Canada/USA Mathcamp is looking for math graduate students as leaders for its summer 2026 session.
When: June 23rd, 2026 to August 7th, 2026
Where: Champlain College, Burlington, Vermont
Compensation: $6,600 plus room, board, travel, and other work-related expenses
Application Deadline: February 11th, 2026
A likelihood-based Bayesian inference framework for the calibration of and selection between stochastic velocity-jump models
Ceccarelli, A
Browning, A
Chaiamarit, T
Davis, I
Baker, R
Journal of the Royal Society Interface
A multilevel hierarchical framework for quantification of experimental heterogeneity
Warne, D
Zhu, X
Steele, T
Johnston, S
Sisson, S
Faria, M
Murphy, R
Browning, A
(23 Dec 2025)
The Ellis–Baldwin test
Secrest, N
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
volume 383
issue 2290
(13 Feb 2025)
Anisotropy in the cosmic acceleration inferred from supernovae
Rameez, M
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
volume 383
issue 2290
(13 Feb 2025)
Classification of finite depth objects in bicommutant categories via anchored planar algebras
Henriques, A
Penneys, D
Tener, J
Communications in Mathematical Physics
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.