The Department was founded in 1845. It runs undergraduate programmes in Mathematics, in Computing and in Financial Mathematics. It also offers masters programmes in Mathematics and has a number of PhD students. Details of these programmes can be found on the page for future students.

The Department carries out research in Algebra, Analysis, Geometry/Topology, and Statistics. Details are given on the Department's research page. There is also a weekly seminar. Furthermore, the De Brun Centre is dedicated to computational algebra.

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Recent Submissions

  • Cell complexes database for the Bianchi groups 

    Rahm, Alexander D. (NUI Galway, 2016-05-18)
    This is a database of quotients by Bianchi groups of two-dimensional cellular equivariant retracts of Hyperbolic three-space. The Bianchi groups SL(2, A), with A the ring of integers in the imaginary quadratic number field ...
  • Phase behaviour of self-assembled monolayers controlled by tuning physisorbed and chemisorbed states: A lattice-model view 

    Cheung, David L. (American Institute of Physics, 2016-04-07)
    The self-assembly of molecules on surfaces into 2D structures is important for the bottom-up fabrication of functional nanomaterials, and the self-assembledstructure depends on the interplay between molecule-molecule ...
  • The mod 2 cohomology rings of SL2 of the imaginary quadratic integers 

    Rahm, Alexander D. (Elsevier ScienceDirect, 2015-09-28)
    We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL2 groups over imaginary quadratic integers on their associated symmetric space. By way of doing this, ...
  • On the equivariant K-homology of PSL_2 of the imaginary quadratic integers 

    Rahm, Alexander D. (Association des Annales de l'Institut Fourier, 2016-09)
    We establish formulae for the part due to torsion of the equivariant $K$-homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary number-theoretic quantities. To achieve this, ...
  • A note about waves in dissipative and dispersive solids 

    Destrade, Michel; Saccomandi, Giuseppe (World Scientific, 2008)
    We study shear waves propagating in a special viscoelastic model proposed first by Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces the full balance equations to a system of evolution equations ...
  • Waves and vibrations in a solid of second grade 

    Destrade, Michel; Saccomandi, Giuseppe (World Scientific, 2006)
    We study the viscoelastic second grade solid, for which the constitutive equation consists in the sum of a purely elastic part and a viscoelastic part; this latter part is specified by two microstructural coefficients ...
  • A refinement of a conjecture of Quillen 

    Rahm, Alexander D. (Elsevier ScienceDirect, 2015-09)
    We present some new results on the cohomology of a large scope of SL2 groups in degrees above the virtual cohomological dimension, yielding some partial positive results for the Quillen conjecture in rank one. We combine ...
  • Incremental equations for soft fibrous materials 

    Destrade, Michel (Springer, 2015)
    The general theory of nonlinear anisotropic elasticity is extended to describe small-amplitude motions and static deformations that can be superimposed on large pre-strains of fibre-reinforced solids. The linearised ...
  • Interface waves in pre-stressed incompressible solids 

    Destrade, Michel (Springer, 2007)
    We study incremental wave propagation for what is seemingly the simplest boundary value problem, namely that constitued by the plane interface of a semi-infinite solid. With a view to model loaded elastomers and soft ...
  • Mechanical properties of excised human skin 

    Ni Annaidh, Aisling; Ottenio, M.; Bruyere, K.; Destrade, Michel; Gilchrist, Michael D. (Springer Verlag, 2010)
    In this study we have investigated in influence of location, gender and orientation on the deformation characteristics of 55 samples of human excised skin. Uniaxial tensile tests were carried out at a strain rate of ...
  • Multiples of Pfister forms 

    O'Shea, James (Elsevier, 2016-03-01)
    The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ...
  • Toward a predictive assessment of stab-penetration forces 

    Destrade, Michel (Lippincott, Williams & Wilkins, 2015-09)
    Collaborative research between the disciplines of forensic pathology and biomechanics was undertaken to investigate the hyperelastic properties of human skin, to determine the force required for sharp instrument penetration ...
  • ENDOCOM: Abdominal aortic aneurysm test bench for in vitro simulation 

    Destrade, Michel (IEEE, 2007)
    An abdominal aortic aneurysm (AAA) is a dilatation of the aorta at the abdominal level, whose rupture is a life threatening complication. Recent treatment procedures of AAA consists in endovascular treatment with covered ...
  • Finite-amplitude Love waves in a pre-stressed neo-Hookean material 

    Destrade, Michel; Rodrigues Ferreira, Elizabete; Boulanger, Philippe (2008)
    In the context of the non-linear elasticity theory we consider a model for compressible solids called compressible neoHookean material . We show how (exact) finite-amplitude inhomogeneous plane wave solutions and ...
  • Uniform transmural strain in pre-stressed arteries occurs at physiological pressure 

    Destrade, Michel; Liu, Yi; Murphy, Jeremiah G.; Kassab, Ghassan S. (Elsevier, 2012-06-21)
    Residual deformation (strain) exists in arterial vessels, and has been previously proposed to induce homogeneous transmural strain distribution. In this work, we present analytical formulations that predict the existence ...
  • A combined experimental and numerical study of stab-penetration forces 

    Ní Annaidh, Aisling; Cassidy, Mary; Curtis, Michael; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2013-12)
    The magnitude of force used in a stabbing incident can be difficult to quantify, although the estimate given by forensic pathologists is often seen as 'critical' evidence in medico-legal situations. The main objective of ...
  • On stress-dependent elastic moduli and wave speeds 

    Destrade, Michel; Ogden, R.W. (Oxford University Press, 2013)
    On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent ...
  • On anisotropic elasticity and questions concerning its Finite Element implementation 

    Vergori, Luigi; Destrade, Michel; McGarry, Patrick; Ogden, Ray W. (Springer, 2013-05-21)
    We give conditions on the strain-energy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elasticity. We uncover the limitations associated ...
  • Mechanical characterization of brain tissue in simple shear at dynamic strain rates 

    Rashid, Badar; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2013-12)
    During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury (DAI) occurs in animals and humans when ...
  • Shear instability in skin tissue 

    Ciarletta, Pasquale; Destrade, Michel; Gower, Artur L. (Oxford University Press, 2013)
    We propose two toy-models to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by ...

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