De-Centering Dominance, Reclaiming Resilience

Although there is a significant body of literature bolstering the concept, the term “resilience” is often misused and abused in the academy at the expense of the most marginalized students and community members. In this article, I advocate for reclaiming resilience as using creativity to survive and challenge dominant views of resilience. Furthermore, I call for de-centering dominance in conversations about diversity and inclusion to represent and serve the needs of marginalized students navigating institutional barriers and systems that were never meant for them

Higher-Dimensional Algebra III: n-Categories and the Algebra of Opetopes

We give a definition of weak n-categories based on the theory of operads. We work with operads having an arbitrary set S of types, or `S-operads', and given such an operad O, we denote its set of operations by elt(O). Then for any S-operad O there is an elt(O)-operad O+ whose algebras are S-operads over O. Letting I be the initial operad with a one-element set of types, and defining I(0) = I, I(i+1) = I(i)+, we call the operations of I(n-1) the `n-dimensional opetopes'. Opetopes form a category, and presheaves on this category are called `opetopic sets'. A weak n-category is defined as an opetopic set with certain properties, in a manner reminiscent of Street's simplicial approach to weak omega-categories. Similarly, starting from an arbitrary operad O instead of I, we define `n-coherent O-algebras', which are n times categorified analogs of algebras of O. Examples include `monoidal n-categories', `stable n-categories', `virtual n-functors' and `representable n-prestacks'. We also describe how n-coherent O-algebra objects may be defined in any (n+1)-coherent O-algebra.Comment: 59 pages LaTex, uses diagram.sty and auxdefs.sty macros, one encapsulated Postscript figure, also available as a compressed Postscript file at http://math.ucr.edu/home/baez/op.ps.Z or ftp://math.ucr.edu/pub/baez/op.ps.

On Representations of Conformal Field Theories and the Construction of Orbifolds

We consider representations of meromorphic bosonic chiral conformal field theories, and demonstrate that such a representation is completely specified by a state within the theory. The necessary and sufficient conditions upon this state are derived, and, because of their form, we show that we may extend the representation to a representation of a suitable larger conformal field theory. In particular, we apply this procedure to the lattice (FKS) conformal field theories, and deduce that Dong's proof of the uniqueness of the twisted representation for the reflection-twisted projection of the Leech lattice conformal field theory generalises to an arbitrary even (self-dual) lattice. As a consequence, we see that the reflection-twisted lattice theories of Dolan et al are truly self-dual, extending the analogies with the theories of lattices and codes which were being pursued. Some comments are also made on the general concept of the definition of an orbifold of a conformal field theory in relation to this point of view.Comment: 11 pages, LaTeX. Updated references and added preprint n

The Quantum Hall Effect in Graphene: Emergent Modular Symmetry and the Semi-circle Law

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed quantum Hall effect in graphene as a test of these ideas, and identify to this end a class of predictions for graphene which would follow from the same modular arguments. We are led to a suite of predictions for high mobility samples that differs from those obtained for the conventional quantum Hall effect in semiconductors, including: predictions for the locations of the quantum Hall plateaux; predictions for the positions of critical points on transitions between plateaux; a selection rule for which plateaux can be connected by low-temperature transitions; and a semi-circle law for conductivities traversed during these transitions. Many of these predictions appear to provide a good description of graphene measurements performed with intermediate-strength magnetic fields.Comment: 4 pages, 2 figure

Prisons and Drugs: A global review of incarceration, drug use and drug services. Report 12

Prisons play an important role in drug policy. They are used to punish people who break drug laws and they also hold a large number of people who have experience of drug use and drug problems. They therefore have an important part to play in attempts to reduce the harm caused by drugs. Imprisonment itself can be seen as one type of harm, as it causes problems for prisoners and their families and creates a large financial burden for taxpayers. Theseharms and costs are difficult to calculate, but there is little evidence that large scale imprisonment of drug offenders has had the desired results in deterring drug use or reducing drug problems (Bewley- Taylor, Trace, & Stevens, 2005). In this paper, we examine the international prevalence of drug users, drug use and related problems in prisons and we report on the problems that are related to the issue of drugs in prison. We go on to examine the international guidelines and effective responses that have been developed in this area in the last decade. The paper is a review of the literature, based on a search of bibliographic databases, including Medline, PubMed, ISI as well as EMBASE and contacts with researchers and practitioners in the field up to January 2007

The Standard Model Fermion Spectrum From Complex Projective spaces

It is shown that the quarks and leptons of the standard model, including a right-handed neutrino, can be obtained by gauging the holonomy groups of complex projective spaces of complex dimensions two and three. The spectrum emerges as chiral zero modes of the Dirac operator coupled to gauge fields and the demonstration involves an index theorem analysis on a general complex projective space in the presence of topologically non-trivial SU(n)xU(1) gauge fields. The construction may have applications in type IIA string theory and non-commutative geometry.Comment: 13 pages. Typset using LaTeX and JHEP3 style files. Minor typos correcte