Thu, 05 Mar 2026

12:00 - 13:00
L3

Driven interfacial hydrodynamics, and some physics-informed machine learning

Stuart Thomson
(University of Bristol)

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Abstract

In this talk I will present a few topics of recent interest that centre around the theme of “driven interfacial hydrodynamics”: fluid mechanical systems in which droplets and particles are self-propelled through interaction with the environment. I will also present some very recent work on using differentiable physics (a branch of physics-informed machine learning) to determine constitutive relations for highly plasticised metals.

This talk will contain elements of fluid dynamics, experimental mechanics, dynamical systems, statistical physics, and machine learning.

 

 

Further Information

Dr Stuart J. Thomson is an applied mathematician whose research sits at the intersection of mathematics, physics, and engineering. He works closely with table-top experiments to uncover how complex fluid and soft-matter systems give rise to novel emergent phenomena through nonlinear dynamics, many-body interactions, and geometric confinement. His interests include interfacial hydrodynamics, self-assembly, active and driven matter, interfacial robotics, transport phenomena, and fluid–structure interaction.

He is currently leading the project “The statistical physics of hydrodynamic random walkers: experiments and theory”, which combines experimental and theoretical approaches to understand how fluid-mediated interactions shape the behaviour of randomly moving microscopic walkers. Dr Thomson is based in the School of Engineering, Mathematics and Technology at the University of Bristol.

Thu, 26 Feb 2026

12:00 - 13:00
L3

Geometrically confined quantum systems

Robert Van Gorder
(University of Otago)

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Abstract

 

You will likely be familiar with the notion of a hydrogen atom, having seen something about its discrete energy levels and orbitals at some point or another. This is an example of a quantum system. In this talk, we explore what transpires when taking a quantum system and placing it into a three-dimensional container having some prescribed geometry. In the limit where the container is large (relative to the natural lengthscale of the quantum system), its influence over the quantum system is negligible; yet, as the container is made small (comparable to the aforementioned lengthscale), geometric information intrinsic to the container plays an important role in determining the energy and orbital structure of the system. We describe how to do (numerically-assisted) perturbation theory in this small-container limit and then match it to the large-box regime, using a combination of these asymptotics and direct simulations to tell the story of geometrically confined quantum systems. Much of our focus will be on linear Schrödinger equations governing single-particle quantum systems; however, time permitting, we will briefly discuss how to do similar things to study geometrically confined nonlinear Schrödinger equations, with geometric confinement of Bose-Einstein condensates being a primary motivation. Geometric confinement of an attractive Bose-Einstein condensate can, for instance, modify the collapse threshold and enhance stability, with the particular choice of confining geometry shifting the boundary of instability, staving off the collapse which is prevalent in three-dimensional attractive condensates.

 

Further Information

Dr Rob Van Gorder’s research focuses on how physical phenomena can be described, predicted, and controlled using applied mathematics. He works across mathematical modelling, analytical and asymptotic methods, and numerical simulation, applying this combination to a wide range of physical systems.

His interests in fluid dynamics centre on fundamental flow structures—such as vortices, bubbles, waves, and boundary layers—and how they evolve, persist, or break apart. He also studies spatial instabilities and pattern formation, investigating how mechanisms such as Turing and Benjamin–Feir instabilities extend to heterogeneous or non-autonomous systems arising in chemistry, physics, biology, and epidemiology.

In theoretical physics, Dr Van Gorder works on quantum mechanics, quantum fluids, and nonlinear waves, including the dynamics of Bose–Einstein condensates, quantised vortices in superfluid helium, and confined quantum systems. Across these areas, he aims to understand how nonlinear and quantum systems behave under realistic constraints and external forcing.

His recent publications include work on pattern formation and diffusive instabilities in Proceedings of the Royal Society A.

Thu, 19 Feb 2026

12:00 - 13:00
L3

(Fiyanshu) Impact of Electrolyte Microstructure on Power Density in Solid-State Batteries: Insights from Phase-Field Modelling. (Moschella) Macroscopic Models for Hard Anisotropic Particles

Dr Fiyanshu Kaka & Carmela Moschella
((Mathematical Institute University of Oxford))

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Abstract
Fiyanshu Kaka

Title:
Impact of Electrolyte Microstructure on Power Density in Solid-State Batteries: Insights from Phase-Field Modelling

Abstract:
This talk presents a mesoscopic modelling framework that links electrolyte microstructure to cell-level performance in solid-state batteries. Using a unified diffuse-interface formulation expressed directly in electrochemical potentials, the approach simulates solid polymer electrolyte blend morphologies and evaluates coupled ionic transport and interfacial kinetics within these microstructures. By embedding the resulting morphologies into full cell-scale electrochemical models, the framework provides quantitative guidance for selecting optimal blend compositions to maximize power density. A central finding is that, beyond microstructure geometry alone, energy-level alignment between electrolyte phases critically shapes effective ionic pathways and rate performance.
 
 
Further Information
Fiyanshu Kaka is a Research Associate in Battery Modelling at the Mathematical Institute, University of Oxford. His research specialises in the mathematical modelling of energy systems, with a focus on bridging the gap between microstructural fidelity and computational efficiency.
 
Fiyanshu's modelling work began at the mesoscopic scale, where he employed phase-field methods to unravel complex process-structure-property relationships. Initially, he applied these microstructure-aware frameworks to photovoltaics, specifically optimising ternary organic solar cells. His focus subsequently shifted to energy storage, where he investigated the morphological dynamics of solid-state batteries and the influence of solid electrolyte microstructures on performance.
 
Currently, he is working on reduced-order models for Li-ion batteries and newer chemistries. By distilling high-fidelity mesoscopic insights into efficient, robust mathematical frameworks, he aims to accelerate the prediction of battery performance and lifespan. Before joining Oxford, Fiyanshu served as an Assistant Professor at the Defence Institute of Advanced Technology, India and holds a PhD in Materials Engineering from the Indian Institute of Science, Bangalore.
Thu, 29 Jan 2026

12:00 - 13:00
L3

Mathematical modelling of sleep-wake regulation: light, clocks and digital-twins

Anne Skeldon
(University of Surrey)
Abstract

 

We all sleep. But what determines when and for how long? In this talk I’ll describe some of the fundamental mechanisms that regulate sleep. I’ll introduce the nonsmooth coupled oscillator systems that form the basis of current mathematical models of sleep-wake regulation and discuss their dynamical behaviour. I will describe how we are using models to unravel environmental, societal and physiological factors that determine sleep timing and outline how constructing digital-twins could enable us to create personalised light interventions for sleep timing disorders.

 

Further Information

Anne Skeldon’s background is in dynamical systems and bifurcation theory. Her early research focused on pattern formation and fluid mechanics, particularly the Faraday wave problem. She later shifted towards applications in biology and sociology, serving as a co-investigator on the six-year complexity-science project Evolution and Resilience of Industrial Ecosystems. She is part of the Mathematics of Life and Social Sciences research group and co-leads the cross-faculty Centre for Mathematical and Computational Biology.

Her current research centres on sleep, circadian rhythms, and data science. She collaborates with researchers at the Surrey Sleep Research Centre to develop and analyse mathematical models of sleep–wake regulation—work that has featured in the UK parliamentary debate, “School should start at 10am because teenagers are too tired.” She has a particular interest in the influence of the light environment on sleep, including the potential effects of permanent daylight saving time, and in the use of mathematical models for fatigue risk management.

Thu, 22 Jan 2026

12:00 - 13:00
L3

Modelling Across Scales and Disciplines: From Fertilization and Embryogenesis to Epidemics

Katerina Kaouri
(Cardiff)
Abstract

I will present an overview of a range of interdisciplinary modelling challenges that I have been working on in collaboration with experimentalists and external partners. I will begin with mathematical modelling of calcium signalling in In-Vitro fertilization (IVF) and embryogenesis, illustrating how multiscale approaches can link molecular dynamics to cellular and developmental outcomes. I will then discuss our ongoing work on modelling viral transmission in indoor environments, carried out in collaboration with architects and policymakers, with the aim of informing evidence-based policy decisions for future epidemics.

 

Further Information

 

Katerina is a Reader in Applied Mathematics and the Director for Impact and Engagement at the Cardiff University School of Mathematics. She holds a DPhil from OCIAM, on sonic boom modelling, funded by the AIRBUS and the EU. Katerina has more recently been working on a range of interdisciplinary challenges mainly stemming from biology and medicine, in collaboration with companies, government and society. She is also the founder and coordinator of the European Study Groups with Industry (modelling workshops) in Cyprus (ESGI125, ESGI146). She has also co-founded the non-profit SciCo Cyprus and the Mediterranean Science Festival and she is a TEDx Speaker and a TED-Ed educator. Furthermore, she has been part of large-scale public engagement projects such as the SciShops.eu project where 18 organisations in 12 EU countries tackled pressing societal challenges through co-creative approaches. During the pandemic she led a modelling team that informed policy decisions of the Welsh Government, in collaboration with Prof. Ian Griffiths (OCIAM); she continues working on epidemic preparedness in collaboration with architects and policymakers. She represents the UK in the Councils of the European Consortium of Mathematics in Industry (ECMI) and of EU-Maths-In and she is a member of the Scientific Advisory Panel of the Newton Gateway. She is the recipient of the 2025 IMA Hedy Lamarr Prize for Knowledge Exchange in Mathematics and Its Applications.

 

Defect Conformal Manifolds from Phantom Noninvertible Symmetries
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Sharp error bounds for approximate eigenvalues and singular values from subspace methods
Nakatsukasa, Y SIAM Journal on Matrix Analysis and Applications
TopROI: A topology-informed network approach for tissue partitioning
Iváñez, S Moore, J Grzesiak, L Mullholand, E Harrington, H Leedham, S Byrne, H (14 Oct 2025)
A new 5-D highly hyperchaotic system with a line equilibrium, its bifurcation analysis, multistability and electronic circuit simulation
Vaidyanathan, S Hannachi, F Moroz, I Mohamed, M Sambas, A Aruna, C Raju, A Archives of Control Sciences 561-585 (30 Sep 2025)
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