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Postgraduate study in the School of Mathematics

Postgraduate study in the School of Mathematics offers students a range of subjects in pure mathematics, theoretical physics, high-performance computing, and interdisciplinary subjects such as bioinformatics and neuroscience.

The School is small and the setting is informal which encourages close contact with staff, postdoctoral fellows, visiting scholars and fellow postgraduate students. The workshops and guests of the School's Hamilton Mathematics Institute, TCD in addition to its joint seminars with the School of Theoretical Physics of the Dublin Institute for Advanced Studies and TCD's three neighbouring universities provide a stimulating intellectual backdrop to a student's stay at TCD.

There are no formal course requirements for those pursuing a degree by research, but research students are expected to participate fully in appropriate seminars. Prospective students are expected to have achieved at least a II.1 degree and to have the necessary background to pursue advanced study in their chosen field of research. For an M.Sc. candidate the focus is on writing a substantial thesis that takes account of previously published results but which falls short of the originality expected of a Ph.D. thesis. Following evidence of initial work on a thesis topic an M.Sc. candidate may apply to transfer to the Ph.D. register after the first year. For research degrees, the range of topics is limited by the expertise and availability of supervisors within the School. See the topics below.

Entry Requirements

Postgraduate work in Trinity College Dublin is very academically challenging and as a result the University has high academic entry requirements.

Applicants will need to hold:

  • at least a 2.1 honors degree from an Irish university or equivalent result from a university in another country
  • a fluent command of the English language

Some courses may require higher standards or require you to take further tests or attend an interview.

Postgraduate Research Degrees

All students undertaking a research degree are assigned to a single principal supervisor. The supervisor’s role is essentially that of an academic guide and mentor.

If you plan to carry out your degree by research, you are advised to contact the School of Mathematics with your research proposal and arrange a suitable supervisor before submitting your application. You should initially consult the School website for further information.

Virtually all research students are initially placed on the Masters register. They may then transfer to the Ph.D. register if their progress has been satisfactory. Such transfers usually occur during the second year of full-time study.

Research Topics

Pure Mathematics

The main thrust is in analysis, especially partial differential equations, and also operator algebras, operator theory and complex analysis.

Theoretical Physics

Research in High-Performance Computing

Further Details