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Outputs (219)

Simply-connected manifolds with large homotopy stable classes (2022)
Journal Article
Conway, A., Crowley, D., Powell, M., & Sixt, J. (2023). Simply-connected manifolds with large homotopy stable classes. Journal of the Australian Mathematical Society, 115(2), 172-203. https://doi.org/10.1017/s1446788722000167

For every k ≥ 2 and n ≥ 2 we construct n pairwise homotopically inequivalent simply-connected, closed 4k-dimensional manifolds, all of which are stably diffeomorphic to one another. Each of these manifolds has hyperbolic intersection form and is stab... Read More about Simply-connected manifolds with large homotopy stable classes.

From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients (2022)
Journal Article
Dorey, P., & Polvara, D. (2022). From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients. Journal of High Energy Physics, 2022(9), Article 220. https://doi.org/10.1007/jhep09%282022%29220

Various features of the even order poles appearing in the S-matrices of simply-laced affine Toda field theories are analysed in some detail. In particular, the coefficients of first- and second-order singularities appearing in the Laurent expansion o... Read More about From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients.

A minimal model of elastic instabilities in biological filament bundles (2022)
Journal Article
Panter, J., Kusumaatmaja, H., & Prior, C. (2022). A minimal model of elastic instabilities in biological filament bundles. Journal of the Royal Society. Interface, 19(194), Article 20220287. https://doi.org/10.1098/rsif.2022.0287

We present a model of a system of elastic fibres which exhibits complex, coupled, nonlinear deformations via a connecting elastic spring network. This model can capture physically observed deformations such as global buckling, pinching and internal c... Read More about A minimal model of elastic instabilities in biological filament bundles.

Discussion of signature‐based models of preventive maintenance (2022)
Journal Article
Coolen, F. P., Coolen‐Maturi, T., & van Houtum, G. (2023). Discussion of signature‐based models of preventive maintenance. Applied Stochastic Models in Business and Industry, 39(1), 68-70. https://doi.org/10.1002/asmb.2716

As a contribution to the discussion of the paper An overview of some classical models and discussion of the signature-based models of preventive maintenance,1 we consider the assumption of exchangeability of the failure times of components in systems... Read More about Discussion of signature‐based models of preventive maintenance.

Numerical metrics for complete intersection and Kreuzer–Skarke Calabi–Yau manifolds (2022)
Journal Article
Larfors, M., Lukas, A., Ruehle, F., & Schneider, R. (2022). Numerical metrics for complete intersection and Kreuzer–Skarke Calabi–Yau manifolds. Machine Learning: Science and Technology, 3(3), https://doi.org/10.1088/2632-2153/ac8e4e

We introduce neural networks (NNs) to compute numerical Ricci-flat Calabi–Yau (CY) metrics for complete intersection and Kreuzer–Skarke (KS) CY manifolds at any point in Kähler and complex structure moduli space, and introduce the package cymetric wh... Read More about Numerical metrics for complete intersection and Kreuzer–Skarke Calabi–Yau manifolds.

A calculus for flow categories (2022)
Journal Article
Lobb, A., Orson, P., & Schuetz, D. (2022). A calculus for flow categories. Advances in Mathematics, 409(Part B), Article 108665. https://doi.org/10.1016/j.aim.2022.108665

We describe a calculus of moves for modifying a framed flow category without changing the associated stable homotopy type. We use this calculus to show that if two framed flow categories give rise to the same stable homotopy type of homological width... Read More about A calculus for flow categories.

Anomalies of non-Abelian finite groups via cobordism (2022)
Journal Article
Davighi, J., Gripaios, B., & Lohitsiri, N. (2022). Anomalies of non-Abelian finite groups via cobordism. Journal of High Energy Physics, 2022(9), Article 147. https://doi.org/10.1007/jhep09%282022%29147

We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of ‘anomaly interplay’, which uses functoriality of cobordism and naturality of the η-invariant to relate anomalies in a g... Read More about Anomalies of non-Abelian finite groups via cobordism.

A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics (2022)
Journal Article
Kinnear, G., Jones, I., Sangwin, C., Alarfaj, M., Davies, B., Fearn, S., …Wong, T. (2022). A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics. International Journal of Research in Undergraduate Mathematics Education, https://doi.org/10.1007/s40753-022-00189-6

This paper describes the collaborative development of an agenda for research on e-assessment in undergraduate mathematics. We built on an established approach to develop the agenda from the contributions of 22 mathematics education researchers, unive... Read More about A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics.