MPhil/PhD Programme

The Department currently has three main research groups; namely Applied Statistics and Financial Mathematics, Optimization and Operations Research as well as Engineering and Computational Mathematics. The department offers both MPhil and PhD research programmes in the following five major areas:


Applied Optimization and Optimal Control
  • Computational optimal control
  • Financial engineering
  • Mathematical programming
  • Nonlinear optimisation
  • Signal processing
  • Statistical optimization
  • Optimization software
Financial Mathematics
  • Financial engineering
  • Investment science
  • Mathematical finance
  • FinTech
Applied Statistics
  • Biostatistics
  • High-dimensional data analysis
  • Network analysis
  • Statistical learning
  • Survival analysis
  • Time series analysis
  • Data science
Operations Research
  • Forecasting
  • Heuristics
  • Inventory control
  • Manufacturing network flows
  • Supply chain management
  • Transportation
  • Operations optimization
Computational Mathematics
  • Mathematical biology and epidemiology
  • Numerical linear algebra
  • Numerical methods for differential equations
  • Numerical software


Research interests of individual academic staff can be found at Academic Staff. Currently the department has more than 40 research students studying MPhil / PhD research degree; see Research Student for more information about current research students.

Normal Duration
  •  Full-timePart-time
  • PhD Programme36 months72 months
  • PhD Programme (students admitted with only a Bachelor’s degree)48 months96 months
  • MPhil Programme24 months48 months
Research Studentships

PolyU offers Research Studentships to full-time PhD or MPhil students. The Studentship is a scholarship intended to be a means of financial support to allow full-time research students to fully focus on their studies. It shall be awarded on the basis of academic merit. The period of the Studentship is decided by the Department according to the student’s ability, academic background or experience.

General Entrance Requirements


Entrance Requirements

2-year full-time/ 4-year part-time MPhil programme

at least hold a Bachelor’s degree in mathematics, statistics, or engineering with Second Class Honours or above (or equivalent qualification) conferred by a recognised university

3-year full-time / 6-year part-time PhD programme

normally hold an MPhil or equivalent (a research postgraduate degree with a dissertation as an award requirement) conferred by a recognised university

4-year full-time / 8-year part-time PhD programme

normally hold:

  • A Master’s degree; OR
  • A Bachelor’s degree with First Class Honours (or equivalent qualification), conferred by a recognised university.
English Language Requirement

The requirements for those who do not have a degree for which English was the language of instruction at a recognised university are:

  • An overall score of at least 6.5 in the International English Language Testing System (IELTS); OR
  • A Test of English as a Foreign Language (TOEFL) score of 80 or above for the Internet-based test or 550 or above for the paper-based test.

All English language test scores are considered valid for two years after the date of the test.

For further details about admission, please refer to the Academic Registry website via Study@PolyU

You may visit for more information on the Hong Kong PhD Fellowship Scheme.

Programme Structure for Research programme


Course/ Credit Requirement


Students are mainly conducting research study under the supervision of their main supervisor’s guidance. Different categories of students need to attain different credit requirements. The credit requirements should cover attending seminars and Practicum as follows:


2-year MPhil: 9 credits

(1 credit from HTI6081 + 2 credits from attending seminars (AMA67711+AMA67712) +AMA613+ 3 credits from other subjects)


3-year PhD: 15 credits

(1 credit from HTI6081 + 3 credits from attending seminars (AMA67711+AMA67712+AMA67713) + 2 credits from Practicum (AMA67721+AMA67722) + AMA613+ 6 credits from other subjects)


4-year PhD: 22 credits

(1 credit from HTI6081 + 4 credits from attending seminars (AMA67711+AMA67712+AMA67713+AMA67714) + 2 credits from Practicum (AMA67721+AMA67722) + AMA613+12 credits from other subjects)


Other subjects can be chosen from the research postgraduate subject list offered by AMA, other PolyU departments or other local Universities with a similar level.


Programme Document For Research Degrees











List of Subject


Subject Code

Subject Title


Advanced probability theory


Applied Analysis


Numerical methods for Partial Differential Equations


Mathematics Seminar


Mathematical Statistics


Nonlinear Optimization Methods


Statistics for Finance


Guided Study in Applied Optimization


Guided Study in Operations Research


Guided Study in Applied Statistics


Guided Study in Financial Mathematics


Guided Study in Engineering Mathematics


Guided Study in Computational Mathematics


Guided Study on Research Topics in Applied Mathematics


Research Seminars


Research Seminars


Research Seminars


Research Seminars






Presentation Skills for Research Students


Thesis Writing for Research Students


Advanced Academic English for Research Students: Publishing and Presenting


Ethics: Research, Professional & Personal Perspectives

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