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Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p (2016)
Journal Article
Shotton, J. (2016). Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p. Algebra & Number Theory, 10(7), 1437-1475. https://doi.org/10.2140/ant.2016.10.1437

We compute the deformation rings of two dimensional mod l rep- resentations of Gal(F/F) with fixed inertial type, for l an odd prime, p a prime distinct from l, and F/Qp a finite extension. We show that in this set- ting an analogue of the Breuil–M´e... Read More about Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p.

Uncertainty of fast biological radiation dose assessment for emergency response scenarios (2016)
Journal Article
Ainsbury, E. A., Higueras, M., Puig, P., Einbeck, J., Samaga, D., Barquinero, J. F., …Woda, C. (2017). Uncertainty of fast biological radiation dose assessment for emergency response scenarios. International Journal of Radiation Biology, 93(1), 127-135. https://doi.org/10.1080/09553002.2016.1227106

Purpose: Reliable dose estimation is an important factor in appropriate dosimetric triage categorization of exposed individuals to support radiation emergency response. Materials and Methods: Following work done under the EU FP7 MULTIBIODOSE and RENE... Read More about Uncertainty of fast biological radiation dose assessment for emergency response scenarios.

Groups of automorphisms of local fields of period p^M and nilpotent class < p (2016)
Journal Article
Abrashkin, V. (2017). Groups of automorphisms of local fields of period p^M and nilpotent class < p. Annales de l'Institut Fourier, 67(2), 605-635. https://doi.org/10.5802/aif.3093

Suppose K is a finite field extension of Qp containing a pM-th primitive root of unity. For 1 6 s < p denote by K[s, M] the maximal p-extension of K with the Galois group of period pM and nilpotent class s. We apply the nilpotent Artin–Schreier theor... Read More about Groups of automorphisms of local fields of period p^M and nilpotent class < p.

Thermodynamics of Accelerating Black Holes (2016)
Journal Article
Appels, M., Gregory, R., & Kubizňák, D. (2016). Thermodynamics of Accelerating Black Holes. Physical Review Letters, 117(13), Article 131303. https://doi.org/10.1103/physrevlett.117.131303

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the event hori... Read More about Thermodynamics of Accelerating Black Holes.

Topological M-strings and supergroup Wess-Zumino-Witten models (2016)
Journal Article
Okazaki, T., & Smith, D. J. (2016). Topological M-strings and supergroup Wess-Zumino-Witten models. Physical Review D, 94(6), Article 065016. https://doi.org/10.1103/physrevd.94.065016

We study the boundary conditions in topologically twisted Chern-Simons matter theories with the Lie 3-algebraic structure. We find that the supersymmetric boundary conditions and the gauge-invariant boundary conditions can be unified as complexified... Read More about Topological M-strings and supergroup Wess-Zumino-Witten models.

Resistive tearing instability in electron MHD: application to neutron star crusts (2016)
Journal Article
Gourgouliatos, K. N., & Hollerbach, R. (2016). Resistive tearing instability in electron MHD: application to neutron star crusts. Monthly Notices of the Royal Astronomical Society, 463(3), 3381-3389. https://doi.org/10.1093/mnras/stw2309

We study a resistive tearing instability developing in a system evolving through the combined effect of Hall drift in the electron magnetohydrodynamic limit and Ohmic dissipation. We explore first the exponential growth of the instability in the line... Read More about Resistive tearing instability in electron MHD: application to neutron star crusts.

Three-group ROC predictive analysis for ordinal outcomes (2016)
Journal Article
Coolen-Maturi, T. (2016). Three-group ROC predictive analysis for ordinal outcomes. Communications in Statistics - Theory and Methods, 46(19), 9476--9493. https://doi.org/10.1080/03610926.2016.1212074

Measuring the accuracy of diagnostic tests is crucial in many application areas including medicine, machine learning and credit scoring. The receiver operating characteristic (ROC) surface is a useful tool to assess the ability of a diagnostic test t... Read More about Three-group ROC predictive analysis for ordinal outcomes.

An Inhomogeneous Jarník type theorem for planar curves (2016)
Journal Article
Badziahin, D., Harrap, S., & Hussain, M. (2017). An Inhomogeneous Jarník type theorem for planar curves. Mathematical Proceedings of the Cambridge Philosophical Society, 163(1), 47-70. https://doi.org/10.1017/s0305004116000712

In metric Diophantine approximation there are classically four main classes of approximations: simultaneous and dual for both homogeneous and inhomogeneous settings. The well known measure-theoretic theorems of Khintchine and Jarník are fundamental t... Read More about An Inhomogeneous Jarník type theorem for planar curves.