics; Biophysics; Complex fluids; Fluid mechanics; Mathematical biology)
- Fraser, Ailana (Differential Geometry, Geometric Analysis)
- Friedlander, Michael (numerical optimization, numerical linear algebra, scientific computing, Scientific computing)
- Frigaard, Ian (Fluid mechanics (visco-plastic fluids))
- Ghioca, Dragos (Drinfeld modules, isotrivial semiabelian varieties, Lehmer inequality)
- Gordon, Julia Yulia (Representation theory of p-adic groups and motivic integration; Trace Formula and its applications)
- Gustafson, Stephen James (Mathematics and statistics; Mathematical Analysis; Differential Equation; Global and Non-Linear Analysis; Mathematical physics; Nonlinear partial differential equations; Nonlinear waves; Topological solitons)
- Hauert, Christoph (Mathematics and statistics; Modelization and Simulation; Evolution and Phylogenesis; Biological Behavior; dynamical systems; evolution; game theory; social dilemmas; stochastic processes)
- Hermon, Jonathan (probability theory; Markov chains and the cutoff phenomenon; particle systems; percolation)
- Holmes-Cerfon, Miranda (Mathematical modelling and simulation; Computational methods in statistics; Numerical analysis; Thermodynamics and statistical physics)
Doctoral Citations
Sample thesis submissions.
- Free boundary minimal submanifolds in geodesic balls of simply connected space forms
- On a completion of cohomological functors generalizing Tate cohomology
- Distribution of integral points on varieties
- Effective and explicit S-unit equations with many terms
- Classifying space for commutativity and unordered flag manifolds
- Finite-size scaling of a few statistical physics models in high dimensions
- Residual supersingular Iwasawa theory and μ-invariants for Zₚ²-extensions
- Numerical methods for biological flows laden with deformable capsules and solid particles
- The construction of blow-up solutions for some evolution equations
- Topics in discrete analysis
- Inviscid damping phenomena in some fluid models
- Gibbs measures and factor codes in symbolic dynamics
- Deep reinforcement learning agents for industrial control system design
- Structure-preserving numerical schemes for phase field models
- Enumerative geometry problems for Calabi-Yau manifolds with an action
Related Programs
Same specialization.
- Master of Science in Mathematics (MSc)
At the UBC Okanagan Campus
Further information, specialization.
Mathematicians use theoretical and computational methods to solve a wide range of problems from the most abstract to the very applied. UBC's mathematics graduate students work in many branches of pure and applied mathematics.
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Departments/Programs may update graduate degree program details through the Faculty & Staff portal. To update contact details for application inquiries, please use this form .
Nicholas Richardson
Having grown up outside of Toronto and completed my undergrad and master's degree at the University of Waterloo, I was ready to change the scenery and go study somewhere else. I joke that is it the farthest I could move without leaving Canada, but more truthfully it was the campus that felt "right...
Gabriel Currier
I quite like the kind of math that people do here, and enjoy working with my supervisors. The campus is also a beautiful place and the graduate student community is pretty laid back and friendly.
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Many factors contributed to my choice of UBC for graduate school. I was attracted to Vancouver’s geographical similarities to Portland in the pacific northwest. Also, I have family in the area. However, most importantly, I was intrigued and inspired by my professors and advisors to take on the...
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Rotman Finance offers top-tier training from some of the world’s leading experts in fields such as risk management, corporate governance, delegated asset management, and behavioural finance. The PhD Program in Finance at the Rotman School trains prospective scholars to become highly skilled and innovative researchers and teachers, and to prepare them for careers as faculty members at premier academic institutions throughout the world.
Strengths of the Program
Rotman Finance offers top-tier training from some of the world's leading experts in fields such as risk management, corporate governance, delegated asset management, and behavioural finance. Students are assigned faculty mentors upon admission and work closely with faculty throughout the program. We train prospective scholars to become highly skilled and innovative researchers and teachers.
Admission to the Program
The PhD Program in Finance is looking for accomplished graduate and undergraduate students, with strong backgrounds in economics, finance, quantitative methods or related fields. Our admission is highly competitive. We encourage you to explore our website to discover what makes a successful candidate.
PhD Courses
Rotman PhD courses in finance stream provide a strong base in finance theory, economics and empirical methods. Preview course offerings here.
Program Structure and Requirements
The PhD program in Finance is an intense academic exercise providing effective training for an academic career. Our program includes required courses, comprehensive examinations, research paper presentations as well as the final dissertation.
Current PhD Students
The doctoral students in the Finance stream are a key strength of the Rotman School. After graduation, these students will go on to work at some of the world's top universities, helping to extend the reputation of Rotman and of the University of Toronto.
Meet the Rotman Finance faculty.
Faculty by Research Focus
As a PhD student you will work closely with faculty that share your research interests, are working on similar areas, or can provide a new perspective. Find out what our faculty members are currently working on here.
Risk Management Research Team
Exciting research opportunities at Rotman abound. Learn about a new research team in Risk Management.
ICPM Grant on Corporate Governance
Exciting research opportunities at Rotman abound. Learn about a new research project on Governance.
- APPLY TO MMF
- HIRE A QUANT
- CURRENT STUDENTS
- MMF E-LEARNING
MMF Applications Open October 1 2024
Applications for Fall 2025 entry will open on October 1 2024.
If you are interested in joining the MMF Program in the future, click here for more information on MMF’s application criteria, and be sure to follow MMF on LinkedIn , YouTube , Instagram , Twitter , Facebook , and Spotify for more updates throughout the year.
MMF Blog: 2023-24 Squarepoint Scholars
Last fall, the Squarepoint Foundation awarded scholarships to six Master of Mathematical Finance (MMF) grads from the class of 2024. They share what it means to be recognized.
MMF Ranked A Top-25 Quant Program By Risk.net
This year’s Risk.net annual ranking of the top Quant Finance Master’s programs has been released. MMF has moved up five places to 13th, and it’s still the only Canadian university to be in the top 25 programs listed.
Established in 1998 MMF remains at the forefront of training in quantitative finance. MMF is a boutique Program admitting a select number of students each year who will move through the Program as one cohort. The boutique nature of our Program means that students will learn in smaller class sizes, have the opportunity to build lasting bonds with their classmates and work in industry-like teams to complete projects and presentations.
If you have advanced math, statistics and programming skills you may be a great fit for Quantitative Finance. After 12 months of training your Master of Mathematical Finance degree prepares you to join a dynamic and growing industry
Financial Mathematics is one of the fastest growing areas of applied mathematics. Institutions that employ financial mathematicians are among the wealthiest and most sophisticated corporations in the world. A career in financial mathematics provides you with an invigorating combination of intellectual challenge and accelerated professional growth.
A fast-track Program
During your 12 months of training in MMF your superior quantitative skills are focused on the tools of financial mathematics for the initial 4 months of course work. You then move into a full-time 4 month internship with one of our industry partners. Finally, you will complete course work during the last 4 months of the Program.
Applied mathematics in business is as demanding and interesting as it is in the sciences, engineering or technology
You may join an institution (hedge fund, bank, government or pension plan) with multibillion-dollar investment portfolios. You may manage sophisticated hedge funds, complex derivatives, assess the risk in a bank’s commercial loans portfolio or develop original software applications for financial markets. There have been Nobel Prizes awarded for work in financial mathematics.
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Mathematics and Statistics
Doctor of Philosophy (PhD)
Thesis-based program
Program overview.
Doctoral students in mathematics and statistics contribute original thought to a discipline that has developed in richness and complexity from antiquity to the present day. Students will choose to focus on a pure mathematical area such as combinatorics, discrete mathematics, geometry, logic, number theory and cryptography, analysis or even mathematical physics; or on theoretical research in probability or statistics. Or you may choose to work in industrial mathematics and operations research, with application in biology and medicine, biomedical statistics, energy or financial markets, mathematical finance, actuarial science, geoscience, medical imaging, software and computer applications, and big data analysis.
Completing this program
- Mathematics Courses: Topics may include measure and integration, analysis, algebraic geometry, number theory, scientific modelling and more.
- Statistics Courses: Topics may include probability, estimation, hypothesis testing and more.
- Seminars: In addition to required courses, students register in a research seminar in either actuarial science, biostatistics, mathematics, or statistics (depending on student's specialization).
- Presentations: Students are required to give three invited or contributed presentations during the degree program.
- Preliminary Examinations: Doctoral students must pass written Preliminary Examinations no later than 18 months from the beginning of their program and before completing Candidacy.
- Candidacy: Students will complete both oral and written candidacy exams.
- Thesis: Students will be required to submit and defend an original research thesis.
Specializations
- Mathematics
- Biostatistics (Interdisciplinary)
- Actuarial Science
- Mathematical Finance
Universities and colleges, Government of Canada (Canadian citizens only), banking and finance, information technology and cybersecurity, energy, risk management and insurance, health, pharmaceuticals, environmental management, quantum computing, data analytics, medical imaging.
A PhD in math and statistics is usually considered a final degree.
Students are required to prepare a thesis and successfully defend in an open oral defense.
Eight courses
Learn more about program requirements in the Academic Calendar
Classroom delivery
Time commitment.
Four years full-time; six years maximum
A supervisor is required, but is not required prior to the start of the program
See the Graduate Calendar for information on fees and fee regulations, and for information on awards and financial assistance .
Virtual Tour
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Supervisors
Learn about faculty available to supervise this degree. Please note: additional supervisors may be available. Contact the program for more information.
Tracey Balehowsky
Kristine Bauer
Karoly Bezdek
Elena Braverman
Thierry Chekouo
Clifton Cunningham
Rob Deardon
Wenjun Jiang
Wenyuan Liao
Admission Requirements
A minimum of 3.0 GPA on a 4.0 point system, over the past two years of full-time study (a minimum of 10 full-course equivalents or 60 units) of the undergraduate degree.
Minimum education
A master’s degree or equivalent in the subject of the specialization.
Work samples
Reference letters, test scores, english language proficiency.
An applicant whose primary language is not English may fulfill the English language proficiency requirement in one of the following ways:
- Test of English as a Foreign Language (TOEFL ibt) score of 97 (Internet-based, with no section less than 20).
- International English Language Testing System (IELTS) score of 7.0 (minimum of 6.0 in each section).
- Pearson Test of English (PTE) score of 68, or higher (Academic version).
- Canadian Academic English Language test (CAEL) score of 70 (70 in some sections – up to the program, 60 in all other).
- Academic Communication Certificate (ACC) score of A- in one or two courses (up to the program), “B+” on all other courses.
- Cambridge C1 Advanced or Cambridge C2 Proficiency minimum score of 191.
*Please contact your program of interest if you have any questions about ELP requirements.
For admission on September 1:
- Canadians and permanent residents: Jan. 15 application deadline
- International students: Jan. 15 application deadline
If you're not a Canadian or permanent resident, or if you have international credentials, make sure to learn about international requirements
Are you ready to apply?
Learn more about this program, department of mathematics and statistics.
Mathematical Science Room 462 612 Campus Place NW Calgary, AB T2N 4V8 403.220-6299
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Biological Sciences, Room 540 2500 University Drive NW Calgary, AB T2N 1N4 403.220.8600
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Related programs
If you're interested in this program, you might want to explore other UCalgary programs.
Course-based MSc
Thesis-based MSc
Community Health Sciences
Computer science.
Thesis-based MA
Course-based MA
Electrical and Software Engineering
Course-based MEng
Course-based MEng (Software)
Thesis-based MEng
Thesis-based MSc
Medical Science
Physics and astronomy, veterinary medicine, curious about the university of calgary.
Located in the nation's most enterprising city, we are a living, growing and youthful institution that embraces change and opportunity with a can-do attitude.
Mathematical Finance
“I really like the culture at Waterloo. It’s so inclusive — you get to meet a lot of students from different backgrounds and a lot of other people who are passionate about math. Interacting with them on a daily basis is really exciting.”
What is Mathematical Finance?
Mathematical Finance is an elite program designed for students with outstanding mathematical skills who want a career in high-level quantitative finance. In one of the most advanced undergraduate finance programs in the world, you’ll take courses in corporate finance, real analysis, asset liability management and forecasting. The program delivers solid mathematical training and a modern understanding of the financial market to prepare you for the broad field of banking and finance after graduation
- Available as a co-op or regular program
- There are 40 courses for this degree
- Graduate with a Bachelor of Mathematics, major in Mathematical Finance
First-year courses
- MATH 135/145 - Classical Algebra
- MATH 137/147 - Calculus 1
- CS 115/135/145 - Computer Science
- A communications course
- One non-math elective
See full courses in our undergraduate calendar .
Upper-year courses
- ACTSC 372 - Corporate Finance
- PMATH 351 - Real Analysis
- STAT 443 - Forecasting
- ACTSC 445 - Quantitative Enterprise Risk Management
Sample co-op jobs
- Quantitative Analyst, BMO
- Product Manager Assistant, AVIVA — COFCO Life Insurance
- Portfolio Analyst — GCM — Derivatives, CPP Investment Board
- Audit Co-op Student — Market Risk, Scotiabank
- Quantitative Analyst, Manulife Financial
Sample careers
- Derivatives Analyst, Canada Pension Plan Investment Board
- Director, International Strategy and Banks Research, China Construction Bank International
- Finance Operation Analyst, GE Canada Inc.
- Investment Analyst, Dancap Global Asset Management
- Treasury Manager, Avolon
Student stories
Nidhi is double major in Mathematical Finance and Statistics. She is from United Arab Emirates and was attracted to study at the University of Waterloo because of the institution's international reputation in math and co-op. She's worked as an Accounting Analyst, Financial Analyst and Actuarial Analyst and hopes to hone these experiences to work in finance-related careers. She's a member of the UW Finance Club and UW Ballroom Club and enjoys rock climbing, crocheting ,art and reading.
Meet Sabrina
While at the University of Waterloo, Sabrina has taken advantage of the global opportunities that the school has to offer - including a co-op term in Switzerland. When on-campus in Waterloo, she is part of the Archery Club and in her spare time she likes to practice and play the piano.
Similar programs
If you're interested in Mathematical Finance, you may also be interested in these programs that offer similar courses or career opportunities:
- Actuarial Science with a Finance Option
- Mathematics/Business Administration
- Mathematics/Financial Analysis and Risk Management
- Pure Mathematics
How to apply
Apply to Mathematics for admissions consideration. If admitted, speak with an academic advisor after first year to declare Mathematical Finance as a major.
Find out more information on the steps to apply .
Explore more mathematics and computer science programs .
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Mathematical finance, mathematical finance: introduction, faculty affiliation.
Arts and Science
Degree Programs
Financial engineering is one of the fastest-growing areas of applied mathematics.
Contact and Address
Web: www.mmf.utoronto.ca Email: [email protected] Telephone: (416) 946-5206
Mathematical Finance Program University of Toronto Suite 17030, 700 University Avenue Toronto, Ontario M5G 1Z5 Canada
Mathematical Finance: Graduate Faculty
Full members, associate members, mathematical finance: mathematical finance mmf, master of mathematical finance, program description.
In the MMF program, students reshape their existing analytical abilities with the help of senior academics in mathematics, computer science, statistics, and engineering who have experience with the tools of mathematical finance. This cross-disciplinary approach develops graduates with a richer, more innovative approach to applied mathematics in real-world situations. Some of the faculty are seasoned practitioners from the financial industry while others are from leading firms in the financial software industry, developing applications around requirements like risk management, portfolio analysis, and the pricing of advanced derivatives.
The heart of the program is the four-month internship or campus project. Working on real financial projects, students learn to integrate and apply theoretical knowledge gained earlier in the program. In the internship, students team up with employees of the sponsoring firm to experience how financial mathematics impacts the decision-making processes of a financial services organization.
Minimum Admission Requirements
Applicants are admitted under the General Regulations of the School of Graduate Studies. Applicants must also satisfy the graduate unit's additional admission requirements stated below.
Applicants must have an appropriate bachelor's degree in a quantitative, technical discipline with a minimum of a mid-B standing in the final two years.
Applicants whose primary language is not English and who graduated from a university where the language of instruction was not English must demonstrate proficiency in the English language through the successful completion of the Test of English as a Foreign Language (TOEFL) with minimum scores as follows:
paper-based TOEFL exam: 580 and 5 on the Test of Written English (TWE)
Internet-based TOEFL exam: 93/120 and 22/30 on the writing and speaking sections
Applicants must also show evidence of strong mathematical ability. Appropriate workplace experience will be considered in lieu of formal education.
Admission to the program is competitive. Those accepted into the program will normally have achieved a standing considerably higher than the minimum mid-B standing or have demonstrated exceptional ability through appropriate workplace experience.
Applicants must satisfy the Admissions Committee of their ability to do rigorous quantitative analysis at an advanced level. The broad background required for this program makes it likely that many strong applicants will not possess all the background requirements. It is expected that applicants will have extra depth in certain areas and need to do additional work in others. Admission may be conditional upon the applicant's satisfactory completion of the required background material.
Applicants should submit a written statement of approximately 300 words outlining their objectives for entering the program. Applicants should also explain how their background is appropriate. An interview may be required.
Inquiries about part-time options for the program should be addressed to the Program Director.
Program Requirements
The program of study begins in mid-August and includes a four-month internship during the second session. Students will be responsible for obtaining their own internship. In cases where the student is taking a leave of absence from an appropriate job, it is expected that the student will return to this job for the internship. In all cases, the Director must approve the placement.
Students will proceed through the program as a group, following a common course of study. The course of study will be fully integrated and computer-laboratory intensive. Course projects and assignments will be designed to integrate the material learned from a variety of the courses and to utilize it in a practical context. Excellent communication and presentation skills will be emphasized in both the oral and written components of the projects.
Students must complete all required courses listed below.
Program Length
3 sessions full-time (typical registration sequence: F/W/S)
3 years full-time
Mathematical Finance: Mathematical Finance MMF Courses
Courses are offered in modules. A module will consist of a four-week unit with a minimum of three contact hours per week, or its equivalent. A large portion of the learning for the module will take place outside of class through carefully designed computer projects and group study. The courses have been packaged in units of one, two, three, four, or five modules, and the course weight will be equal to the number of modules; for example, a course with three modules will have a weight of three credit hours. Six modules will be considered the equivalent of one full-course equivalent in a standard format. The third digit of the four-digit course number determines the course weight.
Third Digit Notation
1 = one-third of a half course 2 = two-thirds of a half course 3 = one half course 4 = two-thirds of a full course 5 = one full course
Required Courses
Additional courses.
0 Course that may continue over a program. The course is graded when completed.
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Master of Science (MSc)
Master's programs
Thesis-based
Academic background : Bachelor's degree in mathematical finance or an undergraduate degree in a field related to mathematical finance, such as stochastic processes, probability, statistics, mathematics, economics or finance.
Course load : One seminar course and five courses at graduate level which must include two courses from List E, one from List F and one from List G.
Thesis or project : A thesis has to be written and defended orally in front of an exam committee.
Completion time : On average, two years. The maximum time allowed is four years.
Is part-time available : Yes. The maximum time allowed is six years.
Course performance level : Should maintain a minimum cumulative GPA of 3.00 (calculated on a four-point scale) at the end of each registration year and attain at least a B- on each course taken for credit.
Funding : Funded for up to two years or sponsored.
Course-based
Academic background : A bachelor's degree in mathematical finance or an undergraduate degree in a field related to mathematical finance, such as stochastic processes, probability, statistics, mathematics, economics or finance.
Course load : One seminar course and eight courses which must include two courses from List E, two from List F and two from List G (or 2 from List E, three from List F and one from List G (if the courses from List G do not run annually))
Thesis or project : Must register and attend MATH 600A in Fall and MATH 600B in Winter and obtain a pass grade.
Completion time : 1-2 years. The maximum time allowed is four years.
Funding : Unfunded.
Research supervisors
- Alexandru Badescu : Mathematical finance, actuarial science
- Jinniao Qiu : Mathematical finance, analysis, PDE, operation research
- Deniz Sezer : Mathematical finance, operation research, modelling of wind and solar energy
- Anatoliy Swishchuk : Mathematical finance, energy market modelling, stochastic calculus, random evolutions, stochastic processes
- Antony Ware : Computational finance, energy markets modelling, numerical methods
Course lists
List E courses
ACSC 515 Models for Financial Economics MATH 681 Stochastic Calculus for Finance MATH 683 Computational Finance
List F courses
STAT 507 Introduction to Stochastic Processes (or MATH 685 Stochastic Processes) MATH 605 Differential Equations III MATH 601 Measure and Integration STAT 701 Theory of Probability I STAT 721 Theory of Estimation
List G courses
MATH 691.01 Lévy Processes in Finance MATH 693.01 Monte Carlo Methods for Quantitative Finance MATH 691.05 Stochastic Optimal Control & Applications in Finance MATH 693.03 Energy, Commodity and Environmental Finance MATH 691.03 Credit Risk MATH 693.05 Advanced Topics in Mathematical Finance
Haskayne Courses:
FNCE 613 - Investment and Portfolio Management FNCE 631 - FinTech FNCE 645 - Futures and Options FNCE 667 - Financial Risk Management FNCE 668 - Topic: Sustainable Finance
- Please refer to haskayne.ucalgary.ca/haskayne_info/courses/f23 for course offerings in Fall 2023
- Please refer to haskayne.ucalgary.ca/haskayne_info/courses/w24 for course offerings in Winter 2024
- Please refer to the UCalgary Calendar for the most updated Finance course list and course descriptions.
- There are differential fees for FNCE 6XX MBA courses (the fee is attached to the course).
- Haskayne School of Business Courses: Students may be granted exemption from required courses (e.g., Prerequisite: Finance 601) based upon prior academic preparation and with the approval of the Associate Dean (MBA Program). Change of Course Registration Form
Thesis and thesis oral examination
A master’s thesis-based student must complete a thesis on a topic to be agreed to by the student and their supervisor.
- After completion of the thesis, the student must pass a thesis oral examination
- A master's thesis oral exam committee contains a supervisor, a co-supervisor (if applicable), an examiner (an additional member of the University of Calgary academic staff), and an internal examiner (a member of the University of Calgary academic staff)
- The exam must be scheduled at least four weeks prior to date of oral exam
- Examiners must have a copy of the thesis at least three weeks prior to the date of oral exam
- Final thesis oral examinations are open
More information can be found on the Faculty of Graduate Studies websites under examinations .
For more information on requirements, please visit the Faculty of Graduate Studies website.
Why Study for a Mathematical Finance PhD?
I was emailed by a reader recently asking about mathematical finance PhD programs and the benefits of such a course. If you are considering gaining a PhD in mathematical finance, this article will be of interest to you.
If you are currently near the end of your undergraduate studies or are returning to study after some time in industry, you might consider starting a PhD in mathematical finance. This is an alternative to undertaking a Masters in Financial Engineering (MFE), which is another route into a quantitative role. This article will discuss exactly what you will be studying and what you are likely to get out of a PhD program. Clearly there will be differences between studying in the US, UK or elsewhere. I personally went to grad school in the UK, but I will discuss both UK and US programs.
Mathematical finance PhD programs exist because the techniques within the derivatives pricing industry are becoming more mathematical and rigourous with each passing year. In order to develop new exotic derivatives instruments, as well as price and hedge them, the financial industry has turned to academia. This has lead to the formation of mathematical finance research groups - academics who specialise in derivatives pricing models, risk analysis and quantitative trading.
Graduate school, for those unfamiliar with it, is a very different experience to undergraduate. The idea of grad school is to teach you how to effectively research a concept without any guidance and use that research as a basis for developing your own models. Grad school really consists of a transition from the "spoon fed" undergraduate lecture system to independent study and presentation of material. The taught component of grad school is smaller and the thesis component is far larger. In the US, it is not uncommon to have two years of taught courses before embarking on a thesis (and thus finding a supervisor). In the UK, a PhD program is generally 3-4 years long with either a year of taught courses, or none, and then 3 years of research.
A good mathematical finance PhD program will make extensive use of your undergraduate knowledge and put you through graduate level courses on stochastic analysis, statistical theory and financial engineering. It will also allow you to take courses on general finance, particularly on corporate finance and derivative securities. When you finish the program you will have gained a broad knowledge in most areas of mathematical finance, while specialising in one particular area for your thesis. This "broad and deep" level of knowledge is the hallmark of a good PhD program.
Mathematical Finance research groups study a wide variety of topics. Some of the more common areas include:
- Derivative Securities Pricing/Hedging: The technical term for this is "financial engineering", as "quantitative analysis" now encompasses a wide variety of financial areas. Some of the latest research topics include sophisticated models of options including stochastic volatility models, jump-diffusion models, asymptotic methods as well as investment strategies.
- Stochastic Calculus/Analysis: This is more of a theoretical area, where the basic motivation stems from the need to solve stochastic differential equations. Research groups may look at path-dependent PDEs, functional Ito calculus, measure theory and probability theory.
- Fixed Income Modeling: Research in this area centres on effectively modelling interest rates - such as multi-factor models, multi-curve term structure models as well as interest rate derivatives such as swaptions.
- Numerical Methods: Although not always strictly related to mathematical finance, there is a vast amount of university research carried out to try and develop more effective means of solving equations numerically (i.e. on the computer!). Recent developments include GPU-based Monte Carlo solvers, more efficient matrix solvers as well as Finite Differences on GPUs. These groups will almost certainly possess substantial programming expertise.
- Market Microstructure/High-Frequency Modeling: This type of research is extremely applied and highly valued by funds engaged in this activity. You will find many academics consulting, if not contracting, for specialised hedge funds. Research areas include creating limit order market models, high frequency data statistical modelling, market stability analysis and volatility analysis.
- Credit Risk: Credit risk was a huge concern in the 2007-2008 financial crisis and many research groups are engaged in determining such "counterparty risks". Credit derivatives are still a huge business and so a lot of research goes into collateralisation of securities as well as pricing of exotic credit derivatives.
These are only a fraction of the total areas that are studied within mathematical finance. The best place to find out more about research topics is to visit the websites of all the universities which have a mathematical finance research group, which is typically found within the mathematics, statistics or economics faculty.
The benefits of undertaking a PhD program are numerous:
- Employment Prospects: A PhD program sets you apart from candidates who only possess an undergraduate or Masters level ability. By successfully defending a thesis, you have shown independence in your research ability, a skill highly valued by numerate employers. Many funds (and to a lesser extent, banks) will only hire PhD level candidates for their mathematical finance positions, so in a pragmatic sense it is often a necessary "rubber stamp". In investment banks, this is not the case so much anymore, as programming ability is generally prized more. However, in funds, it is still often a requirement. Upon being hired you will likely be at "associate" level rather than "analyst" level, which is common of undergraduates. Your starting salary will reflect this too.
- Knowledge: You will spend a large amount of time becoming familiar with many aspects of mathematical finance and derivatives theory. This will give you a holistic view into the industry and a more transferable skill set than an undergraduate degree as you progress up the career ladder. In addition, you will have a great deal of time to learn how to program models effectively (without the day-to-day pressure to get something implemented any way possible!), so by the time you're employed, you will be "ahead of the game" and will know best practices. This aspect is down to you, however!
- Intellectual Prospects: You are far more likely to gain a position at a fund after completing a PhD than without one. Funds are often better environments to work in. There is usually less stress and a more relaxed "collegiate" environment. Compare this to working on a noisy trading floor, where research might be harder to carry out and be perceived as less important.
I would highly recommend a mathematical finance PhD, so long as you are extremely sure that a career in quantitative finance is for you. If you are still unsure of your potential career options, then a more general mathematics, physics or engineering PhD might be a better choice.
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‘It Feels Like I Am Screaming Into the Void With Each Application’
By Peter Coy
Opinion Writer
When I asked new college graduates last month to tell me about their job searches, I got back a ton of heartache. Unanswered applications. Lowered expectations. For some, a sense that college was a waste of time and money.
John York wrote that he was about to earn a master’s degree in mathematics from New York University. “I have submitted close to 400 applications. I have heard back from less than 40, all rejections,” he wrote. “I essentially cannot get any job, because there are no entry-level positions anywhere at all.” He has a patent, he passed the first-level exam for Chartered Financial Analysts and he’s getting his Series 3 license, another financial credential. Nevertheless, he wrote, “It is just so silent, it feels like I am screaming into the void with each application I am filling out.”
Mauricio Naranjo, who is seeking work as a graphic designer, wrote, “Over the past year, I have submitted more than 400 applications and consistently receive a response that appears to be A.I.-generated, stating that unfortunately, they have moved forward with another candidate who better fits their expectations. This is the exact phrasing every time. Very few respond, as most do not reply at all.”
“Exhausting. Utterly demoralizing,” wrote Beth Donnelly, who is graduating this month with a major in linguistics and minors in German and teaching English as a second language. “I’ve been searching since early August for full-time, part-time or internship positions after I graduate. I’ve started putting my ‘desired salary’ at $35,000 in hope that just one person will think, ‘Oh, I won’t have to pay this person a large wage, so they get a leg up in the hiring process.’”
I got some positive responses, too. Lucinda Warnke, who landed a job in journalism as a general assignment reporter, wrote: “I am optimistic and excited! I feel confident in my career trajectory and my ability to build a stable, satisfying career. The job I got out of school comes with a livable wage and benefits, so I can build savings in the event that I am laid off or have some other financially demanding emergency. I feel like I made a good investment in my education because I went to a school that was affordable and studied subjects that balanced my interests with my professional needs.”
A majority of responses were grim, though. That’s not too surprising, given that half of college graduates are underemployed a year after graduation, meaning that they are working in jobs that don’t require the degrees they earned, as I wrote in my April 29 newsletter.
There’s clearly something wrong when young graduates can’t find jobs at the same time that employers complain of not being able to find qualified workers. As of March, there were still fewer unemployed people than job openings, according to the Bureau of Labor Statistics. In April the unemployment rate remained below average at 3.9 percent.
The responses I got aren’t a representative sample of all college graduates. It’s possible that unhappy people were more likely to write in. (I had to leave out some of the angriest and most dejected people because they didn’t want their names to appear.) Separately, my informal impression is that the people who wrote — happy or sad — were more likely to have attended a highly ranked school and to have graduated without student loans than the general student population.
Many students wrote that the jobs they were seeking or secured didn’t draw on what they learned in the classroom. “I will be using the skills I picked up in my data science minor, but nothing from my major (international relations),” Rain Orsi, a 2024 graduate, wrote. “A lot of the educational stuff could’ve been condensed to a 20-page PDF and I probably would be at the same knowledge level,” another student wrote. Jackeline Arcara wrote that if she had it to do over again, “I wouldn’t go to a four-year, fancy-pants school. I would take classes at a local college part-time and see where that takes me.”
Some students said that classroom learning was only part of what made college worthwhile to them. “College gives you four years to grow up — I have the maturity now to handle a full-time job. Before college, not so much,” wrote Caroline Lidz, who got a job in public relations after graduating in December with a degree in media studies and communications and a minor in art history.
Several said internships matter, a lot. “I wish I interned for a company outside of the school instead of being a research/lab assistant,” wrote Roger Vitek, who is graduating in June with a degree in product design and is still job hunting.
Economists have found that what you study in college is at least as important as where you study. As I wrote in my April 29 piece, there’s relatively strong demand for computer science, engineering, mathematics and math-intensive business fields such as finance and accounting.
But as I found out from the people who wrote in, that’s not always the case. Robert Vermeulen, a computer science major, wrote, “Out of the ~155 applications I haven’t had a reference on, I have gotten zero interviews.” Morgan Steckler wrote that he is looking for a software engineering or I.T. administration role paying at least $70,000 a year, but has had no luck so far. He said he’s thinking of bartending while continuing to send out applications. On the positive side, there are people like Warnke, who got a job as a reporter — not exactly a fast-growing profession.
As I read students’ responses, I had to remind myself that this is actually a relatively good year for finding a job. To a lot of members of the class of ’24, it doesn’t feel that way. Julia Brukx, who is graduating with a degree in history and art history, wrote, “I think I hit a new low just this morning when asked to write a cover letter for a retail position.”
Donnelly, the woman who described her job search as demoralizing, wrote: “I was told that if I was involved, active, kind, ready to learn, driven and intelligent, I would end up with a job out of college. This is evidently not true, and few older people seem to understand this.” She added, “I don’t have a backup plan besides working in the service industry.”
Elsewhere: Caps, Not Bans, for Short-Term Rentals
New York City’s Local Law 18, which was passed with the support of the hotel industry, tightens the rules on renting out rooms for less than 30 days. Supporters say renting rooms to tourists raises rents for New Yorkers. But an article published in Harvard Business Review by three scholars — one of whom used to work for Airbnb — calculates that Airbnb caused only about 1 percent of the aggregate increase in rents over the past decade or so. Hosts, guests and the businesses that serve them benefit. To keep certain neighborhoods from being overwhelmed by tourists, the authors recommend caps on how many nights per year a place may be rented out.
Quote of the Day
“The hedonistic conception of man is that of a lightning calculator of pleasures and pains who oscillates like a homogeneous globule of desire of happiness under the impulse of stimuli that shift him about the area, but leave him intact. He has neither antecedent nor consequent.”
— Thorstein Veblen, “Why Is Economics Not an Evolutionary Science?” (1898)
Peter Coy is a writer for the Opinion section of The Times, covering economics and business. Email him at [email protected] . @ petercoy
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Program Overview. In the 12-month Master of Mathematical Finance (MMF) program, students' superior math skills are focused on the tools of financial mathematics for an initial four-month period. Students then move immediately into an internship with a firm. Afterwards, students will continue their coursework for the remainder of the school year.
Tony Ware: Mathematical finance, computational finance, energy markets modelling, numerical methods Course load The course requirements for a PhD are determined on an individual basis and must include eight half courses in the student's combined master's and doctoral program in addition to MATH 600 seminar course which must be taken in the ...
Prerequisites or corequisites: Finance 701, Finance 702, and Finance 703. Open to doctoral students in the Alberta School of Business, the Department of Economics and the Program of Mathematical Finance. For all other students, written permission of instructor required. Approval of the Associate Dean, PhD Program is also required for non-PhD ...
The PhD specialization in Finance at McGill prepares students for research-oriented academic careers. While students from all backgrounds are encouraged to apply, the typical student holds an undergraduate or a master's degree in economics, finance, mathematics, statistics, computer science, engineering or physics. The program is normally completed in five years. The first two years in the ...
Study and Work in Mathematical Finance in Canada. The prequisites required to become accepted in an graduate and/or post-graduate PhD program in Mathematical Finance. Topics and concepts that are covered and the overall approach or focus taken in studying Mathematical Finance. Research areas, topics, interests projects in Mathematical Finance.
For the same reason, students in the course-based MSc program in Mathematical Finance may incur additional fees compared to other course-based MSc programs at the Department. In many cases, the Department will assist with (or completely offset) these additional costs for students in a thesis-based MSc or PhD program in Mathematical Finance.
The main mission of the PhD program in Accounting at the Haskayne School of Business, University of Calgary, is to prepare prospective faculty members for positions at reputable business schools in Canada and around the world. Our graduates teach and research in schools such as American University of Cairo, Concordia University, Mount Royal ...
Mathematicians use theoretical and computational methods to solve a wide range of problems from the most abstract to the very applied. UBC's mathematics graduate students work in many branches of pure and applied mathematics. The PhD program trains students to operate as research mathematicians. The focus of the program is on substantial mathematical research leading to the PhD dissertation ...
Department of Statistical Sciences 9th Floor, Ontario Power Building 700 University Ave., Toronto, ON M5G 1Z5; 416-978-3452; Email Us
Graduate studies at the Department of Mathematical and Statistical Sciences. As one of the leading Mathematics and Statistics departments in Canada, our main graduate programs are as follows: Professionally-oriented programs: Course-based Master's Program in Biostatistics: This program offers a flexible study pace (1 year intensive, 16 months ...
Stochastic Control, Mathematical Finance, and SPDEs Most of my research is related to stochastic control problems. For the non-Markovian problems of stochastic control and mathematical finance like the utility maximization with random coefficients, the (backward) SPDE arises naturally as the stochastic HJB equation.
Rotman Finance offers top-tier training from some of the world's leading experts in fields such as risk management, corporate governance, delegated asset management, and behavioural finance. The PhD Program in Finance at the Rotman School trains prospective scholars to become highly skilled and innovative researchers and teachers, and to prepare them for careers as faculty members at premier ...
School of Graduate Studies Centre for International Experience Student Life. Mathematical Finance Program University of Toronto 700 University Ave. | Suite 17030 Toronto, ON M5G 1Z5. [email protected] 416-946-5206
Universities and colleges, Government of Canada (Canadian citizens only), banking and finance, information technology and cybersecurity, energy, risk management and insurance, health, pharmaceuticals, environmental management, quantum computing, data analytics, medical imaging. A PhD in math and statistics is usually considered a final degree.
PhD Applied Mathematics; PhD Applied Mathematics (Quantum Information) PhD Applied Mathematics (Water) TOP; Share; Contact Info. Department of Applied Mathematics University of Waterloo Waterloo, Ontario Canada N2L 3G1 Phone: 519-888-4567, ext. 32700 Fax: 519-746-4319. Provide website feedback.
There are 40 courses for this degree. Graduate with a Bachelor of Mathematics, major in Mathematical Finance. First-year courses. MATH 135/145 - Classical Algebra. MATH 137/147 - Calculus 1. CS 115/135/145 - Computer Science. A communications course. One non-math elective. See full courses in our undergraduate calendar.
Mathematical Finance. MMF. Overview. ... Mathematical Finance Program University of Toronto Suite 17030, 700 University Avenue Toronto, Ontario M5G 1Z5 Canada. Mathematical Finance: Graduate Faculty. Full Members. Feuerverger, Andrey - BSc, PhD . Jackson, Kenneth - BSc, MSc, PhD . ... ON Canada M5S 2Z9 Tel: 416-978-6614. Calendar Contacts Feedback
Thesis-based. Academic background: Bachelor's degree in mathematical finance or an undergraduate degree in a field related to mathematical finance, such as stochastic processes, probability, statistics, mathematics, economics or finance.. Course load: One seminar course and five courses at graduate level which must include two courses from List E, one from List F and one from List G.
The School is a member of the Ottawa-Carleton Institute for Mathematics and Statistics (OCIMS), which offers one of the largest graduate programs in mathematics and statistics in Canada. Students can take courses and access research resources at both Carleton and the University of Ottawa. Learn more about Ottawa-Carleton Joint Institutes.
5 Finance PhDs in Canada. This page shows a selection of the available PhDs in Canada. If you're interested in studying a Finance degree in Canada you can view all 5 PhDs. You can also read more about Finance degrees in general, or about studying in Canada. Many universities and colleges in Canada offer English-taught PhD's degrees.
Scotiabank International Partner Entrance Scholarships. Merit-based. Read more about eligibility. George Brown College. Toronto, Canada. 1 of 7. Find exclusive scholarships for international PhD students pursuing Financial Mathematics studies in Canada. Search and apply online today.
A degree in Mathematics and Finance provides a solid foundation for careers in the financial industry and graduate studies in financial engineering and mathematical finance. Graduates of our program can apply mathematical and statistical techniques to analyze financial products and manage financial risk. They find employment in all areas where ...
A good mathematical finance PhD program will make extensive use of your undergraduate knowledge and put you through graduate level courses on stochastic analysis, statistical theory and financial engineering. It will also allow you to take courses on general finance, particularly on corporate finance and derivative securities.
As I wrote in my April 29 piece, there's relatively strong demand for computer science, engineering, mathematics and math-intensive business fields such as finance and accounting.
The International School for Advanced Studies (SISSA) was founded in 1978 and was the first institution in Italy to promote post-graduate courses leading to a Doctor Philosophiae (or PhD) degree. A centre of excellence among Italian and international universities, the school has around 65 teachers, 100 post docs and 245 PhD students, and is located in Trieste, in a campus of more than 10 ...