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On K-moduli of quartic threefolds (2025)
Journal Article
Abban, H., Cheltsov, I., Kasprzyk, A., Liu, Y., & Petracci, A. (2025). On K-moduli of quartic threefolds. Algebraic Geometry, 12(3), 382-417. https://doi.org/10.14231/AG-2025-011

The family of smooth Fano 3-folds with Picard rank 1 and anticanonical volume 4 consists of quartic 3-folds and of double covers of the 3-dimensional quadric branched along an octic surface. They can all be parametrised as complete intersections of a... Read More about On K-moduli of quartic threefolds.

On p-refined Friedberg–Jacquet integrals and the classical symplectic locus in the GL 2n eigenvariety (2025)
Journal Article
Barrera Salazar, D., Graham, A., & Williams, C. (2025). On p-refined Friedberg–Jacquet integrals and the classical symplectic locus in the GL 2n eigenvariety. Research in Number Theory, 11(2), Article 51. https://doi.org/10.1007/s40993-025-00631-z

Friedberg–Jacquet proved that if π is a cuspidal automorphic representation of GL2n(A), then π is a functorial transfer from GSpin2n+1 if and only if a global zeta integral ZH over H=GLn×GLn is non-vanishing on π. We conjecture a p-refined analogue:... Read More about On p-refined Friedberg–Jacquet integrals and the classical symplectic locus in the GL 2n eigenvariety.

The START (STrAtegies for RelaTives) Intervention for Family Carers of People With Dementia: Evaluation, Statistical Challenges and Impact (2025)
Book Chapter
Barber, J. A., O’Keeffe, A. G., & Livingston, G. (2025). The START (STrAtegies for RelaTives) Intervention for Family Carers of People With Dementia: Evaluation, Statistical Challenges and Impact. In P. J. Aston (Ed.), More UK Success Stories in Industrial Mathematics (113-119). Springer. https://doi.org/10.1007/978-3-031-48683-8_15

The STrAtegies for RelaTives (START) intervention is a psychological therapy to reduce anxiety and depression in family carers of people with dementia living in the community. It was developed and evaluated, using a randomised controlled trial, by a... Read More about The START (STrAtegies for RelaTives) Intervention for Family Carers of People With Dementia: Evaluation, Statistical Challenges and Impact.

CRAC channel activity pulsates during cytosolic Ca2+ oscillations (2025)
Journal Article
Lin, Y.-P., Scappini, E., Mirams, G. R., Tucker, C. J., & Parekh, A. B. (2025). CRAC channel activity pulsates during cytosolic Ca2+ oscillations. Journal of Biological Chemistry, 301(6), Article 108519. https://doi.org/10.1016/j.jbc.2025.108519

Intracellular Ca2+ ions are used as second messengers throughout the phylogenetic tree. They are indispensable for diverse biological processes ranging from fertilization to cell death. In Metazoans, signaling information is conveyed via the amplitud... Read More about CRAC channel activity pulsates during cytosolic Ca2+ oscillations.

Using Mathematical Models of Heart Cells to Assess the Safety of New Pharmaceutical Drugs (2025)
Book Chapter
Mirams, G. R. (2025). Using Mathematical Models of Heart Cells to Assess the Safety of New Pharmaceutical Drugs. In P. J. Aston (Ed.), More UK Success Stories in Industrial Mathematics (171-177). Springer. https://doi.org/10.1007/978-3-031-48683-8_22

Many drugs have been withdrawn from the market worldwide, at a cost of billions of dollars, because of patient fatalities due to drugs unexpectedly disturbing heart rhythm. Even drugs for ailments as mild as hay fever have been withdrawn due to an un... Read More about Using Mathematical Models of Heart Cells to Assess the Safety of New Pharmaceutical Drugs.

Uncertainty mapping and probabilistic tractography using Simulation-based Inference in diffusion MRI: A comparison with classical Bayes (2025)
Journal Article
Manzano-Patron, J., Deistler, M., Schröder, C., Kypraios, T., Gonçalves, P. J., Macke, J. H., & Sotiropoulos, S. N. (2025). Uncertainty mapping and probabilistic tractography using Simulation-based Inference in diffusion MRI: A comparison with classical Bayes. Medical Image Analysis, 103, Article 103580. https://doi.org/10.1016/j.media.2025.103580

Simulation-Based Inference (SBI) has recently emerged as a powerful framework for Bayesian inference: Neural networks are trained on simulations from a forward model, and learn to rapidly estimate posterior distributions. We here present an SBI frame... Read More about Uncertainty mapping and probabilistic tractography using Simulation-based Inference in diffusion MRI: A comparison with classical Bayes.

Modelling the vibrational response of structures to high-frequency turbulent boundary layer excitation (2025)
Journal Article
Finn, J., Tanner, G., & Richter, M. (2025). Modelling the vibrational response of structures to high-frequency turbulent boundary layer excitation. Journal of Sound and Vibration, 611, Article 119097. https://doi.org/10.1016/j.jsv.2025.119097

Modelling the response of complex built-up structures under the influence of distributed and correlated high-frequency force fields is an important aspect in many structural dynamics applications. A prime example of such a forcing is the pressure fie... Read More about Modelling the vibrational response of structures to high-frequency turbulent boundary layer excitation.

On the Balmer spectrum of the Morel-Voevodsky category (2025)
Journal Article
Du, P., & Vishik, A. (2025). On the Balmer spectrum of the Morel-Voevodsky category. Duke Mathematical Journal, 174(6), 1013-1044. https://doi.org/10.1215/00127094-2024-0051

We introduce the Morava-isotropic stable homotopy category and, more generally, the stable homotopy category of an extension E∕k. These “local” versions of the Morel–Voevodsky stable A1-homotopy category SH(k) are analogues of local motivic categorie... Read More about On the Balmer spectrum of the Morel-Voevodsky category.

Pretriangulated 2-representations via dg algebra 1-morphisms (2025)
Journal Article
Laugwitz, R., & Miemietz, V. (in press). Pretriangulated 2-representations via dg algebra 1-morphisms. Documenta Mathematica,

This paper develops a theory of pretriangulated 2-representations of dg 2-categories. We characterize cyclic pretriangulated 2-representations, under certain compactness assumptions, in terms of dg modules over dg algebra 1-morphisms internal to asso... Read More about Pretriangulated 2-representations via dg algebra 1-morphisms.

An introduction to p-adic L-functions (2025)
Journal Article
Rodrigues Jacinto, J., & Williams, C. (2025). An introduction to p-adic L-functions. Essential Number Theory, 4(1), 101–216. https://doi.org/10.2140/ent.2025.4.101

These expository notes introduce p-adic L-functions and the foundations of Iwasawa theory. We focus on Kubota Leopoldt's p-adic analogue of the Riemann zeta function, which we describe in three di erent ways. We rst present a measure-theoretic (anal... Read More about An introduction to p-adic L-functions.