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

To apply for the degree of MPhil, a student shall hold:

  • a Bachelor’s degree in mathematics, statistics, or engineering with first or second class honours of The Hong Kong Polytechnic University or a recognised university; or
  • other academic qualifications which are deemed to be equivalent.

To apply for the degree of PhD, a student shall normally hold a postgraduate degree containing a significant research component, such as a dissertation, conferred by The Hong Kong Polytechnic University or a recognised university.

In exceptional circumstances applicants other than those stipulated in the above paragraph may be admitted directly to the PhD programme. For example, applicants with a Bachelor's degree with First Class Honours, or the equivalent. Such applicants may be required to pass an examination. We may accept other equivalent qualifications. The decision is made on an individual basis.

English Language Requirement

Requirements for those who do not have a degree of which the language of instruction was English from a recognised university are:

For 2020/21 Entry

  • 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.

For 2019/20 Entry

  • An overall score of at least 6.5 (with score for the writing component at 6.0 or above) 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 (with a writing score of 23 or above) or 550 or above for the paper-based test with a score of at least 4 out of 6 in the Test of Written English).

 Alternatively, consideration will be given to acceptable scores in other internationally-recognised public examinations, such as the Graduate Record Examination (GRE) or the Graduate Management Admission Test (GMAT).

 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






Ethics: Research, Professional & Personal Perspectives

Back to Top