Monodromy for some rank two Galois representations over CM fields

We investigate local-global compatibility for cuspidal automorphic representations $\pi$ for GL(2) over CM fields that are regular algebraic of weight $0$. We prove that for a Dirichlet density one set of primes $l$ and any $\iota : \overline{\mathbf{Q}}_l \cong \mathbf{C}$, the $l$-adic Galois representation attached to $\pi$ and $\iota$ has nontrivial monodromy at any $v \nmid l$ in $F$ at which $\pi$ is special.Comment: 15 page

Automorphy lifting for residually reducible-adic Galois representations, II

We revisit the paper [Automorphy lifting for residually reducible$l$-adic Galois representations, J. Amer. Math. Soc. 28 (2015), 785–870] by the third author. We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary number of irreducible constituents.This work was partially conducted during the period that J.T. served as a Clay Research Fellow. J.T.’s work received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 714405). J.T. would like to thank Lue Pan for pointing out an error in [Tho15], which is addressed here in §3.1 below. P.A. was supported by Simons Foundation Collaboration Grant 527275 and NSF grant DMS- 1902155

Small volume laboratory on a chip measurements incorporating the quartz crystal microbalance to measure the viscosity-density product of room temperature ionic liquids

A microfluidic glass chip system incorporating a quartz crystal microbalance (QCM) to measure the square root of the viscosity-density product of room temperature ionic liquids (RTILs) is presented. The QCM covers a central recess on a glass chip, with a seal formed by tightly clamping from above outside the sensing region. The change in resonant frequency of the QCM allows for the determination of the square root viscosity-density product of RTILs to a limit of ∼ 10 kg m−2 s−0.5. This method has reduced the sample size needed for characterization from 1.5 ml to only 30 μl and allows the measurement to be made in an enclosed system

Automorphy lifting for residually reducible ll-adic Galois representations, II

We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary number of irreducible constituents.Comment: Accepted versio

Lessons Learned from Developing a New Distance-Learning Masters Course in the Green Economy

It is widely recognised that for the green economy to develop successfully, new educational curricula will be required to help professionals develop appropriate knowledge and skills. Relatively few university courses have been developed to date that explicitly focus on the green economy, reflecting its recent origins. Here we present the lessons learned from developing and implementing a new Masters course in the green economy, at Bournemouth University in the UK. The most significant challenges were institutional barriers, such as different departmental policies and procedures and decentralised budget strategies, which inhibited the cross-departmental collaboration desired for interdisciplinarity. Uncertainty about the future development of the green economy and its value as a concept, among both teaching staff and prospective students, presented a further challenge. In addition, the development of an appropriate curriculum for green economy courses has received little attention previously. Here, we present an overview of the curriculum developed for this Masters-level course, and, based on our experience, we demonstrate how the challenges in developing such a course can successfully be overcome

Resin Infiltration Therapy: A Micro-Invasive Approach to Treat White Spot Lesions in Dentistry

Esthetic dentistry is on the rise and new treatments are evolving for treating white spot lesions. Resin infiltration is a micro-invasive procedure used to treat demineralized white spot lesions on the enamel surface. This technique involves placing a low viscosity resin with the active ingredient, triethylene glycol dimethacrylate (TEGDMA) on the lesion. Resin infiltration aids in protecting the enamel from further demineralization while preserving its natural appearance. Resin infiltration with TEGDMA penetrates the hypomineralized enamel, masks the white spot lesion, and decreases the visible differences between the white spot lesion and sound enamel. This treatment was previously used to treat interproximal incipient carious lesions; however, it is now being marketed for esthetic purposes. Studies have found that resin infiltration using TEGDMA is effective in treating mild to moderate fluorosis and white spot lesions that may be seen post orthodontic treatment. For example, an in-vitro study by Subramaniam et al. shows resin infiltration’s ability to occlude enamel micro-porosities and mask white spot lesions. Furthermore, in 2019, Garg, et al. analyzed three cases of mild to moderate fluorosis treated with resin infiltration using TEGDMA. In this study, 18 fluorosed spots were measured using visual assessment with digital photographs, a colorimeter and spectrophotometer at different stages. Results of this study showed that 78% (n=14) of the fluorosed lesions treated with resin infiltration using TEGDMA demonstrated a significant improvement (p<0.001) indicating successful masking of demineralized areas. Resin infiltration provides a micro-invasive treatment for masking white spot lesions, which has the ability to bridge the gap between preventive and restorative therapy

Comparison of regulatory regions in the mitochondrial genomes of grasses

Abstract only availableRegulation of transcription in plant mitochondria is not well understood. The recent sequencing of the mitochondrial genomes of 10 closely related grasses allowed a comparative analysis of regulatory regions. To look for conserved regions and potential “swapped” regulatory regions, we have performed a comparative analysis of the upstream and downstream regions of all of the protein-coding genes in the mitochondrial genomes of eleven grasses: five mitochondrial types of maize (two fertile and three cytoplasmic male sterile), three other taxa within the genus (Zea mays ssp. parviglumis, Z. luxurians, Z. perennis), two close relatives (Tripsacum dactyloides, Sorghum bicolor), and an outgroup, rice. These genomes contain an average of 35 protein-coding genes, composed of 40 transcriptional units. Our analyses examined 1000 base pairs (bp) upstream of the first exon of each transcriptional unit and 1000 bp downstream of its last exon. The reference genome was NB, the most common fertile maize mitochondrial genotype. Compared with the genes from NB, more than half of the mitochondrial genes in the other genomes contain sequences that flank different genes in NB; we refer to these as “swapped” regions. More than 25% of the translocated sequences are longer than 100 bp, and 21 are greater than 500 bp. The longer sequences are more likely to have a regulatory function. In addition, some of these regions were found multiple times: 12 of the translocated gene-flanking regions were found flanking five or more other genes; four had sequences that were flanking ten or more. Furthermore, in Z. luxurians, Z. perennis and T. dactyloides, the co-transcribed 18S and 5S ribosomal RNA genes have been translocated immediately upstream of the start of cox1, with the 5S rRNA 3' end only 80 bp from the start of cox1 exon 1. This is a position that is difficult to rectify with the divergent transcriptional needs of the two types of genes.Plant Genomics Internship @ M

Investigation of the Relationship Between Job-satisfaction and Social Interaction for Professors of Educational Administration

Higher Educatio