Outputs (131)

Laurent inversion (2019)
Journal Article
Coates, T., Kasprzyk, A., & Prince, T. (2019). Laurent inversion. Pure and Applied Mathematics Quarterly, 15(4), 1135–1179. https://doi.org/10.4310/PAMQ.2019.v15.n4.a5

We describe a practical and effective method for reconstructing the deformation class of a Fano manifold X from a Laurent polynomial f that corresponds to X under Mirror Symmetry. We explore connections to nef partitions, the smoothing of singular to... Read More about Laurent inversion.

Cell 2-Representations and Categorification at Prime Roots of Unity (2019)
Journal Article
Laugwitz, R., & Miemietz, V. (2020). Cell 2-Representations and Categorification at Prime Roots of Unity. Advances in Mathematics, 361, https://doi.org/10.1016/j.aim.2019.106937

Motivated by recent advances in the categorification of quantum groups at prime roots of unity, we develop a theory of 2-representations for 2- categories, enriched with a p-differential, which satisfy finiteness conditions analogous to those of fini... Read More about Cell 2-Representations and Categorification at Prime Roots of Unity.

The dynamics of quasiregular maps of punctured space (2019)
Journal Article
Nicks, D., & Sixsmith, D. J. (2019). The dynamics of quasiregular maps of punctured space. Indiana University Mathematics Journal, 68(1), 323-352. https://doi.org/10.1512/iumj.2019.68.7556

The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been extended to quasiregular maps in more than two real dimensions. Our goal in this paper is similar; we extend the iteration theory of analytic self-maps... Read More about The dynamics of quasiregular maps of punctured space.

Cheeger-Simons differential characters with compact support and Pontryagin duality (2019)
Journal Article
Becker, C., Benini, M., Schenkel, A., & Szabo, R. J. (2019). Cheeger-Simons differential characters with compact support and Pontryagin duality. Communications in Analysis and Geometry, 27(7), 1473–1522

By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact... Read More about Cheeger-Simons differential characters with compact support and Pontryagin duality.

Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries (2019)
Journal Article
Radjen, A., Gradoni, G., & Tew, R. (2019). Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries. IMA Journal of Applied Mathematics, 84(6), 1203-1219. https://doi.org/10.1093/imamat/hxz029

Reflection and transmission phenomena associated with high-frequency linear wave incidence on irregular boundaries between adjacent acoustic or electromagnetic media, or upon the irregular free surface of a semi-infinite elastic solid, are studied in... Read More about Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries.

Additive twists and a conjecture by Mazur, Rubin and Stein (2019)
Journal Article
Diamantis, N., Hoffstein, J., Kıral, M., & Lee, M. (2020). Additive twists and a conjecture by Mazur, Rubin and Stein. Journal of Number Theory, 209, 1-36. https://doi.org/10.1016/j.jnt.2019.11.016

In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved. To cover levels that are important for elliptic curves, namely those that are not square-free, we establish results about L-functions with... Read More about Additive twists and a conjecture by Mazur, Rubin and Stein.

Rapid characterisation of hERG channel kinetics II: temperature dependence (2019)
Journal Article
Lei, C. L., Clerx, M., Beattie, K. A., Melgari, D., Hancox, J. C., Gavaghan, D. J., …Mirams, G. R. (2019). Rapid characterisation of hERG channel kinetics II: temperature dependence. Biophysical Journal, 117(12), 2455-2470. https://doi.org/10.1101/609719

Ion channel behavior can depend strongly on temperature, with faster kinetics at physiological temperatures leading to considerable changes in currents relative to room temperature. These temperature-dependent changes in voltage-dependent ion channel... Read More about Rapid characterisation of hERG channel kinetics II: temperature dependence.

Invariance and identifiability issues for word embeddings (2019)
Conference Proceeding
Carrington, R., Bharath, K., & Preston, S. (2019). Invariance and identifiability issues for word embeddings. In Advances in Neural Information Processing Systems 32 (NIPS 2019)

Word embeddings are commonly obtained as optimisers of a criterion function f of 1 a text corpus, but assessed on word-task performance using a different evaluation 2 function g of the test data. We contend that a possible source of disparity in 3 pe... Read More about Invariance and identifiability issues for word embeddings.

Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures (2019)
Journal Article
Soldatos, K. P., Aydogdu, M., & Gul, U. (2019). Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures. Journal of Mechanics of Materials and Structures, 14(4), 497-535. https://doi.org/10.2140/jomms.2019.14.497

This study investigates the flexural response of a linearly elastic rectangular strip reinforced in a functionally graded manner by a single family of straight fibres resistant in bending. Fibre bending resistance is associated with the thickness of... Read More about Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures.

Survival dynamical systems: individual-level survival analysis from population-level epidemic models (2019)
Journal Article
KhudaBukhsh, W. R., Choi, B., Kenah, E., & Rempa?a, G. A. (2020). Survival dynamical systems: individual-level survival analysis from population-level epidemic models. Interface Focus, 10(1), Article 20190048. https://doi.org/10.1098/rsfs.2019.0048

In this paper, we show that solutions to ordinary differential equations describing the large-population limits of Markovian stochastic epidemic models can be interpreted as survival or cumulative hazard functions when analysing data on individuals s... Read More about Survival dynamical systems: individual-level survival analysis from population-level epidemic models.