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Reductive group schemes, the Greenberg functor, and associated algebraic groups (2012)
Journal Article
Stasinski, A. (2012). Reductive group schemes, the Greenberg functor, and associated algebraic groups. Journal of Pure and Applied Algebra, 216(5), 1092-1101. https://doi.org/10.1016/j.jpaa.2011.10.027

Let AA be an Artinian local ring with algebraically closed residue field kk, and let View the MathML sourceG be an affine smooth group scheme over AA. The Greenberg functor FF associates to View the MathML sourceG a linear algebraic group View the Ma... Read More about Reductive group schemes, the Greenberg functor, and associated algebraic groups.

Magnetothermal instability in laser plasmas including hydrodynamic effects (2012)
Journal Article
Bissell, J., Kingham, R., & Ridgers, C. (2012). Magnetothermal instability in laser plasmas including hydrodynamic effects. Physics of Plasmas, 19(5), Article 052107. https://doi.org/10.1063/1.4718639

The impact of both density gradients and hydrodynamics on the evolution of the field compressing magnetothermal instability is considered [J. J. Bissell et al., Phys. Rev. Lett. 105, 175001 (2010)]. Hydrodynamic motion is found to have a limited effe... Read More about Magnetothermal instability in laser plasmas including hydrodynamic effects.

Broken baby Skyrmions (2012)
Journal Article
Jäykkä, J., Speight, M., & Sutcliffe, P. (2012). Broken baby Skyrmions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468(2140), 1085-1104. https://doi.org/10.1098/rspa.2011.0543

The baby Skyrme model is a (2+1)-dimensional analogue of the Skyrme model, in which baryons are described by topological solitons. We introduce a version of the baby Skyrme model in which the global O(3) symmetry is broken to the dihedral group DN. I... Read More about Broken baby Skyrmions.

Sharp trace inequalities for fractional Laplacians (2012)
Journal Article
Einav, A., & Loss, M. (2012). Sharp trace inequalities for fractional Laplacians. Proceedings of the American Mathematical Society, 140(12), https://doi.org/10.1090/s0002-9939-2012-11380-2

The sharp trace inequality of José Escobar is extended to traces for the fractional Laplacian on Rn, and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb’s sharp form of the Hardy-L... Read More about Sharp trace inequalities for fractional Laplacians.

Proton Opacity in the Light of LHC Diffractive Data. (2012)
Journal Article
Ryskin, M., Martin, A., & Khoze, V. (2012). Proton Opacity in the Light of LHC Diffractive Data. The European Physical Journal C, 72, Article 1937. https://doi.org/10.1140/epjc/s10052-012-1937-x

We show that collider data on elastic pp (and pp¯pp¯ ) scattering, including the LHC TOTEM data at 7 TeV, can be well described by a 3-channel eikonal model with only one Pomeron, with parameters that are naturally linked to the perturbative QCD (BFK... Read More about Proton Opacity in the Light of LHC Diffractive Data..

Skew-symmetric cluster algebras of finite mutation type (2012)
Journal Article
Felikson, A., Shapiro, M., & Tumarkin, P. (2012). Skew-symmetric cluster algebras of finite mutation type. Journal of the European Mathematical Society, 14(4), 1135-1180. https://doi.org/10.4171/jems/329

In the famous paper [FZ2] Fomin and Zelevinsky obtained Cartan-Killing type classification of all cluster algebras of finite type, i.e. cluster algebras having only finitely many distinct cluster variables. A wider class of cluster algebras is formed... Read More about Skew-symmetric cluster algebras of finite mutation type.

Riemannian submersions from simple, compact Lie groups (2012)
Journal Article
Kerin, M., & Shankar, K. (2012). Riemannian submersions from simple, compact Lie groups. Münster journal of mathematics (Internet), 5(1), 25-40

In this paper we construct infinitely many examples of a Riemannian submersion from a simple, compact Lie group G with bi-invariant metric onto a smooth manifold that cannot be a quotient of G by a group action. This partially addresses a question of... Read More about Riemannian submersions from simple, compact Lie groups.

A note on Gornik's perturbation of Khovanov-Rozansky homology (2012)
Journal Article
Lobb, A. (2012). A note on Gornik's perturbation of Khovanov-Rozansky homology. Algebraic & geometric topology, 12(1), 293-305. https://doi.org/10.2140/agt.2012.12.293

We show that the information contained in the associated graded vector space to Gornik’s version of Khovanov–Rozansky knot homology is equivalent to a single even integer sn(K). Furthermore we show that sn is a homomorphism from the smooth knot conco... Read More about A note on Gornik's perturbation of Khovanov-Rozansky homology.

Lagrangian coherent structures in photospheric flows and their implications for coronal magnetic structure (2012)
Journal Article
Yeates, A., Hornig, G., & Welsch, B. (2012). Lagrangian coherent structures in photospheric flows and their implications for coronal magnetic structure. Astronomy & Astrophysics, 539, https://doi.org/10.1051/0004-6361/201118278

Aims. We show how the build-up of magnetic gradients in the Sun’s corona may be inferred directly from photospheric velocity data. This enables computation of magnetic connectivity measures such as the squashing factor without recourse to magnetic fi... Read More about Lagrangian coherent structures in photospheric flows and their implications for coronal magnetic structure.