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A classification of the division algebras that are isotopic to a cyclic Galois field extension (2025)
Journal Article
PUMPLUEN, S. (in press). A classification of the division algebras that are isotopic to a cyclic Galois field extension. Israel Journal of Mathematics,

We classify all division algebras that are principal Albert isotopes of a cyclic Galois field extension of degree n>2 up to isomorphisms.
We achieve a ``tight'' classification when the cyclic Galois field extension is cubic. The classification is... Read More about A classification of the division algebras that are isotopic to a cyclic Galois field extension.

Pure connection formalism and Plebanski’s second heavenly equation (2025)
Journal Article
Krasnov, K., & Lipstein, A. (2025). Pure connection formalism and Plebanski’s second heavenly equation. Journal of High Energy Physics, 2025(3), Article 152. https://doi.org/10.1007/jhep03%282025%29152

Plebanski’s second heavenly equation reduces the problem of finding a self-dual Einstein metric to solving a non-linear second-order PDE for a single function. Plebanski’s original equation is for self-dual metrics obtained as perturbations of the fl... Read More about Pure connection formalism and Plebanski’s second heavenly equation.

Comparative judgement modelling to map forced marriage at local levels (2025)
Journal Article
Seymour, R., Nyarko-Agyei, A., McCabe, H., Severn, K., Sirl, D., Kypraios, T., & Taylor, A. (2025). Comparative judgement modelling to map forced marriage at local levels. Annals of Applied Statistics, 19(1), 419-439. https://doi.org/10.1214/24-AOAS1966

Forcing someone into marriage against their will is a violation of their human rights. In 2021, the county of Nottinghamshire, UK, launched a strategy to tackle forced marriage and violence against women and girls. We set out to map the risk of force... Read More about Comparative judgement modelling to map forced marriage at local levels.

Parameter inference for stochastic reaction models of ion channel gating from whole-cell voltage-clamp data (2025)
Journal Article
Del Core, L., & Mirams, G. R. (2025). Parameter inference for stochastic reaction models of ion channel gating from whole-cell voltage-clamp data. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2292), https://doi.org/10.1098/rsta.2024.0224

Mathematical models of ion channel gating describe the changes in ion channel configurations due to the electrical activity of the cell membrane. Experimental findings suggest that ion channels behave randomly, and therefore stochastic models of ion... Read More about Parameter inference for stochastic reaction models of ion channel gating from whole-cell voltage-clamp data.

Evaluating the predictive accuracy of ion-channel models using data from multiple experimental designs (2025)
Journal Article
Shuttleworth, J. G., Lei, C. L., Windley, M. J., Hill, A. P., Preston, S. P., & Mirams, G. R. (2025). Evaluating the predictive accuracy of ion-channel models using data from multiple experimental designs. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2292), Article 20240211. https://doi.org/10.1098/rsta.2024.0211

Mathematical models are increasingly being relied upon to provide quantitatively accurate predictions of cardiac electrophysiology. Many such models concern the behaviour of particular subcellular components (namely, ion channels) which, together, al... Read More about Evaluating the predictive accuracy of ion-channel models using data from multiple experimental designs.

Optimizing experimental designs for model selection of ion channel drug-binding mechanisms (2025)
Journal Article
Patten-Elliott, F., Lei, C. L., Preston, S. P., Wilkinson, R. D., & Mirams, G. R. (2025). Optimizing experimental designs for model selection of ion channel drug-binding mechanisms. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2292), https://doi.org/10.1098/rsta.2024.0227

The rapid delayed rectifier current carried by the human Ether-à-go-go-Related Gene (hERG) channel is susceptible to drug-induced reduction, which can lead to an increased risk of cardiac arrhythmia. Establishing the mechanism by which a specific dru... Read More about Optimizing experimental designs for model selection of ion channel drug-binding mechanisms.

On the torsion of a shaft made of polar isotropic or fibre-reinforced linearly elastic material (2025)
Journal Article
Soldatos, K. (2025). On the torsion of a shaft made of polar isotropic or fibre-reinforced linearly elastic material. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865251315696

The fundamental solution of the linear elasticity problem of a non-polar isotropic shaft subjected to an externally applied torsional couple is extended to embrace effects of structural behaviour observed when the shaft is made of either polar isotro... Read More about On the torsion of a shaft made of polar isotropic or fibre-reinforced linearly elastic material.

Substitutions on compact alphabets (2025)
Journal Article
Mañibo, N., Rust, D., & Walton, J. J. (2025). Substitutions on compact alphabets. Journal of the London Mathematical Society, 111(3), Article e70123. https://doi.org/10.1112/jlms.70123

We develop a systematic approach to continuous substitutions on compact Haus-dorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts. W... Read More about Substitutions on compact alphabets.

Real-time inference for binary neutron star mergers using machine learning (2025)
Journal Article
Dax, M., R. Green, S., Gair, J., Gupte, N., Pürrer, M., Raymond, V., Wildberger, J., Macke, J. H., Buonanno, A., & Schölkopf, B. (2025). Real-time inference for binary neutron star mergers using machine learning. Nature, 639(8053), 49-53. https://doi.org/10.1038/s41586-025-08593-z

Mergers of binary neutron stars emit signals in both the gravitational-wave (GW) and electromagnetic spectra. Famously, the 2017 multi-messenger observation of GW170817 (refs. 1,2) led to scientific discoveries across cosmology3, nuclear physics4,5,6... Read More about Real-time inference for binary neutron star mergers using machine learning.

Kerr metric from two commuting complex structures (2025)
Journal Article
Krasnov, K., & Shaw, A. (2025). Kerr metric from two commuting complex structures. Classical and Quantum Gravity, 42(6), Article 065013. https://doi.org/10.1088/1361-6382/adb531

The main aim of this paper is to simplify and popularise the construction from the 2013 paper by Apostolov, Calderbank, and Gauduchon, which (among other things) derives the Pleba´nskiPleba´nski-Demia´nskiDemia´nski family of solutions of GR using id... Read More about Kerr metric from two commuting complex structures.