Congratulations to James who won the award from the American Mathematical Society for work with Jack Thorne (University of Cambridge). The citation praises "their astonishing proof of a landmark, sought-after case of the Langlands Conjectures: namely the symmetric power functoriality for holomorphic modular forms".

Genentech, part of Roche (the second largest pharmaceutical company in the world) have a postdoctoral position using artificial intelligence in drug development involving neuralODEs.

More details here or contact Yixuan Sun (@email); for more information.

Tue, 15 Nov 2022

12:30 - 13:00
C3

A Hele-Shaw Newton's cradle and Reciprocity in Fluids

Daniel Booth and Matthew Cotton
Abstract

A Hele-Shaw Newton's cradle: Circular bubbles in a Hele-Shaw channel. (Daniel Booth)

We present a model for the motion of approximately circular bubbles in a Hele-Shaw cell. The bubble velocity is determined by a balance between the hydrodynamic pressures from the external flow and the drag due to the thin films above and below the bubble. We find that the qualitative behaviour depends on a dimensionless parameter and is found to agree well with experimental observations.  Furthermore, we show how the effects of interaction with cell boundaries and/or other bubbles also depend on the value of this dimensionless parameter For example, in a train of three identical bubbles travelling along the centre line, the middle bubble either catches up with the one in front or is caught by the one behind, forming what we term a Hele-Shaw Newton's cradle.
 

Reciprocity in Fluids (Matthew Cotton)

Reciprocity is a useful, and often underused, way to calculate integrated quantities when a to solution to a related problem is known. In the remaining time, I will overview these ideas and give some example use cases

The Newton Gateway to Mathematics is pleased to be working with the United Kingdom Health Security Agency (UKHSA), who are seeking 7 PhD Students with strong backgrounds in data analysis, statistics, mathematics, biological sciences, or social research, to join their Early Career Researcher (ECR) programme as ECR Analysts - Advanced Epidemiological Modellers, for 3 months.

In 2010 it was Paul the Octopus. But in 2022 it's Josh the Mathematician.

Watch Oxford Mathematics' Joshua Bull, winner of 2020 Fantasy Football from eight million entries you may remember, make his World Cup predictions via the video below and keep an eye on our social media for regular predictions of games starting with Monday's match up between England and Iran.

Fluid-boundary interaction: confinement effects, stratification and transport - Roberto Camassa (University of North Carolina)

Today, 4 pm, Lecture Theatre 1

The Mathematical Institute, University of Oxford, is seeking to appoint a Departmental Lecturer in Applied Mathematics. The appointment will be in collaboration with Christ Church, and is full time for a fixed period until 31st March 2025. The department anticipates a starting date of 1st April 2023 or as soon as possible thereafter. 

Fri, 18 Nov 2022
10:00
L6

Developing a method for testing the reactivity of silicon carbide (SiC) and silicon monoxide (SiO(g))

Harry Reynolds
(Elkem)

Note: we would recommend to join the meeting using the Teams client for best user experience.

Abstract

Elkem is developing a new method for categorising the reactivity between silicon carbide (SiC) powder and silicon monoxide gas (SiO(g)). Experiments have been designed which pass SiO gas through a powdered bed of SiC inside of a heated crucible, resulting in a reaction between the two. The SiO gas is produced via a secondary reaction outside of the SiC bed. Both reactions require specific temperature and pressure constraints to occur. Therefore, we would like to mathematically model the temperature distribution and gas flow within the experimental set-up to provide insight into how we can control the process.

 

Complexities arise from:

  • Endothermic reactions causing heat sinks
  • Competing reactions beyond the two we desire
  • Dynamically changing properties of the bed, such as permeability
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