Research in the School of Mathematics & Statistics spans pure & applied mathematics, statistics and operations research. Staff are actively engaged in research at the forefront of their fields and the School fosters and supports all forms of scholarship. Research informs all aspects of the Schools’ activities, particularly the teaching, and postgraduate students who are a vital part of the research ethos.

Postgraduate education is fundamental to the activities of the School and postgraduate students are active participants in the research community. The School offers opportunities for postgraduate study in mathematical sciences and statistics towards the degrees of MPhil and PhD on either a part-time or a full-time basis.

Mathematical Sciences Research Group 

Research in the School of Mathematics & Statistics is brought together through the Mathematical Sciences Research Group. The group encompasses research across Mathematical Sciences and strongly encourages collaboration between members of the School and external researchers, research centres and industry.

Areas of research activity

• Fluid Mechanics:

  Prandtl boundary layers; slow viscous flows; rotationally-driven flows; nonlinear water waves; wave-current interactions; fluid flows with vorticity; boundary layers; applications to melt-spinning processes.
  • Researchers: Nicole Beisiegel; John Butler; Laura Cooke; Chris Hills; Rossen Ivanov; Brendan Redmond;
  • Collaborators: Environmental Sustainability & Health Institute (ESHI)

• Functional Analysis, Algebra & Geometry:

  Finite geometry; combinatorics; coding theory; infinite-dimensional holomorphy; applications of functional analysis; topological & geometric methods in group theory.
  • Researchers: Milena Venkova; Colum Watt

• Mathematical Modelling & Simulation:

  Theoretical neuroscience; signal processing; computational statistics; modelling of problems in physics or biotechnology; nonlinear dynamical systems & differential equations; computational finance; numerical analysis.
  • Researchers: Nicole Beisiegel; John Butler; Alberto Caimo; Dana Mackey; Stephen O'Sullivan
  • Collaborators: Laura Cooke; Chris Hills; Rossen Ivanov; Brendan Redmond; Environmental Sustainability & Health Institute (ESHI); Industrial & Engineering Optics (IEO); Facility for Optical Characterisation & Spectroscopy (FOCAS)

• Mathematical Physics:

  Quantum field theory in curved space-times; integrable systems and solitons; Lagrangian & Hamiltonian mechanics; high-energy astrophysics; star formation; high-performance computing in mathematical physics; quantum, classical & topological field theory; general relativity & cosmology.
  • Researchers: Cormac Breen; Rossen Ivanov; Stephen O'Sullivan; Emil Prodanov

• Statistics:

  Bioinformatics; probabilistic model selection; bootstrapping; Bayesian analysis; statistical network analysis; regression models with random effects; survival analysis & frailty; classification methods.
  • Researchers: John Butler; Alberto Caimo; Joe Condon
  • Collaborators: Environmental Sustainability & Health Institute (ESHI)

• Mathematics Education:

  Diagnostic testing; the transition to third-level education; the impact of the Project Maths curriculum on third-level education; problem-based learning in mathematics; online assessment.
  • Researchers: Cormac Breen; Blathnaid Sheridan
  • Collaborators: Dana Mackey; Milena Venkova; Mathematics Learning Centre (MLC)

Publications

• TU Dublin open-access research repository: Arrow

Researcher profiles

• Academic staff profiles