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In this work we investigate partition models, the subset of log-linear models for which one can perform the iterative proportional scaling (IPS) algorithm to numerically compute the maximum likelihood estimate (MLE). Partition models include families of models such as hierarchical models and balanced, stratified staged trees. We define a sufficient condition, called the Generalized Running Intersection Property (GRIP), on the matrix representation of a partition model under which IPS algorithm produces the exact MLE in one cycle. Additionally we connect the GRIP to the toric fiber product and to previous results for hierarchical models and balanced, stratified staged trees. This leads to a characterization of balanced, stratified staged trees in terms of the GRIP., Comment: 41 pages, 8 figures

Geometric features, robust to noise, of curves in Euclidean space are of great interest for various applications such as machine learning and image analysis. We apply the Fels-Olver's moving frame method (for geometric features) paired with the log-signature transform (for robust features) to construct a set of integral invariants under rigid motions for curves in $\mathbb{R}^d$ from the iterated-integral signature. In particular we show that one can algorithmically construct a set of invariants that characterize the equivalence class of the truncated iterated-integrals signature under orthogonal transformations which yields a characterization of a curve in $\mathbb{R}^d$ under rigid motions (and tree-like extensions) and an explicit method to compare curves up to these transformations., 37 pages, 4 figures

Lung infections with Mycobacterium abscessus, a species of multidrug-resistant nontuberculous mycobacteria, are emerging as an important global threat to individuals with cystic fibrosis (CF), in whom M. abscessus accelerates inflammatory lung damage, leading to increased morbidity and mortality. Previously, M. abscessus was thought to be independently acquired by susceptible individuals from the environment. However, using whole-genome analysis of a global collection of clinical isolates, we show that the majority of M. abscessus infections are acquired through transmission, potentially via fomites and aerosols, of recently emerged dominant circulating clones that have spread globally. We demonstrate that these clones are associated with worse clinical outcomes, show increased virulence in cell-based and mouse infection models, and thus represent an urgent international infection challenge.

We show there are precisely 15 inhomogeneous biquotients of the form $Sp(3)// Sp(1)^2$ and show that at least 8 of them admit metrics of quasi-positive curvature., Comment: Final version. To appear in Ann. Glob. Anal. and Geo

A collection of folklore and local history stories from Ráth Morgáin (school) (Rathmorgan, Co. Mayo), collected as part of the Schools' Folklore Scheme, 1937-1938 under the supervision of teacher Bean Uí Cholmáin., Domhnall an Ghleanna / Aindriú, Micheál Mac -- Guesses -- Abhainn Mhór / Aindriú, Micheál Mac -- Gleann / Aindriú, Micheál Mac -- Old Story -- Seanscéal / Aindriú, Micheál Mac -- Seanscéal / Aindriú, Micheál Mac -- Cures / Aindriú, Micheál Mac -- Pisreoga / Aindriú, Micheál Mac -- When a Person Dies / Aindriú, Micheál Mac -- Sayings about the Time and about the Weather / Aindriú, Micheál Mac -- Scéal Ráth Mhorgáin / Aindriú, Eibhlín Nic -- Feilm Sheáin Mhic Aindriú / Aindriú, Eibhlín Nic -- When a Person Dies / Aindriú, Eibhlín Nic -- Mo Cheantar Féin / Aindriú, Eibhlín Nic -- Seanscéal / Aindriú, Eibhlín Nic -- Seanphaidreacha / Aindriú, Eibhlín Nic -- Paidir / Ghallchobhair, Nóra Ní -- Kiltane / Ghallchobhair, Nóra Ní -- Irishman / Aindriú, Eibhlín Nic -- How they Used to Make Linen Long Ago / Aindriú, Eibhlín Nic -- Composition - Marriages in this District / Aindriú, Eibhlín Nic -- Cures / Aindriú, Eibhlín Nic -- Composition - The Sort of Bread the People Used to Eat Long Ago / Aindriú, Eibhlín Nic -- How the People Used to Grind Their Corn Long Ago / Aindriú, Eibhlín Nic -- Occupations Long Ago / Gaughan, Mary -- Chaoi a mDéanfaidís Cliabh / Ghallchobhair, Nóra Ní -- Poor Scholars / Gháchain, Máire Ní -- How they Used to Dye Wool Long Ago / Ruddy, Michael -- Story / Conroy, Jack -- Mar a Fuair Muigh na gCon an tAinm / Ruddy, Michael -- Long Ago / Andrew, Eileen Mac -- Long Ago / Andrew, Eileen Mac -- Long Ago / Andrew, Eileen Mac -- Cill Teán / Aindriú, Eibhlín Nic -- Cnoc a Loghadh / Aindriú, Eibhlín Nic -- Old Story / Ruddy, Michael -- Dean Swift and His Boy / Andrew, Mary Mc, Supported by funding from the Department of Arts, Heritage and the Gaeltacht (Ireland), University College Dublin, and the National Folklore Foundation (Fondúireacht Bhéaloideas Éireann), 2014-2016.

Lung infections with Mycobacterium abscessus, a species of multidrug resistant nontuberculous mycobacteria, are emerging as an important global threat to individuals with cystic fibrosis (CF) where they accelerate inflammatory lung damage leading to increased morbidity and mortality. Previously, M. abscessus was thought to be independently acquired by susceptible individuals from the environment. However, using whole genome analysis of a global collection of clinical isolates, we show that the majority of M. abscessus infections are acquired through transmission, potentially via fomites and aerosols, of recently emerged dominant circulating clones that have spread globally. We demonstrate that these clones are associated with worse clinical outcomes, show increased virulence in cell-based and mouse infection models, and thus represent an urgent international infection challenge.

This thesis explores how people who have experienced cancer construct themselves in talk of their experience of the illness. Semi structured interviews with six adults who had completed cancer treatment and were considered to be cancer free or in remission were analysed using a discursive psychological approach. Cancer has been characterised as being both an acute and chronic illness. The sequelae of treatment and uncertainty over possible recurrence of the disease mean that there is not a discrete point at which one ceases to be a cancer patient. As such the challenges to identities that may arise following a cancer diagnosis can be considered different to those that may arise following other serious illnesses. Cancer also carries with it cultural associations about the culpability of the patient for their illness, as well as a number of culturally legitimate narratives that are centred around metaphors of heroic battles or journeys of self discovery. Previous research has suggested that disparity between the identity challenges being faced by the individual with cancer and the identities into which others may altercast them into can result in cancer patients and survivors not receiving the support that they need. The analysis revealed that a consistent feature of the accounts was maintaining continuity between pre- and postcancer identities. Where post cancer changes were acknowledged these were assimilated into pre-cancer identities. Contrary to some previous research none of the participants oriented to the identity of being a cancer survivor. This finding is discussed in relation to methodological differences between the current and previous research and in relation the identity concerns present the participants' talk. I also discuss the constraints that discourses of austerity politics place on the identities available to cancer survivors who find themselves unable to work following treatment.