An original composition in one movement for a chamber octet comprised of a string quartet and a jazz piano quartet with tenor saxophone. The work develops an idée fixe, introduced in the opening bars, through a wide variety of transformations, textures, and styles. The two quartets begin in antiphonal alteration, united in thematic material, yet separated by style. A modern art music style contrasts with an improvisational jazz style. Gradually, the two quartets, and their concomitant musics, bleed into one another, breaking down stylistic boundaries. In the conclusion of the work, the idée fixe, the supplementary themes, and the two quartets coalesce into an organic sonic whole.

We compute the exact partition function of two dimensional N=(2,2) supersymmetric gauge theories on S². For theories with SU(2|1)_A invariance, the partition function admits two equivalent representations corresponding to localization on the Coulomb branch or the Higgs branch, which includes vortex and anti-vortex excitations at the poles. For SU(2|1)_B invariant gauge theories, the partition function is localized to the Higgs branch which is generically a Kähler quotient manifold. The resulting partition functions are invariant under the renormalization group flow. For gauge theories that flow in the infrared to Calabi-Yau nonlinear sigma models, the partition functions for the SU(2|1)_A (resp SU(2|1)_B) invariant theories compute the Kähler potential on the Kähler moduli (resp. complex structure moduli) of the Calabi-Yau manifold. We also compute the elliptic genus of such theories in the presence of Stückelberg fields and show that they are modular completions of mock Jacobi forms.

Nigel (Henry) Butterley (b. 1935) is recognised as one of Australia??s foremost contemporary composers. His works span most compositional genres. By making a case for the value of sketch study in the process of musical analysis, the principal purpose of this thesis is to augment understanding of Butterley??s music and in particular, his compositional processes and procedures through the various stages of the genesis of a composition, from the sketch to final score. Butterley??s string quartets, composed between the years 1965 to 2001 provide the basis for this study; these works are contextualised and examined to illustrate his approach to composition in microcosm and also his individual style within the genre of string quartet writing. This study focuses on the examination of preliminary sketches, drafts and holographs, as well as the scores of the completed works. Initially, analysis is based on preliminary sketches; this will be augmented by a formal analysis of the completed works. Traditionally, formal analysis deals with the final product, something that has been created, and in a sense, views a work retrospectively. Sketch study, in contrast, examines the work as it is being created and is concerned with the attendant compositional issues and choices available to the composer and the processes followed as he or she creates the composition. The current work will identify significant common features in all the string quartets, and will trace Butterley??s compositional trajectory through these works demonstrating that individual characteristics of Butterley??s style, emergent as early as 1965, continued to be utilised in 1995 and remain present in the Bagatelle of 2001. That these characteristics remain present in a minut?? is significant, in that the Bagatelle may be seen as a microcosm of the writing style evident in his larger works. This thesis will demonstrate that sketch study and formal analysis may interact in order to provide a more comprehensive interpretation of a composer??s work and enrich the understanding and appreciation of the compositional process and the final product, ultimately impacting on the realisation of a composer??s work through performance.

D.M.A. final project--Department of Music, Stanford University, 2003. / Pref. includes abstract and performance instructions. "Weave, for string trio, is formed of three solo pieces: Weft for violin solo, Shuttle for viola solo, and Warp for cello solo, each composed using a common structural and metrical grid, so that they may be performed simultaneously"--Leaf iv.

Thesis (Ph. D.)--University of Texas at Austin, 2008. / Vita. Includes bibliographical references.

Thesis (MMus.) - University of Glasgow, 2008. / MMus. thesis submitted to the Faculty of Arts, Department of Music, Univeristy of Glasgow 2008. Includes bibliographical references. Print version also available.

Thesis (Ph. D.)--University of California, San Diego, 2004. / For string quartet and lyric soprano. Vita. Acc. tape includes recording of work.

Thesis (Ph. D.)--Rutgers University, 2008. / "Graduate Program in Physics and Astronomy." Includes bibliographical references (p. 161-174).

Thesis (Ph. D.)--University of Texas at Austin, 1998. / Vita. Includes bibliographical references (leaves 113-117). Available also in a digital version from Dissertation Abstracts.

Thesis (Ph. D.)--University of Texas at Austin, 1999. / Vita. Includes bibliographical references (leaves 163-174). Available also in a digital version from Dissertation Abstracts.