School of Mathematics, Statistics and Applied Mathematics
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Genus two partition and correlation functions for fermionic vertex operator superalgebras II
(20181018)We define and compute the continuous orbifold partition function and a generating function for all npoint correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ... 
Genus two zhu theory for vertex operator algebras
(20161027)We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ... 
N=2 and N=4 subalgebras of super vertex operator algebras
(IOP Publishing, 20180110)We develop criteria to decide if an N=2 or N=4 super conformal algebra is a subalgebra of a super vertex operator algebra in general, and of a super lattice theory in particular. We give some specific examples. 
Zhu reduction for Jacobi npoint functions and applications
(20170623)We establish precise Zhu reduction formulas for Jacobi npoint functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly ... 
Genus two virasoro correlation functions for vertex operator algebras
(20161206)We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms ... 
On exceptional vertex operator (Super) algebras
(Springer, 20141001)We consider exceptional vertex operator algebras and vertex operator superalgebras with the property that particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendents ... 
Vertex algebras according to Isaac Newton
(IOP Publishing, 20170908)We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton. 
Electromechanical response of a 3D nerve bundle model to mechanical loads leading to axonal injury
(Wiley, 20171121)Traumatic brain injuries and damage are major causes of death and disability. We propose a 3D fully coupled electromechanical model of a nerve bundle to investigate the electrophysiological impairments due to trauma at ... 
Modified multiplicative decomposition model for tissue growth: Beyond the initial stressfree state
(Elsevier, 20180519)The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a ... 
On the table of marks of a direct product of finite groups
(Elsevier, 20171228)We present a method for computing the table of marks of a direct product of finite groups. In contrast to the character table of a direct product of two finite groups, its table of marks is not simply the Kronecker product ... 
Estimating average attributable fractions with confidence intervals for cohort and case control studies
(SAGE Publications, 20160624)Chronic diseases tend to depend on a large number of risk factors, both environmental and genetic. Average attributable fractions were introduced by Eide and Gefeller as a way of partitioning overall disease burden into ... 
Wrinkles and creases in the bending, unbending and eversion of soft sectors
(The Royal Society, 20180323)We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ... 
Surface stability of nonlinear magnetoelastic solids
(Wiley, 200712)The present paper proposes to identify surface stability when a magnetoelastic halfspace is subjected to a pure homogeneous predeformation and to a magnetic field normal to its (plane) boundary. Clearly, the aim is to ... 
On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 20130318)We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ... 
An inductive approach to Coxeter arrangements and Solomon's descent algebra
(Springer Verlag, 20120720)In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the OrlikSolomon algebra of W can be decomposed into a sum of induced onedimensional ... 
Computing the table of marks of a cyclic extension
(American Mathematical Society, 20120224)The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the ... 
Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
(Elsevier, 20120603)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its OrlikSolomon algebra as sums of characters induced ... 
Cohomology of Coxeter arrangements and Solomon's descent algebra
(American Mathematical Society, 20140619)We refine a conjecture by Lehrer and Solomon on the structure of the OrlikSolomon algebra of a finite Coxeter group W and relate it to the descent algebra of W. As a result, we claim that both the group algebra of W and ... 
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
(Elsevier, 20141106)In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the pth graded ... 
On reflection subgroups of finite Coxeter groups
(Taylor & Francis, 20130614)Let W be a finite Coxeter group. We classify the reflection subgroups of W up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup R of W the conjugacy class of its ...