Award Type and NFQ level : RESEARCH PH.D. (10)

CAO/PAC code : MHR02 (FT), MHR03 (PT)

CAO Points :

Closing Date : 30 June 2018

View FETAC details

The PhD (Arts) is a research degree which usually takes four years to complete. A student must write a thesis under the direction of a member of staff containing a significant new result or an original insight. Collaborations with outside parties have involved work in Chemistry, Medicine, Archaeology, Banking, Computer-Aided Design, and other areas.

Closing date
Research applications are generally accepted at any time

September (or other agreed time)

The minimum entry requirement is a 2.1 Honours Degree in Mathematics or Statistics. A First Class degree is highly desirable. Before a student can be accepted into the programme, they must find a member of staff who is willing to act as their supervisor. For a PhD degree, a good Masters degree is often desirable.

Applicants must have a recognized primary degree which is considered equivalent to Irish university primary degree level.

Minimum English language requirements:

  • IELTS: 6.5 overall score
  • TOEFL (Paper based test): 585
  • TOEFL (Internet based test): 95
  • PTE (Pearson): 62

Maynooth University’s TOEFL code is 8850

Potential research students should decide on a general research area and then contact the academic members of staff within the Department.

Proposed research areas:

Algebra and Number Theory

  • Ring Theory
  • Character Theory of Finite Groups
  • Combinatorics and Number Theory
  • Group Theory
  • Algebraic Number Theory


  • Classical Analysis
  • Diophantine Approximation and Measure Theory
  • Real and Complex Analysis
  • Stability Theory

Geometry and Algebraic Topology

  • Differential Geometry
  • Geometric Analysis
  • Algebraic Geometry

Mathematics Education

  • Task Design and Implementation
  • Advanced Mathematical Thinking
  • Affect in Mathematics
  • Student Engagement and Motivation
  • Evaluation of Teaching Initiatives


  • Statistical Modeling in Environment and Ecology
  • Bayesian Methods of Statistical Inference
  • Statistical Computing and Graphics

PhD is the main entry degree for careers in research and third level teaching. However, many PhD graduates take up employment in areas such as Industry, Commerce, Banking and Finance, Insurance, Software Development, Process Engineering or Education.

A 2009 study in the US found that the best three jobs in terms of income, work environment, and other factors were Mathematician, Actuary, and Statistician, all jobs suited to Mathematics and Statistics graduates.

For more information about jobs in Mathematics or Statistics, see:
and the links in the ‘More Information’ section at the end of the last webpage.

Staff of the Department of Mathematics and Statistics at Maynooth University are happy to advise you on career-related matters.

Online application only

PAC Code
MHR02 PhD Arts Full-time
MHR03 PhD Arts Part-time


The following information should be forwarded to PAC, 1 Courthouse Square, Galway or uploaded to your online application form:

Certified copies of all official transcripts of results for all non-Maynooth University qualifications listed MUST accompany the application. Failure to do so will delay your application being processed. Non-Maynooth University students are asked to provide two academic references and a copy of birth certificate or valid passport.

Interested students should contact the Postgraduate Course Director in the first instance.

The Department has exchange agreements under the EC SOCRATES programme with a number of European universities. Students may spend up to half of one
year at another university under this programme, provided that a suitable programme of studies is arranged.

Financial aid is available in the form of Irish Research Council awards, Maynooth University internal postgraduate funding scheme and Departmental tutorships. Occasionally funding is available for specific projects from other agencies.


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