Planar Refrains

My practice explores phenomenal poetic truths that exist in fissures between the sensual and physical qualities of material constructs. Magnifying this confounding interspace, my work activates specific instruments within mutable, relational systems of installation, movement, and documentation. The tools I fabricate function within variable orientations and are implemented as both physical barriers and thresholds into alternate, virtual domains. Intersecting fragments of sound and moving image build a nexus of superimposed spatialities, while material constructions are enveloped in ephemeral intensities. Within this compounded environment, both mind and body are charged as active sites through which durational, contemplative experiences can pass. Reverberation, the ghostly refrain of a sound calling back to our ears from a distant plane, can intensify our emotional experience of place. My project Planar Refrains utilizes four electro-mechanical reverb plates, analog audio filters designed to simulate expansive acoustic arenas. Historically these devices have provided emotive voicings to popular studio recordings, dislocating the performer from the commercial studio and into a simulated reverberant territory of mythic proportions. The material resonance of steel is used to filter a recorded signal, shaping the sound of a human performance into something more transformative, a sound embodying otherworldly dynamics. In subverting the designed utility of reverb plates, I am exploring their value as active surfaces extending across different spatial realities. The background of ephemeral sonic residue is collapsed into the foreground, a filter becomes sculpture, and this sculpture becomes an instrument in an evolving soundscape

Curves of fixed points of trace maps

We study curves of fixed points for certain diffeomorphisms of ${\mathbb{R}}^3$ that are induced by automorphisms of a trace algebra. We classify these curves. There is a function $E$ which is invariant under all such trace maps and the level surfaces $E_t: E=t$ are invariant; a point of $E_t$ will be said to have level $t$. The surface $E_1$ is significant. Then most fixed points on $E_1$ are actually on a curve $\gamma$ of fixed points interior to $E_1$. We describe the possibilities for the other end of $\gamma$ on $E_1$

Measuring Hospital Performance: The Importance of Process Measures

Evaluates the effectiveness of Hospital Quality Alliance standards, and identifies specific activities hospitals can work on to improve performance and deliver higher quality health care

A characterisation of generically rigid frameworks on surfaces of revolution

A foundational theorem of Laman provides a counting characterisation of the finite simple graphs whose generic bar-joint frameworks in two dimensions are infinitesimally rigid. Recently a Laman-type characterisation was obtained for frameworks in three dimensions whose vertices are constrained to concentric spheres or to concentric cylinders. Noting that the plane and the sphere have 3 independent locally tangential infinitesimal motions while the cylinder has 2, we obtain here a Laman-Henneberg theorem for frameworks on algebraic surfaces with a 1-dimensional space of tangential motions. Such surfaces include the torus, helicoids and surfaces of revolution. The relevant class of graphs are the (2,1)-tight graphs, in contrast to (2,3)-tightness for the plane/sphere and (2,2)-tightness for the cylinder. The proof uses a new characterisation of simple (2,1)-tight graphs and an inductive construction requiring generic rigidity preservation for 5 graph moves, including the two Henneberg moves, an edge joining move and various vertex surgery moves.Comment: 23 pages, 5 figures. Minor revisions - most importantly, the new version has a different titl