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A practical reliability design method considering the compound weight and load-sharing (2020)
Journal Article
Li, Y., Coolen, F., & Zhu, C. (2020). A practical reliability design method considering the compound weight and load-sharing. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 127, 17-32. https://doi.org/10.1016/j.ijar.2020.09.001

Reliability design is an important work in the early design stage of offshore wind turbines. Due to the incomplete considerations and poor feasibility of the drawbacks for existing methods, a set of the practical reliability design method is proposed... Read More about A practical reliability design method considering the compound weight and load-sharing.

Comments on the stability of the KPV state (2020)
Journal Article
Nguyen, N. (2020). Comments on the stability of the KPV state. Journal of High Energy Physics, 2020(11), Article 55. https://doi.org/10.1007/jhep11%282020%29055

Using the blackfold approach, we study the classical stability of the KPV (Kachru-Pearson-Verlinde) state of anti-D3 branes at the tip of the Klebanov-Strassler throat. With regards to generic long-wavelength deformations considered, we found no inst... Read More about Comments on the stability of the KPV state.

Spin structures and baby universes (2020)
Journal Article
Balasubramanian, V., Kar, A., Ross, S. F., & Ugajin, T. (2020). Spin structures and baby universes. Journal of High Energy Physics, 2020(9), Article 192. https://doi.org/10.1007/jhep09%282020%29192

We extend a 2d topological model of the gravitational path integral to include sums over spin structure, corresponding to Neveu-Schwarz (NS) or Ramond (R) boundary conditions for fermions. This path integral corresponds to a correlator of boundary cr... Read More about Spin structures and baby universes.

Eigenvalues of Magnetohydrodynamic Mean-Field Dynamo Models: Bounds and Reliable Computation (2020)
Journal Article
Boegli, S., & Tretter, C. (2020). Eigenvalues of Magnetohydrodynamic Mean-Field Dynamo Models: Bounds and Reliable Computation. SIAM Journal on Applied Mathematics, 80(5), 2194-2225. https://doi.org/10.1137/19m1286359

This paper provides the first comprehensive study of the linear stability of three important magnetohydrodynamic (MHD) mean-field dynamo models in astrophysics, the spherically symmetric $\alpha^2$-model, the $\alpha^2\omega$-model, and the $\alpha\o... Read More about Eigenvalues of Magnetohydrodynamic Mean-Field Dynamo Models: Bounds and Reliable Computation.

Ihara’s Lemma for Shimura curves over totally real fields via patching (2020)
Journal Article
Manning, J., & Shotton, J. (2021). Ihara’s Lemma for Shimura curves over totally real fields via patching. Mathematische Annalen, 379, 187-234. https://doi.org/10.1007/s00208-020-02048-8

We prove Ihara’s lemma for the mod l cohomology of Shimura curves, localized at a maximal ideal of the Hecke algebra, under a large image hypothesis on the associated Galois representation. This was proved by Diamond and Taylor, for Shimura curves ov... Read More about Ihara’s Lemma for Shimura curves over totally real fields via patching.

Algebraicity of special L-values attached to Siegel-Jacobi modular forms (2020)
Journal Article
Bouganis, A., & Marzec, J. (2021). Algebraicity of special L-values attached to Siegel-Jacobi modular forms. manuscripta mathematica, 166(3-4), 359-402. https://doi.org/10.1007/s00229-020-01243-w

n this work we obtain algebraicity results on special L-values attached to Siegel–Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacobi group obtained in our previous work, and on introducing a notion of nea... Read More about Algebraicity of special L-values attached to Siegel-Jacobi modular forms.

Thermosolutal Convection with a Navier–Stokes–Voigt Fluid (2020)
Journal Article
Straughan, B. (2021). Thermosolutal Convection with a Navier–Stokes–Voigt Fluid. Applied Mathematics and Optimization, 84(3), 2587-2599. https://doi.org/10.1007/s00245-020-09719-7

We present a model for convection in a Navier–Stokes–Voigt fluid when the layer is heated from below and simultaneously salted from below, the thermosolutal convection problem. Instability thresholds are calculated for thermal convection with a disso... Read More about Thermosolutal Convection with a Navier–Stokes–Voigt Fluid.

Representations of SL over finite local rings of length two (2020)
Journal Article
Stasinski, A. (2021). Representations of SL over finite local rings of length two. Journal of Algebra, 566, 119-135. https://doi.org/10.1016/j.jalgebra.2020.08.036

Let Fqbe a finite field of characteristic pand let W2(Fq)be the ring of Witt vectors of length two over Fq. We prove that for any integer nsuch that pdivides n, the groups SLn(Fq[t]/t2)and SLn(W2(Fq)) have the same number of irreducible representatio... Read More about Representations of SL over finite local rings of length two.