Postgraduate study in the School of Mathematics offers students a range of subjects in pure mathematics, theoretical physics, and interdisciplinary subjects such as bioinformatics. 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 (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.

Postgraduate students in the School may read for a M.Sc. degree by research. They may also pursue a one-year, full-time taught course in High-Performance Computing. 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 possess a good honours degree (i.e. an upper second class at least) and to have the necessary background to pursue advanced study in their chosen field of research.

The School has two broad research groups in Pure Mathematics and Theoretical Physics areas. Research in the School is being funded by IRC, SFI, ERC, H2020, the Royal Society, and the Simons Foundation.

Pure Mathematics: The main research groups concentrate on partial differential equations, operator algebras, operator theory and complex analysis, several complex variables, real and complex algebraic geometry, algebra, algorithms, numerical analysis and scientific computing as well as history of mathematics.

Theoretical Physics research groups focus on String Theory and Lattice Quantum Chromodynamics.