Mon, 19 Jan 2026

16:30 - 17:30
L4

Towards Computational Topological (Magneto)Hydrodynamics: long term computation of fluids and plasma

Kaibo Hu
((Mathematical Institute University of Oxford))
Abstract
From Kelvin and Helmholtz to Arnold, Khesin, and Moffatt, topology has drawn increased attention in fluid dynamics. Quantities such as helicity and enstrophy encode knotting, topological constraints, and fine structures such as turbulence energy cascades in both fluid and MHD systems. Several open scientific questions, such as corona heating, the generation of magnetic fields in astrophysical objects, and the Parker hypothesis, call for topology-preserving computation. 
 
In this talk, we investigate the role of topology (knots and cohomology) in computational fluid dynamics by two examples: relaxation and dynamo. We investigate the question of “why structure-preservation” in this context and discuss some recent results on topology-preserving numerical analysis and computation. Finite Element Exterior Calculus sheds light on tackling some long-standing challenges and establishing a computational approach for topological (magneto)hydrodynamics.

 
Geometric comparison of phylogenetic trees with different leaf sets
Grindstaff, G Owen, M (11 Jul 2018)
Topological Data Analysis Detects Percolation Thresholds in Arctic Melt-Pond Evolution
Offord, W Coughlan, M Hewitt, I Harrington, H Grindstaff, G (15 Dec 2022)
Mon, 02 Feb 2026
14:15
L4

Non-generic neck pinching in Lagrangian mean curvature flow

Spandan Ghosh
((Mathematical Institute University of Oxford))
Abstract
Lagrangian mean curvature flow (LMCF) is a way to deform a Lagrangian submanifold inside a Calabi--Yau manifold according to the negative gradient of the area functional. There are influential conjectures about LMCF due to Thomas--Yau and Joyce, describing the long-time behaviour and singularities of the flow. By foundational work of Neves, Type I singularities are ruled out under mild assumptions, so it is important to construct examples of Type II singularities with a given blow-up model. In this talk, we describe a general method to construct examples of Lawlor neck pinching in LMCF in complex dimension at least 3. We employ a P.D.E. based approach to solve the problem, as an example of 'parabolic gluing'. The main technical tool we use is the notion of manifolds with corners and a-corners, as introduced by Joyce following earlier work of Melrose. Time permitting, we will discuss how one may construct examples of generic neck pinching.
Thu, 30 Apr 2026

14:00 - 15:00
(This talk is hosted by Rutherford Appleton Laboratory)

Modern tasking approaches to simulate black holes (and other interesting phenomena): How can we make them fit to modern hardware?

Tobias Weinzierl
(Durham University)
Abstract

Speaker Tobias Weinzierl will be talking about: 'Modern tasking approaches to simulate black holes (and other interesting phenomena): How can we make them fit to modern hardware?'

Over the past decade, my team has developed a simulation code for binary black hole mergers that runs on dynamically adaptive Cartesian meshes. 
Its dynamic adaptivity, coupled with multiple numerical schemes operating at different scales and non-deterministic loads from puncture sources, makes task-based parallelisation a natural choice:
Task stealing across fine-grained work units balances the load across many CPU cores, while treating tasks as atomic compute units should---in theory---allow us to deploy seamlessly to accelerators.

In practice, it is far from straightforward.

Fine-grained tasks clash with accelerators, which thrive on large, homogeneous data access patterns;
task bursts on the CPU overwhelm tasking systems and produce suboptimal execution schedules;
and when tasks span address spaces, expensive memory movements kill performance.
Surprisingly, many mainstream tasking frameworks even lack the features our domain demands, i.e. to express key task concepts.


Our application serves as a powerful lens for examining these challenges. 
While our code base extends to other wave phenomena, Lagrangian techniques, and multigrid solvers, they all reveal the same fundamental tension: 
modern hardware increasingly struggles to accommodate modern HPC concepts, and it even challenges the notion that one solution fits all hardware components.

The talk proposes practical workarounds and solutions to these shortcomings, while all solutions are designed, wherever possible, to be upstreamed into mainstream software building blocks or at least decoupled from our particular PDE solver, making them broadly applicable to the community.

 

This talk is hosted by Rutherford Appleton Laboratory and will take place @ Harwell Campus, Didcot, OX11 0QX
 

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Hydrodynamics with multiple charges and holography
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On Certain
<i>C</i>
0-Aspects of Contactomorphism Groups
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The influence of cell phenotype on collective cell invasion into the extracellular matrix
Yin, Y Waters, S Baker, R Bulletin of Mathematical Biology volume 88 issue 1 (26 Dec 2025)
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