| Program start date | Application deadline |
| 2024-09-01 | - |
| 2024-01-01 | - |
Program Overview
Mathematics (PhD)
The Mathematics PhD program provides a comprehensive and rigorous foundation in both pure and applied mathematics, with a strong focus on research excellence. It aims to cultivate the next generation of mathematical thinkers, capable of discovering, integrating, and applying advanced knowledge to solve real-world problems.
Program Overview
This program goes far beyond technical training, fostering the development of advanced mathematical expertise and deep analytical thinking. It equips students to tackle complex challenges with a critical and innovative mindset, empowering them to make meaningful contributions across a broad range of projects and disciplines. With a curriculum designed to address the technological challenges of the 21st century, graduates are exceptionally prepared for academic careers and leadership roles in industry, government, and beyond.
Core Mathematical Areas
The program offers high-quality instruction in several core mathematical areas, including:
- Analysis
- Geometry & Topology
- Algebra
- Discrete Mathematics
- Computational Mathematics
- Probability and Financial Mathematics
- Applied Mathematics
Specialization Options
Students can tailor their education by specializing in one or more cutting-edge research topics, such as:
- Big Data and Mathematical Statistics
- Cryptography
- Combinatorics and Graph Theory
- Commutative Algebra and Algebraic Geometry
- Control and Optimization
- Differential and Symplectic Geometry
- Financial Mathematics
- Fluid and Plasma Dynamics
- Free Boundary Problems
- Functional Analysis
- Harmonic Analysis
- Inverse Problems
- Machine Learning
- Mathematical Biology
- Nonlinear Waves and Dynamics
- Numerical Analysis
- Partial Differential Equations
- Probability and Stochastic Analysis
- Tomography and Medical Imaging
Program Structure
The program is structured into three key phases:
- Foundational Training in Mathematics
- Pathway to Specialized Expertise
- Dissertation
Degree Requirements
Required Courses
- Complete at least 9 of the following courses:
- MAA5237 - Mathematical Analysis (3)
- MAA6405 - Complex Analysis I (3)
- MAS5311 - Algebra I (3)
- MAD5205 - Graph Theory I (3)
- MAA6416 - Topology (3)
- MTG5256 - Differential Geometry (3)
- MAS5145 - Advanced Linear Algebra and Matrix Theory (3)
- MAT5712 - Scientific Computing (3)
- MAP5336 - Ordinary Differential Equations and Applications (3)
- MAP6356 - Partial Differential Equations (3)
- MAA5238 - Measure and Probability I (3)
- MAP6111 - Mathematical Statistics (3)
Electives
- Earn at least 30 credits from advanced mathematical courses at the 6000 or 7000 level.
Dissertation
- Earn at least 15 credits from dissertation research.
Examinations
Qualifying Examination
- Pass two written Qualifying Examinations in Analysis and Linear Algebra.
Candidacy Examination
- Pass a Candidacy Examination that focuses on advanced topics closely aligned with the student's prospective dissertation project.
Admission to Candidacy
Requirements for Admission to Candidacy include:
- Completion of Coursework
- Candidacy Examination
- Advisory Commitment
- Program of Study
Dissertation Proposal Examination
- Prepare a Dissertation Proposal and present it orally to the Dissertation Advisory Committee for approval.
Dissertation Defense
- Defend the dissertation in an oral presentation.
Time Limitation
- Complete the PhD program within five years after joining the program.
- Finalize the dissertation within a maximum of seven years after starting the program.
Grand Total Credits
- 72 credit hours minimum beyond the Bachelor's Degree.