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.

For specific program requirements, please refer to the departmental program website

$40,000

Minimum funding per year^*

Average years to completion

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.

Being affiliated with the Institute for Applied Mathematics meant I could easily collaborate with other departments and not get stuck in a box for my degree. I also wanted a program where I could develop my skills as a teacher because it is something I enjoy and is useful should I stay in academia.

Nicholas Richardson

Quick Facts

Faculty Faculty of Science

Academic Unit Department of Mathematics

Specialization Mathematics

Mode of delivery In person at UBC Vancouver

Program Components Dissertation

Tuition (First Year) Domestic: 5,738.52 | International: 10,081.65

Median Funding 50% of students receive $43,514 or more funding in each of the first four years, before tuition and fees

Tuition & Financial Support

Tuition

Fees	Canadian Citizen / Permanent Resident / Refugee / Diplomat	International
Application Fee	$118.50	$168.25
Tuition *
Installments per year	3	3
Tuition per installment	$1,912.84	$3,360.55
Tuition per year (plus annual increase, usually 2%-5%)	$5,738.52	$10,081.65
Int. Tuition Award (ITA) per year (if eligible)		$3,200.00 (-)
Other Fees and Costs
Student Fees (yearly)	$1,169.35 (approx.)
Costs of living	Estimate your costs of living with our interactive tool in order to start developing a financial plan for your graduate studies.

* Regular, full-time tuition. For on-leave, extension, continuing or part time (if applicable) fees see UBC Calendar.
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 in UBC-Vancouver PhD programs will be provided with a funding package of at least $40,000 for each of the first four years of their PhD from September 2026. The funding package may consist of any combination of internal or external awards, teaching-related work, research assistantships, and graduate academic assistantships. Please check with your prospective graduate program for specific details of the funding provided to its PhD students.

Funding Statistics

Please note that effective September 2026, UBC’s guaranteed funding for full-time PhD students in years 1-4 was raised significantly, to a minimum of $40,000 per year. These historical statistics do not account for this change, i.e., the funding landscape for incoming students is not necessarily comparable to the historical values.

Based on the criteria outlined below, 51 students within this program were included in this study because they received funding through UBC in the form of teaching, research, academic assistantships or internal or external awards with a mean of $44,874 and a median of $43,514.

This results in a net balance (any funding provided to the student minus tuition and fees) mean of $35,585 and median of $33,995.

47 students received Teaching Assistantships. Median TA funding based on 47 students was $16,420.
47 students received Research Assistantships. Median RA funding based on 47 students was $14,781.
1 student received Academic Assistantships valued at $2,339.
51 students received internal awards. Median internal award funding based on 51 students was $8,025.
6 students received external awards. Median external award funding based on 6 students was $40,000.

Study Period: Sep 2024 to Aug 2025 - funding for full-time PhD students enrolled in three terms per academic year in this program across years 1-4, the period covered by UBC's Minimum Funding Guarantee. Mean and median values might mask variability in sources and amounts of funding received by individual students. Beyond year 4, funding packages become even more individualized.
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.

UBC has working agreements with MPower Financing - an organization providing international students with no-cosigner, no-collateral education loans to study in Canada - and Windmill Microlending - an organization providing loans to skilled immigrants.

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 24 hours a week during academic sessions.

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.

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

	2024	2023	2022	2021	2020
Applications	151	155	167	176	176
Offers	19	30	21	27	29
New Registrations	13	13	11	17	13
Total Enrolment	69	72	68	64	65

Completion Rates and Times

This program has a graduation rate of 89.3% based on 61 students admitted between 2012 - 2015. Based on 6 graduations between 2021 - 2024 the minimum time to completion is 6 years and the maximum time is 9 years with an average of 7.4 years of study. All calculations exclude leave times.

Disclaimer

Admissions data refer to all UBC Vancouver applications, offers, new registrants for each registration year, May to April, e.g. data for 2022 refers to programs starting in 2022 Summer and 2022 Winter session, i.e. May 1, 2022 to April 30, 2023. Data on total enrolment reflects enrolment in Winter Session Term 1 and are based on snapshots taken on November 1 of each registration year. Program completion data are only provided for datasets comprised of more than 4 individuals. Graduation rates exclude students who transfer out of their programs. Rates and times of completion depend on a number of variables (e.g. curriculum requirements, student funding), some of which may have changed in recent years for some programs.

Doctoral Exams Upcoming

Doctoral Citations

A doctoral citation summarizes the nature of the independent research, provides a high-level overview of the study, states the significance of the work and says who will benefit from the findings in clear, non-specialized language, so that members of a lay audience will understand it.

Year	Citation
2025	Dr. Suan studied special geometric structures related to string theory on 6- and 7-dimensional spaces. His research showed that a particular process called a conifold transition is continuous and also gave a long-time existence criterion for extending the Anomaly flow.
2025	Dr. Zhu examined two applications of oscillatory integral techniques, both analytic and geometric. One area of his research contributes to classifying geometric properties captured by various approaches to measure sets. The other promotes identifying geometric and algebraic patterns in rough sets.
2025	Dr. Zhang studied the existence, long-time behavior, and singularity formation of solutions to partial differential equations in Euclidean space and on conical singular manifolds. She proved a class of logarithmic nonlinearity is important for solutions to blow up in finite time. Her research advanced our understanding of the behavior of solutions.
2024	Dr. Trainor's research lies in the intersection of analysis, discrete mathematics, and geometry. She studies discrete analogues of classical continuous problems, and focuses on a recent, effective method in these fields known as the polynomial method. Her dissertation applies and advances this method to new problems and in new settings.
2024	Dr. Chernobai studed global existence of local energy solutions for Navier-Stokes equations, which describe a motion of incompressible fluid, and constructed solutions for the new class of initial data. She also researched the regularity of solutions to elliptic equations with critical drift, and proved the existence, uniqueness and higher regularity of such solutions.
2024	Dr. Yip's research in mathematics focused on arithmetic combinatorics. He has investigated how to understand the interaction between different arithmetic operations over integers and finite fields using various tools. The results might find applications in various areas of mathematics, such as analytic number theory, extremal combinatorics, and finite geometry.
2024	Dr. Gong looked at how fluid environments affect the dynamics of swimming microorganisms with different shapes. He developed analytical models using low Reynolds number hydrodynamics to study viscotaxis, and propulsions in complex fluids. His work offers insights into microrobotics for biomedical uses and the design of advanced microrheometers.
2024	Dr. Kong studied pattern formation phenomena of several reaction-diffusion systems involving advection arising from biology, ecology and finance. These theoretical analyses assist us in understanding the effects of biased movement on structures and qualitative properties of localized patterns.
2024	Dr. Pelz has explored the emergence of spatio-temporal patterns arising when nonlinear processes are restricted to spatially segregated compartments coupled through a diffusion field. For such models, relevant to cell signalling, I have investigated pattern forming properties and how time-varying signals undergo synchronization due to non-local coupling.
2024	Dr. Li studied the geometry-preserving property of random mappings and introduced a novel algorithm for signal recovery from generative models. His research contributes to the understanding of random mappings and their applications in fields such as signal processing and machine learning.

Yuveshen Mooroogen

Doctor of Philosophy in Mathematics (PhD)

Geometric underpinnings of uncertainty principles for the Fourier transform

Ana Mucalica

Doctor of Philosophy in Mathematics (PhD)

Interaction of drug nano-carriers with particle-laden blood flow

Pardis Semnani

Doctor of Philosophy in Mathematics (PhD)

Causal Inference and Density Estimation

Program Website

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Doctor of Philosophy in Mathematics (PhD)

Overview

What makes the program unique?

Quick Facts

Admission Information & Requirements

1) Check Eligibility

Minimum Academic Requirements

English Language Test

TOEFL: Test of English as a Foreign Language - internet-based

IELTS: International English Language Testing System

Other Test Scores

2) Meet Deadlines

3) Prepare Application

Transcripts

Letters of reference

Statement of Interest

Supervision

Instructions regarding thesis supervisor contact for this program

Citizenship Verification

4) Apply Online

Tuition & Financial Support

Tuition

Financial Support

Program Funding Packages

Funding Statistics

Scholarships & awards (merit-based funding)

Graduate Research Assistantships (GRA)

Graduate Teaching Assistantships (GTA)

Graduate Academic Assistantships (GAA)

Financial aid (need-based funding)

Foreign government scholarships

Working while studying

Tax credits and RRSP withdrawals

Cost Estimator

Career Outcomes

Sample Employers in Higher Education

Sample Employers Outside Higher Education

Sample Job Titles Outside Higher Education

PhD Career Outcome Survey

Disclaimer

Career Options

Enrolment, Duration & Other Stats

ENROLMENT DATA

Completion Rates and Times

Disclaimer

Doctoral Exams Upcoming

Friday, April 17, 2026 - 12:30 - Room 200

Tuesday, April 28, 2026 - 12:30 - Room 203

Research Supervisors

Supervision

Instructions regarding thesis supervisor contact for this program

Advice and insights from UBC Faculty on reaching out to supervisors

Sample Thesis Submissions

Doctoral Citations

Related Programs

Same specialization

At the UBC Okanagan Campus

Further Information

Specialization

UBC Calendar

Program Website

Faculty

Academic Unit

Program Identifier

Classification

Yuveshen Mooroogen

Ana Mucalica

Pardis Semnani

Program Enquiries

Social Media Channels

Supervisor Search

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