The global classroom for supply chain management, any time, anywhere!

Academia is facing increasing demands in the design and delivery of their degree programmes due to resource constraints and the demands to embrace. The purpose of this article is to examine the requirement for quality education in the field of supply chain management. The approach adopted here is a reflective one, looking at recent trends in postgraduate Supply Chain Management (SCM) education and focusing in particular on a new mode of delivery, that of e-learning. The paper considers the development of SCM education and presents the range of supply chain management programmes and modules being offered across a selection of UK universities. The article also highlights the dynamic character of SCM education and considers whether the e-learning format is capable of responding to the requirements for quality in this field. Through a focus on one particular programme, the wholly online postgraduate programme in Operations and Supply Chain Management at the University of Liverpool. The conclusions are that new forms of teaching and learning are opening up to Higher Education Institutions (HEIs). The aim of the research was to discover the real time dynamic of SCM practice and theory, objective and subjective perspectives

The genus spectrum of a hyperbolic 3-manifold

In this article we study the spectrum of totally geodesic surfaces of a finite volume hyperbolic 3-manifold. We show that for arithmetic hyperbolic 3-manifolds that contain a totally geodesic surface, this spectrum determines the commensurability class. In addition, we show that any finite volume hyperbolic 3-manifold has many pairs of non-isometric finite covers with identical spectra. Forgetting multiplicities, we can also construct pairs where the volume ratio is unbounded

Embedding arithmetic hyperbolic manifolds

We prove that any arithmetic hyperbolic $n$-manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic $(n+1)$-manifold or its universal $\mathrm{mod}~2$ Abelian cover can.Comment: 20 pages; revised version, typos corrected; Mathematical Research Letters vol. 25, no.