项目介绍

2021年2月3日

The PhD in Mathematical Sciences programme is a four-year programme that provides graduate students with a stimulating environment for conducting original research in the mathematical sciences. Graduate students take advanced courses focusing on active research topics, and perform research under the supervision of a faculty member. Our students receive intensive support in their theoretical work, as well as in practical and computational aspects (where appropriate), including access to state-of-the-art computational resources. The programme culminates in writing and defending a doctoral research thesis before a panel of experts.

Our faculty members are leading experts in a wide variety of mathematical fields, including Discrete Mathematics, Scientific Computing, Pure Mathematics, Theoretical Computer Science, as well as Probability and Statistics. Click here for a selection of recent research highlights.

Most PhD students are supported by scholarships, which cover tuition fees and provide a stipend and other forms of support. Scholarships typically include teaching and service requirements; the exact terms and conditions are explained upon the offering of the scholarship. For information about the available terms of support, please contact us.

To apply for the PhD programme, please go to our Admission Requirements page, and read the instructions carefully.

Admission Requirements and Procedures

General Requirements

Applicants to the PhD and MSc programmes must satisfy the following criteria:

• BSc in Mathematics, Mathematical Sciences, or a very closely related discipline (for those with degrees in other fields, see below). If the university has an honours system, at least second-upper class honours, or the equivalent, is required.
• For the PhD programme, applicants may optionally have a MSc degree in Mathematics or a related discipline, but this is not mandatory. If the university has an honours system, at least second-upper class honours in the MSc degree, or the equivalent, is required.
• International applicants must have GRE General Test scores or GATE scores. A GRE subject score in mathematics is welcome but not required.
• International applicants who are not native English speakers must have TOEFL scores or IETLS scores.

There are two application periods each year: October to January (for admission in August), and June to July (for admission in January). Most students are admitted during the first period. Applicants who have missed the application period, may contact the Division for advice.

For more information about admission procedures (including the list of required supporting documents and application fees), please visit the NTU Graduate Admissions page.

Applicants with Bachelor Degrees in Other Fields

Applicants without a Bachelor degree in Mathematics may be considered for admission if they have a Bachelor degree (or equivalent) in a related area, such as Computer Engineering or Natural Sciences, and have sufficient mathematical background. In addition to the other requirements, such students must submit the following documents together with their application:

1. A complete list of courses taken in Mathematics and related areas, with detailed description of the course contents.
2. A list of any further material relevant for the mathematical background, e.g. an annotated list of mathematics texbooks used for self-study.
3. An informal essay describing their motivation to enter graduate studies in the Mathematical Sciences.

Nanyang President’s Graduate Scholarship

Applicants who are Singaporeans, Singapore Permanent Residents (PRs), and/or graduates from Singaporean universities are strongly encouraged to consider applying for the Nanyang President’s Graduate Scholarship (NPGS). The application period is usually October – November. See the NPGS website for more information.

Graduation Requirements

The general graduation requirements for SPMS graduate students are described below. Graduate students enrolled under the Interdisciplinary Graduate Programme (IGP) must fulfill additional requirements; please refer to the IGP site for more information.

Graduation Requirements for PhD Students

The PhD programme has a minimum candidature period of 2 years, and a maximum of 5 years. Most students complete the programme in 4 years.

GRADUATE-LEVEL COURSEWORK

PhD students must complete a total of 16 Academic Units (AU) of graduate-level coursework, consisting of:

• At least two MAS71X modules, 4 AU each.
• At least one MAS79X (Graduate Seminar) module, 4 AU.
• One additional 7XX module (apart from MAS79X), 4 AU.
  Alternatively, the student may take one or two courses offered by other schools/divisions, counting for at least 4 AU, subject to approval from the division and the other schools.

PhD students are expected to maintain a minimum CGPA of 3.5. We recommend finishing the coursework by the end of the first year, in order to sit for the Qualifying Examination on time.

COMMUNICATION COURSES

PhD students are also required to complete the following courses on communication and related topics. These courses do not carry any AU.

• Courses from the Transferable Skills Programme:
  • Residential Programme course (during first 12 months).
  • Scholarly Communication and Impact seminar (during first 12 months).
  • Three elective modules (to be completed at any time).
  • Career Preparation Workshop (during 3rd or 4th year).
  • Three Minute Thesis Presentation Symposium (for students admitted from Academic Year 2019/2020).
• HWG703 – Graduate English (during first 18 months; must be taken before HWG702; part-time students and students who qualify as native English speakers are exempt).
• HWG702 – University Teaching for Teaching Assistants (during first 18 months; part-time students are exempt).
• HWG704 – Research Communication for Graduate Studies (during first 24 months).

RESEARCH INTEGRITY

Research integrity is of the utmost importance to the university. As such, during the first year of the PhD programme, students are required to complete:

• The SPMS Research Integrity Course (during first semester).
• The online NTU Epigeum Research Integrity Course.

QUALIFYING EXAMINATION

PhD students must pass the qualifying examination (QE) within their first 18 months. Click here for more information about the QE.

OTHER REQUIREMENTS

• Graduate students must attend at least 5 seminars each semester.
• Most graduate students are enrolled in the Graduate Assistantship Programme (GAP), which requires them to participate in lab supervision, teaching tutorials, and/or other teaching-related activities.
• Each student must meet at least once a year with a Thesis Advisory Committee (TAC), who will provide advice to ensure that the thesis is on track for completion.
• Submission of regular progress reports, including list of publications, TAC reports, and degree audit.

THE PHD THESIS

PhD students must write a research thesis. Click here for NTU’s thesis formatting and submission policies.

Once the student and supervisor have agreed that the thesis is ready, it should be submitted online (via GSLink → Academic → Thesis → Thesis Submission). After being endorsed by the supervisor, the thesis is sent to three independent examiners for evaluation. After this evaluation, the student must defend the thesis in an oral examination scheduled by the school.

Completed theses must be posted to the NTU Digital Repository.