The Quantum McKay Correspondence for polyhedral singularities

Let G be a polyhedral group, namely a finite subgroup of SO(3). Nakamura's G-Hilbert scheme provides a preferred Calabi-Yau resolution Y of the polyhedral singularity C^3/G. The classical McKay correspondence describes the classical geometry of Y in terms of the representation theory of G. In this paper we describe the quantum geometry of Y in terms of R, an ADE root system associated to G. Namely, we give an explicit formula for the Gromov-Witten partition function of Y as a product over the positive roots of R. In terms of counts of BPS states (Gopakumar-Vafa invariants), our result can be stated as a correspondence: each positive root of R corresponds to one half of a genus zero BPS state. As an application, we use the crepant resolution conjecture to provide a full prediction for the orbifold Gromov-Witten invariants of [C^3/G].Comment: Introduction rewritten. Issue regarding non-uniqueness of conifold resolution clarified. Version to appear in Inventione

Utilization of Palm Oil Mill Effluent for Chlorella vulgaris Cultivation Medium under Mixotrophic Condition as Feedstock of Biofuel

Indonesia is largest palm oil producer in the world. Increasing of palm oil influence palm oil mill effluent (POME) production. Several researcher reported that POME is a potential medium for microalgae to grow. Microalgae cultivated in mixotrophic condition has received attention as according to higher biomass and lipid productivity to provide biofuel feedstock. The aim of this research is to study growth of Chlorella vulgaris cultured in POME medium using different organic carbon source under mixotrophic condition. Carbon source (glucose, glycerol, and acetic acid) was added in 0-1.2gr/l concentration in 40% and 100% POME. Biomass was harvested using autoflocculation method, and dry biomass was extracted using ultrasound method to obtain lipid content. Our result revealed that C. vulgaris could grow on mixotrophic condition in POME medium and produce higher biomass and lipid content rather than autotrophic condition. Concentration of organic source also influenced in growth rate and biomass production. This provides a promising process to utilize POME and produce biomass as feedstock of biofuel from microalgae. Keywords: biofuel feedstock; Chlorella vulgaris; Mixotrophic cultivation; POM

Single-centered black hole microstate degeneracies from instantons in supergravity

We obtain holographic constraints on the microscopic degeneracies of black holes by computing the exact macroscopic quantum entropy using localization, including the effects of string worldsheet instantons in the supergravity effective action. For $\frac14$-BPS black holes in type II string theory on $K3 \times T^{2}$, the constraints can be explicitly checked against expressions for the microscopic BPS counting functions that are known in terms of certain mock modular forms. We find that the effect of including the infinite sum over instantons in the holomorphic prepotential of the supergravity leads to a sum over Bessel functions with successively sub-leading arguments as in the Rademacher expansion of Jacobi forms -- but begins to disagree with such a structure near an order where the mock modular nature becomes relevant. This leads to a systematic method to recover the polar terms of the microscopic degeneracies from the degeneracy of instantons (the Gromov-Witten invariants). We check explicitly that our formula agrees with the known microscopic answer for the first seven values of the magnetic charge invariant.Comment: 32 pages, comments added in v2, submitted to JHE

Lectures on Spectrum Generating Symmetries and U-duality in Supergravity, Extremal Black Holes, Quantum Attractors and Harmonic Superspace

We review the underlying algebraic structures of supergravity theories with symmetric scalar manifolds in five and four dimensions, orbits of their extremal black hole solutions and the spectrum generating extensions of their U-duality groups. For 5D, N=2 Maxwell-Einstein supergravity theories (MESGT) defined by Euclidean Jordan algebras, J, the spectrum generating symmetry groups are the conformal groups Conf(J) of J which are isomorphic to their U-duality groups in four dimensions. Similarly, the spectrum generating symmetry groups of 4D, N=2 MESGTs are the quasiconformal groups QConf(J) associated with J that are isomorphic to their U-duality groups in three dimensions. We then review the work on spectrum generating symmetries of spherically symmetric stationary 4D BPS black holes, based on the equivalence of their attractor equations and the equations for geodesic motion of a fiducial particle on the target spaces of corresponding 3D supergravity theories obtained by timelike reduction. We also discuss the connection between harmonic superspace formulation of 4D, N=2 sigma models coupled to supergravity and the minimal unitary representations of their isometry groups obtained by quantizing their quasiconformal realizations. We discuss the relevance of this connection to spectrum generating symmetries and conclude with a brief summary of more recent results.Comment: 55 pages; Latex fil

Who's Making It: The Academic Achievement of Recent Boston Public School Graduates in the Early College Years

Examines the persistence, progress, and performance of Boston public school graduates in the first two years of college; contributing factors, including academic preparation, colleges' selectivity, and full-time or part-time attendance; and implications

Molecular epidemiology of waterborne zoonoses in the North Island of New Zealand : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Veterinary Science (Epidemiology and Public Health) at Institute of Veterinary, Animal and Biomedical Sciences (IVABS), Massey University, Palmerston North, New Zealand

Campylobacter, Cryptosporidium and Giardia species are three important waterborne zoonotic pathogens of global public health concern. This PhD opens with an interpretive overview of the literature on Campylobacter, Cryptosporidium and Giardia spp. in ruminants and their presence in surface water (Chapter 1), followed by five epidemiological studies of Campylobacter, Cryptosporidium and Giardia spp. in cattle, sheep and aquatic environment in New Zealand (Chapters 2-6). The second chapter investigated four years of retrospective data on Campylobacter spp. (n=507) to infer the source, population structure and zoonotic potential of Campylobacter jejuni from six high-use recreational rivers in the Wanganui- Manawatu region of New Zealand through the generalised additive model, generalised linear/logistic regression model, and minimum spanning trees. This study highlights the ubiquitous presence of Campylobacter spp. in both low and high river flows, and during winter months. It also shows the presence of C. jejuni in 21% of samples containing highly diverse strains, the majority of which were associated with wild birds only. These wild birds-associated C. jejuni have not been detected in human, suggesting they may not be infectious to human. However, the presence of some poultry and ruminant-associated strains that are potentially zoonotic suggested the possibility of waterborne transmission of C. jejuni to the public. Good biosecurity measures and water treatment plants may be helpful in reducing the risk of waterborne Campylobacter transmission In the third study, a repeated cross-sectional study was conducted every month for four months to investigate the source of drinking source-water contamination. A total of 499 ruminant faecal samples and 24 river/stream water samples were collected from two rural town water catchments (Dannevirke and Shannon) in the Manawatu- Wanganui region of New Zealand, and molecular analysis of those samples was performed to determine the occurrence of Campylobacter, Cryptosporidium, and Giardia spp. and their zoonotic potential. The major pathogens found in faecal samples were Campylobacter (n=225 from 7/8 farms), followed by Giardia (n=151 from 8/8 farms), whereas Giardia cysts were found in many water samples (n=18), followed by Campylobacter (n=4). On the contrary, Cryptosporidium oocysts were only detected in a few faecal (n=18) and water (n=3) samples. Cryptosporidium and Giardia spp. were detected in a higher number of faecal samples from young animals (≤ 3 months) than juvenile and adult animals, whereas Campylobacter spp. were highly isolated in the faecal samples from juvenile and adult ruminants. PCRsequencing of the detected pathogens indicated the presence of potentially zoonotic C. jejuni and C. coli, Cryptosporidium parvum (gp60 allelic types IIA18G3R1 and IIA19G4R1) and Giardia duodenalis (assemblages AII, BII, BIII, and BIV) in cattle and sheep. In addition, potentially zoonotic C. jejuni and Giardia duodenalis assemblages AII, BI, BII, and BIV were also determined in water samples. These findings indicate that these three pathogens of public health significance are present in ruminant faecal samples of farms and in water, and may represent a possible source of human infection in New Zealand. In the fourth study, PCR-sequencing of Cryptosporidium spp. isolates obtained from the faeces of 6-week- old dairy calves (n=15) in the third study were investigated at multiple loci (18S SSU rDNA, HSP70, Actin and gp60) to determine the presence of mixed Cryptosporidium spp. infections. Cryptosporidium parvum (15/15), C. bovis (3/15) and C. andersoni (1/15), and two new genetic variants were determined along with molecular evidence of mixed infections in five specimens. Three main Cryptosporidium species of cattle, C. parvum, C. bovis and C. andersoni, were detected together in one specimen. Genetic evidence of the presence of C. Anderson and two new Cryptosporidium genetic variants are provided here for the first time in New Zealand. These findings provided additional evidence that describes Cryptosporidium parasites as genetically heterogeneous populations and highlighted the need for iterative genotyping at multiple loci to explore the genetic makeup of the isolates. The C. jejuni and C. coli isolates (n=96) obtained from cattle, sheep and water in the third study were subtyped to determine their genetic diversity and zoonotic potential using a modified, novel multi-locus sequence typing method (“massMLST”; Chapter 5). Primers were developed and optimised, PCR-based target-MLST alleles’ amplification were performed, followed by next generation sequencing on an Illumina MiSeq machine. A bioinformatics pipeline of the sequencing data was developed to define C. jejuni and C. coli multi-locus sequence types. This study demonstrated the utility and potential of this novel typing method, massMLST, as a strain typing method. In addition to identifying the possible C. jejuni/coli clonal complexes or sequence types of 68/96 isolates from ruminant faeces and water samples, this study reported three new C. jejuni strains in cattle in New Zealand, along with many strains, such as CC-61, CC-828 and CC-21, that have also been found in humans, indicating the public health significance of these isolates circulating on the farms in the two water catchment areas. Automation of the massMLST method and may allow a cost-effective high-resolution typing method in the near future for multilocus sequence typing of large collections of Campylobacter strains. In the final study (Chapter 6), a pilot metagenomic study was carried out to obtain a snapshot of the microbial ecology of surface water used in the two rural towns of New Zealand for drinking purposes, and to identify the zoonotic pathogens related to waterborne diseases. Fresh samples collected in 2011 and 2012, samples from the same time that were frozen, and samples that were kept in the preservative RNAlater were sequenced using whole-genome shotgun sequencing on an Illumina MiSeq machine. Proteobacteria was detected in all the samples characterised, although there were differences in the genus and species between the samples. The microbial diversity reported varied between the grab and stomacher methods, between samples collected in the year 2011 and 2012, and among the fresh, frozen and RNAlater preserved samples. This study also determined the presence of DNA of potentially zoonotic pathogens such as Cryptosporidium, Campylobacter and Mycobacterium spp. in water. Use of metagenomics could potentially be used to monitor the ecology of drinking water sources so that effective water treatment plans can be formulated, and for reducing the risk of waterborne zoonosis. As a whole, this PhD project provides new data on G. duodenalis assemblages in cattle, sheep and surface water, new information on mixed Cryptosporidium infections in calves, a novel “massMLST” method to subtype Campylobacter species, and shows the utility of shotgun metagenomic sequencing for drinking water monitoring. Results indicate that ruminants (cattle and sheep) in New Zealand shed potentially zoonotic pathogens in the environment and may contribute to the contamination of surface water. A better understanding of waterborne zoonotic transmission would help in devising appropriate control strategies, which could reduce the shedding of Campylobacter, Cryptosporidium, and Giardia spp. in the environment and thereby reduce waterborne transmission

How Students Are Making It: Perspectives on Getting Through College From Recent Graduates of the Boston Public Schools

Analyzes public high school graduates' college experiences by level of academic success, including the role of self-management skills, academic advising, and contextual issues related to family, employment, and financial pressures. Makes recommendations

Charter Schools and the Road to College Readiness: The Effects on College Preparation, Attendance and Choice

The analysis here focuses on Boston's charter high schools. For the purpose of this report, an analysis of high schools is both a necessity and a virtue. It is necessary to study high schools because most students applying to charters in earlier grades are not yet old enough to generate data on postsecondary outcomes. Charter high schools are also of substantial policy interest: a growing body of research argues that high school may be too late for cost-effective human capital interventions. Indeed, impact analyses of interventions for urban youth have mostly generated disappointing results.This report is interested in ascertaining whether charter schools, which in Massachusetts are largely budget-neutral, can have a substantial impact on the life course of affected students. The set of schools studied here comes from an earlier investigation of the effects of charter attendance in Boston on test scores.The high schools from the earlier study, which enroll the bulk of charter high school students in Boston, generate statistically and socially significant gains on state assessments in the 10th grade. This report questions whether these gains are sustained