Mathematics
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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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Oblique wrinkles
(The Royal Society Publishing, 20170403)We prove theoretically that when a soft solid is subjected to an extreme deformation, wrinkles can form on its surface at an angle that is oblique to a principal direction of stretch. These oblique wrinkles occur for a ... 
Catastrophic thinning of dielectric elastomers
(American Physical Society, 20170215)We provide an energetic insight into the catastrophic nature of thinning instability in soft electroactive elastomers. This phenomenon is a major obstacle to the development of giant actuators, yet it is neither completely ... 
Elastic Cherenkov effects in transversely isotropic soft materialsI: Theoretical analysis, simulations and inverse method
(Elsevier, 20160625)A body force concentrated at a point and moving at a high speed can induce shearwave Mach cones in dustyplasma crystals or soft materials, as observed experimentally and named the elastic Cherenkov effect (ECE). The ECE ... 
Methodical fitting for mathematical models of rubberlike materials
(The Royal Society Publishing, 20170208)A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth understanding of the successive stages of large extension is still lacking. We show that the response can be ... 
Edge wrinkling in elastically supported prestressed incompressible isotropic plates
(The Royal Society Publishing, 20160907)The equations governing the appearance of flexural static perturbations at the edge of a semiinfinite thin elastic isotropic plate, subjected to a state of homogeneous biaxial prestress, are derived and solved. The plate ... 
Strain energy function for isotropic nonlinear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 20160718)We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ... 
The annual GiG  Groups in Galway
(NUI Galway, 2015)The GiG (Groups in Galway) conference, and related activity, has been running annually since 1978 and is the longest running annual international mathematical conference on a special topic. It has its origin from the ... 
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 20130716)We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the nontrivial degeneration limit where one torus is pinched down ... 
Onde de Love Piézoacoustique
(20060424)Une sélection de résultats analytiques et numériques concernant la propagation d'ondes planes harmoniques guidées dans un bicouche piézoélectrique est présentée. L'étude effectuée concerne les modes transverses horizontaux ... 
Ray W Ogden: An Appreciation
(SAGE Publications, 201507)This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ... 
Wireless communicative stent for followup of abdominal aortic aneurysm,
(IEEE, 2006)An abdominal aortic aneurysm (AAA) is a dilatation of the aorta at the abdominal level, which rupture is a life threatening complication. Recent treatment of AAA consists in endovascular treatment with covered stent grafts. ... 
On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(Nature Publishing Group, 20160426)Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ... 
Cell complexes database for the Bianchi groups
(NUI Galway, 20160518)This is a database of quotients by Bianchi groups of twodimensional cellular equivariant retracts of Hyperbolic threespace. The Bianchi groups SL(2, A), with A the ring of integers in the imaginary quadratic number field ... 
Phase behaviour of selfassembled monolayers controlled by tuning physisorbed and chemisorbed states: A latticemodel view
(American Institute of Physics, 20160407)The selfassembly of molecules on surfaces into 2D structures is important for the bottomup fabrication of functional nanomaterials, and the selfassembledstructure depends on the interplay between moleculemolecule ... 
The mod 2 cohomology rings of SL2 of the imaginary quadratic integers
(Elsevier ScienceDirect, 20150928)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 Khomology of PSL_2 of the imaginary quadratic integers
(Association des Annales de l'Institut Fourier, 201609)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 numbertheoretic quantities. To achieve this, ... 
A note about waves in dissipative and dispersive solids
(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
(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
(Elsevier ScienceDirect, 201509)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
(Springer, 2015)The general theory of nonlinear anisotropic elasticity is extended to describe smallamplitude motions and static deformations that can be superimposed on large prestrains of fibrereinforced solids. The linearised ...