Black Hole Attractors and Pure Spinors

We construct black hole attractor solutions for a wide class of N=2 compactifications. The analysis is carried out in ten dimensions and makes crucial use of pure spinor techniques. This formalism can accommodate non-Kaehler manifolds as well as compactifications with flux, in addition to the usual Calabi-Yau case. At the attractor point, the charges fix the moduli according to sum_k f_k = Im(C Phi), where Phi is a pure spinor of odd (even) chirality in IIB (A). For IIB on a Calabi-Yau, Phi=Omega and the equation reduces to the usual one. Methods in generalized complex geometry can be used to study solutions to the attractor equation.Comment: 26 page

Discrete Geometry and Covering Problems

This thesis explores several problems in discrete geometry, focusing on covering problems. We first go over some well known results, explaining Keith Ball\u27s solution to the symmetric Tarski plank problem, as well as results of Alon and F\ uredi on covering all but vertices of a cube with hyperplanes. The former extensively utilizes techniques from matrix analysis, and the latter applies polynomial method. We state and explore the related problem, asking for the number of parallel hyperplanes required to cover a given discrete set of points in $\mathbb{Z}^{d}$ whose entries are bounded, and prove that there exist sets which are ``difficult\u27\u27 to cover in every dimension for entries whose absolute values are bounded by~1 using a similar polynomial-based approach

Comparison of excitatory synapses in diverse cortical areas of the mouse and monkey

Diversity in excitatory synaptic transmission by cortical pyramidal neurons give rise to the possibility of different neuronal networks that mediate distinct cortical function. Understanding heterogeneity of excitatory input to pyramidal neurons across distinct cortical areas and species will provide insight into cortical specialization and, ultimately, selective vulnerability of cortical areas to neuropathology in humans. In a previous study in our laboratory (Medalla and Luebke, 2015), significant differences in the ultrastructural features of excitatory asymmetric synapses in layers 2-3 (L2-3) neuropil were found between two distinct cortical areas in the rhesus monkey – primary sensory visual (V1) versus higher-order lateral prefrontal (LPFC) cortices. Here, we used serial sectioning electron microscopy to determine whether these differences in synaptic elements also exist in the corresponding visual (V1) and frontal (FC) cortices in the mouse. Multiple analyses of L2-3 neuropil of FC and V1 in mouse revealed three fundamental principles. First, in contrast to the diverse synapses in monkey LPFC and V1, asymmetric axospinous synapses in L2-3 neuropil of mouse FC and V1 are remarkably homogenous with regard to presynaptic and postsynaptic entities. Second, asymmetric axospinous synapses in L2-3 neuropil of mouse V1 resemble that of monkey V1 in postsynaptic entities, but differ in presynaptic entity. Third, asymmetric axospinous synapses in L2-3 neuropil of mouse FC and monkey LPFC differ substantially in both presynaptic and postsynaptic entities. These findings have broad implications for extrapolation of excitatory synaptic transmission data from one cortical area to another, and also from one species to another

A Critical Review of the US State Department's 2015 Progress Report on Haiti

This review, published jointly by the Center for Economic and Policy Research and the Haiti Advocacy Working Group, looks at the US State Department's annual reports on US assistance to Haiti mandated under the 2014 Assessing Progress in Haiti Act. The review analyzes the various components of the reports and identifies significant omissions and deficiencies, including incomplete data, a failure to link projects and outcomes, and a failure to adequately identify mistakes and lessons learned.In addition, the review shares feedback from Haitian civil society groups and makes recommendations on how the US Agency for International Development and the State Department can improve future progress reports

Hypofractionated SBRT versus conventionally fractionated EBRT for prostate cancer: comparison of PSA slope and nadir.

BackgroundPatients with early stage prostate cancer have a variety of curative radiotherapy options, including conventionally-fractionated external beam radiotherapy (CF-EBRT) and hypofractionated stereotactic body radiotherapy (SBRT). Although results of CF-EBRT are well known, the use of SBRT for prostate cancer is a more recent development, and long-term follow-up is not yet available. However, rapid post-treatment PSA decline and low PSA nadir have been linked to improved clinical outcomes. The purpose of this study was to compare the PSA kinetics between CF-EBRT and SBRT in newly diagnosed localized prostate cancer.Materials/methods75 patients with low to low-intermediate risk prostate cancer (T1-T2; GS 3 + 3, PSA < 20 or 3 + 4, PSA < 15) treated without hormones with CF-EBRT (>70.2 Gy, <76 Gy) to the prostate only, were identified from a prospectively collected cohort of patients treated at the University of California, San Francisco (1997-2012). Patients were excluded if they failed therapy by the Phoenix definition or had less than 1 year of follow-up or <3 PSAs. 43 patients who were treated with SBRT to the prostate to 38 Gy in 4 daily fractions also met the same criteria. PSA nadir and rate of change in PSA over time (slope) were calculated from the completion of RT to 1, 2 and 3 years post-RT.ResultsThe median PSA nadir and slope for CF-EBRT was 1.00, 0.72 and 0.60 ng/ml and -0.09, -0.04, -0.02 ng/ml/month, respectively, for durations of 1, 2 and 3 years post RT. Similarly, for SBRT, the median PSA nadirs and slopes were 0.70, 0.40, 0.24 ng and -0.09, -0.06, -0.05 ng/ml/month, respectively. The PSA slope for SBRT was greater than CF-EBRT (p < 0.05) at 2 and 3 years following RT, although similar during the first year. Similarly, PSA nadir was significantly lower for SBRT when compared to EBRT for years 2 and 3 (p < 0.005).ConclusionPatients treated with SBRT experienced a lower PSA nadir and greater rate of decline in PSA 2 and 3 years following completion of RT than with CF-EBRT, consistent with delivery of a higher bioequivalent dose. Although follow-up for SBRT is limited, the improved PSA kinetics over CF-EBRT are promising for improved biochemical control