Jordan-Holder Theorem for profinite groups and applications
Bar-On, T Nikolov, N (12 Mar 2025)
Algorithmic Shadow Spectroscopy
Chan, H Meister, R Goh, M Koczor, B PRX Quantum volume 6 issue 1 010352 (17 Mar 2025)

Josh Bull has mathematics on his mind all the time, even at the kitchen sink. 

Our latest 'Maths in everyday life' film.

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GAN:: A Generative Model for Arbitrage-Free Implied Volatility Surfaces
Vuletić, M Cont, R Applied Mathematical Finance 1-36 (06 Mar 2025)
Fast and slow optimal trading with exogenous information.
Cont, R Finance and Stochastics (19 Mar 2025)

Book your place on our tour starting in the Radcliffe Science Library and going on to the Old Bodleian and Radcliffe Camera. Learn a little about the history of the library and visit locations such as the famous Duke Humfrey's Library. A great opportunity to explore Oxford and meet fellow postdocss.

Editor's note: If you are at a loose end, I'd recommend it as the Duke Humfrey's (pictured) is one of the great places in Oxford.

24 March, 11.00-12.00

Hierarchical mechanical patterns in morphogenesis: from mollusc shells to plants, fungi and animals
Moulton, D Goriely, A Chirat, R Journal of the Royal Society Interface
Fri, 21 Mar 2025
12:00
L5

Positive geometries and canonical forms via mixed Hodge theory

Francis Brown
(Oxford)
Abstract

''Positive geometries'' are a class of semi-algebraic domains which admit a unique ''canonical form'': a logarithmic form whose residues match the boundary structure of the domain. The study of such geometries is motivated by recent progress in particle physics, where the corresponding canonical forms are interpreted as the integrands of scattering amplitudes. We recast these concepts in the language of mixed Hodge theory, and identify ''genus zero pairs'' of complex algebraic varieties as a natural and general framework for the study of positive geometries and their canonical forms. In this framework, we prove some basic properties of canonical forms which have previously been proved or conjectured in the literature. We give many examples and study in detail the case of arrangements of hyperplanes and convex polytopes.

[arXiv:2501.03202]

Neuronal activity and amyloid-β cause tau seeding in the entorhinal cortex in Alzheimer’s disease
Alexandersen, C Bassett, D Goriely, A Chaggar, P Initiative, T
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