Doctor of Philosophy in Mathematics (PhD)
Overview
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.
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.
Quick Facts
Program Enquiries
Contact the program
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:
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
Reading
22
Writing
21
Speaking
21
Listening
22
IELTS: International English Language Testing System
Overall score requirement: 7.0
Reading
6.5
Writing
6.5
Speaking
6.5
Listening
6.5
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
Tuition
| Fees | Canadian Citizen / Permanent Resident / Refugee / Diplomat | International |
|---|---|---|
| Application Fee | $112.00 | $168.25 |
| Tuition * | ||
| Installments per year | 3 | 3 |
| Tuition per installment | $1,802.52 | $3,166.73 |
| Tuition per year (plus annual increase, usually 2%-5%) | $5,407.56 | $9,500.19 |
| Int. Tuition Award (ITA) per year (if eligible) | $3,200.00 (-) | |
| Other Fees and Costs | ||
| Student Fees (yearly) | $1,081.64 (approx.) | |
| Costs of living (yearly) | starting at $18,517.90 (check cost calculator) | |
All fees for the year are subject to adjustment and UBC reserves the right to change any fees without notice at any time, including tuition and student fees. Tuition fees are reviewed annually by the UBC Board of Governors. In recent years, tuition increases have been 2% for continuing domestic students and between 2% and 5% for continuing international students. New students may see higher increases in tuition. Admitted students who defer their admission are subject to the potentially higher tuition fees for incoming students effective at the later program start date. In case of a discrepancy between this webpage and the UBC Calendar, the UBC Calendar entry will be held to be correct.
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
- 39 students received Teaching Assistantships. Average TA funding based on 39 students was $11,230.
- 41 students received Research/Academic Assistantships. Average RA/AA funding based on 41 students was $8,630.
- 43 students received internal awards. Average internal award funding based on 43 students was $15,427.
- 3 students received external awards. Average external award funding based on 3 students was $35,000.
Review methodology
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 Calculator
Applicants have access to the cost calculator 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:
RI (Research-Intensive) Faculty: typically tenure-track faculty positions (equivalent of the North American Assistant Professor, Associate Professor, and Professor positions) in PhD-granting institutions
TI (Teaching-Intensive) Faculty: typically full-time faculty positions in colleges or in institutions not granting PhDs, and teaching faculty at PhD-granting institutions
Term Faculty: faculty in term appointments (e.g. sessional lecturers, visiting assistant professors, etc.)
Sample Employers in Higher Education
University of Oregon (3)University of British Columbia (2)
University of Notre Dame (2)
University of Michigan - Ann Arbor (2)
University of Manitoba (2)
University of Kansas (2)
Harvard University (2)
Swiss Federal Institute of Technology (2)
Autonomous University of Yucatan
King Fahd University of Petroleum and Minerals
Sample Employers Outside Higher Education
Google (3)Sanoma B.V.
Centre for Human Drug Research
Futurice GmbH
Contact Energy Ltd.
Canada Pension Plan Investment Board (CPPIB)
Contextual Genomics
MDA Corp.
Amazon
Sample Job Titles Outside Higher Education
Data Scientist (3)Software Engineer (2)
Actuarial Analyst
Lead Software Creator
Quantitative Analyst
Senior Analyst
Applied Research Mathematician
Education Specialist
Programmer
Senior Software Engineer
PhD Career Outcome Survey
You may view the full report on career outcomes of UBC PhD graduates on outcomes.grad.ubc.ca.Disclaimer
These data represent historical employment information and do not guarantee future employment prospects for graduates of this program. They are for informational purposes only. Data were collected through either alumni surveys or internet research.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
| 2021 | 2020 | 2019 | 2018 | 2017 | |
|---|---|---|---|---|---|
| Applications | 175 | 172 | 111 | 142 | 138 |
| Offers | 27 | 27 | 22 | 27 | 25 |
| New registrations | 17 | 13 | 17 | 9 | 14 |
| Total enrolment | 65 | 67 | 72 | 68 | 72 |
Completion Rates & Times
Disclaimer
Upcoming Doctoral Exams
Thursday, 28 September 2023 - 9:00am - Room 200
Research Supervisors
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)
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.
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Slade, Gordon (Renormalisation, Lace explansion, self-avoiding walk, scaling limits)
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Solymosi, Jozsef (Additive Combinatorics, Discrete and Computational Geometry, Graph theory, and Combinatorial Number Theory)
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Tsai, Tai-Peng (Differential equations and integral equations in pure mathematics; Partial Differential Equations; Mathematical physics)
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van Willigenburg, Stephanie (Combinatorics and discrete mathematics; algebraic combinatorics; Coxeter group; quasisymmetric function; Schur functions and generalizations; chromatic symmetric function)
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Vatsal, Vinayak (Canonical periods, congruence formula, elliptic curve, Iwasawa invariants, Heegner points, L-functions)
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Wachs, Anthony (Fluidization and fluid mechanics; Process control and simulation in chemical engineering; Numerical computation; Fluid mechanics; Particle-laden flows; Non Newtonian flows; Heat and mass transfer; Numerical simulation; High performance computing; Multi-scale modelling)
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Ward, Michael Jeffrey (Applied analysis, singular perturbations, reaction-diffusion theory, mathematical modeling and scientific compution, nonlinear dynamics and applied partial differential equations )
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Watson, Liam (Topology; Low-dimensional topology; Khovanov homology; Heegaard Floer homology)
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Wei, Juncheng (Differential equations and integral equations in pure mathematics; Partial and ordinary differential equations; Mathematics; Geometric analysis; Mathematical biology; Nonlinear partial differential equations; reaction-diffusion systems; singular perturbations and concentration phenomena; singularity formations in fluids; Nonlinear Analysis)
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Wetton, Brian (Scientific computing, fluid mechanics)
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Williams, Ben (Topology; Algebra; Algebraic topology; Motivic homotopy theory; A1 homotopy theory)
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Yavicoli, Alexia (fractal geometry)
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Yilmaz, Ozgur (Mathematical problems related to analog-to-digital conversion, blind source separation, sparse approximations and compressed sensing, and applications in seismic signal processing)
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Zahl, Joshua (Combinatorics and discrete mathematics; Lie groups, harmonic and Fourier analysis; Harmonic Analysis; Combinatorics; Discrete and Combinatorial Geometry)
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Doctoral Citations
| Year | Citation |
|---|---|
| 2021 | Dr. Wang studied mathematical solutions of nonlinear differential equations that model chiral magnetic skyrmions. She provided a rigorous mathematical proof of the existence of skyrmions within the co-rotational symmetric class, and also examined their spectral and dynamical stability. This research contributes to the mathematics of chiral magnetism. |
| 2021 | Dr. Wong studied the maximum possible number of certain mathematical objects when specific restrictions are imposed. Her investigation assists the community in understanding a number of important mathematical problems in extremal combinatorics, a field of study focused on the limits of finite objects. |
| 2021 | Dr. Yang researched fractals and decoupling in Euclidean harmonic analysis. Dr. Yang studied the size and geometric figures contained in fractals, or geometric objects possessing some self-similarity but highly rugged and oscillatory in nature. The decomposition of waves and their size properties in the physical space were studied using decoupling. |
| 2021 | Dr. Gomez studied the structure and dynamics of localized patterns in cellular biology using several new mathematical models, some patterns of which have applications to bulk-membrane processes. The analysis of such patterns provides insights on the phenomena being modeled and contributes to our general understanding of pattern formation. |
| 2021 | Big data requires algorithms to be efficient in time and working memory. Dr. Melnykova's research provides performance guarantees of such algorithms for sparse recovery. Her analysis on the impact of mapping linear measurements onto reconstruction error using a process called quantization bridges a gap in the literature between theory and practice. |
| 2021 | Dr. Paquin-Lefebvre became an expert in dynamical systems theory during his PhD. He analyzed the pattern-forming dynamics of novel mathematical models motivated by the compartmentalization of cellular proteins. His thesis contains the first systematic derivation of amplitude equations near a variety of spatio-temporal instabilities in such models. |
| 2020 | Dr. Gonzalez Anaya's research is concerned with the complexity of geometric spaces arising as solutions to polynomial equations. His work contributes to our understanding of how the process of deforming their shape can sometimes result in new geometric objects having significantly more intricate geometric properties. |
| 2020 | Dr. Hughes studied mathematical models for random spatial populations which arise in a variety of settings, including ecology. His work focused on fractal properties of the population densities. This research sheds light on how these populations, and other important stochastic models, are locally distributed in space. |
| 2020 | Dr. Zhou studied nonlinear partial differential equations with an emphasis on phenomena where solutions become unbounded. By developing new gluing methods, he rigorously constructed solutions to equations arising from different contexts such as geometry and mathematical physics. This research gives a deeper understanding of singularity formation. |
| 2020 | Dr. Hernandez Torres studied two probabilistic models that emulate phenomena in physics and biology. She focused on understanding the behaviour of these models at a large-scale. Her results add to our mathematical understanding of the relation between microscopic and macroscopic descriptions of natural processes within probability theory. |
Pages
Sample Thesis Submissions
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.
Program Website
Faculty Overview
Academic Unit
Program Identifier
Classification
Program Enquiries
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