In this case study I report on a collaboration with Mo Dick Wong (Durham University), in the area of analytic and probabilistic number theory. We studied questions on a random model for the Möbius $\mu$ function. This function is one of the most elusive functions in number theory, and encodes deep questions on primes. Let's define it properly.
Tropical functions on a skeleton
Ducros, A
Hrushovski, E
Loeser, F
Ye, J
Journal de l’École polytechnique — Mathématiques
volume 11
613-654
(24 Jun 2024)
Enhancing Data-Driven Stochastic Control via Bundled Interval MDP
Coppola, R
Peruffo, A
Romao, L
Abate, A
Mazo, M
IEEE Control Systems Letters
volume 8
2069-2074
(01 Jan 2024)
So what have these six things got in common?
They are the subject of Oxford Mathematics postgraduate student theses, displaying how much ground maths can cover. You can watch the six students present their research in just one slide in our 3-Minute Thesis Competition.
Tipping point in ice-sheet grounding-zone melting due to ocean water intrusion
Bradley, A
Hewitt, I
Nature Geoscience
1-7
(25 Jun 2024)
Physique de la morphogenèse des coquilles de mollusques
Moulton, D
Goriely, A
Chirat, R
Reflets de la physique
issue 78
18-23
(25 May 2024)
Hopf algebras in the cohomology of $\mathcal{A}_g$,
$\mathrm{GL}_n(\mathbb{Z})$, and $\mathrm{SL}_n(\mathbb{Z})$
Brown, F
Chan, M
Galatius, S
Payne, S
(19 May 2024)
http://arxiv.org/abs/2405.11528v2
$\mathrm{GL}_n(\mathbb{Z})$, and $\mathrm{SL}_n(\mathbb{Z})$
Construction of Subsurfaces via Good Pants
Liu, Y
Markovic, V
What’s Next?: The Mathematical Legacy of William P. Thurston
233-243
(01 Jan 2020)
Evolution of an epidemic: understanding the opioid epidemic in the United States and the impact of the COVID-19 pandemic on opioid-related mortality
Laing, R
Donnelly, C
PLoS ONE
volume 19
issue 7
(09 Jul 2024)
High-Dimensional Subspace Expansion Using Classical Shadows
Boyd, G
Koczor, B
Cai, Z
(17 Jun 2024)