Spectra, current flow, and wave-function morphology in a model<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric quantum dot with external interactions
Tellander, F
Berggren, K
Physical Review A
volume 95
issue 4
(12 Apr 2017)
We're looking for feedback about ideas we have for Mathematrix events in 2025-26. Mathematrix is our student-led discussion group aimed at graduate and postdoc minorities in maths. We'd also love feedback and insight from allies and people at all career stages/roles within the Mathematical Institute.
The form is multiple choice only/checkbox questions so it will be very quick to answer and is completely anonymous.
The Institute for Advanced Mathematics is offering part-time work working online with talented secondary school students. The Institute focuses on mathematical research and publication - students retrace the historical breakthroughs that have shaped mathematics.
QUANTUM EXPANDERS AND QUANTIFIER REDUCTION FOR TRACIAL VON NEUMANN ALGEBRAS
Farah, I
Jekel, D
Pi, J
The Journal of Symbolic Logic
1-31
(04 Jul 2025)
Cycling is a sport where victory often hinges on marginal gains. In elite races like the Tour de France, while power output and aerodynamics are well-known performance factors another crucial, but less visible, element is risk. A crash, even if minor, can end a rider’s race. Can mathematics help optimise racing strategies in a world where both energy and safety must be balanced?
Three Oxford Mathematicians have won London Mathematical Society (LMS) Prizes for 2025. Nigel Hitchin has won the De Morgan Medal, Helen Byrne has won the Naylor Prize and Lectureship in Applied Mathematics and Vidit Nanda has won a Whitehead Prize.
Tue, 02 Sep 2025
15:00
15:00
L4
On a classification of steady solutions to two-dimensional Euler equations
Changfeng Gui
(University of Macau)
Abstract
In this talk, I shall provide a classification of steady solutions to two-dimensional incompressible Euler equations in terms of the set of flow angles. The first main result asserts that the set of flow angles of any bounded steady flow in the whole plane must be the whole circle unless the flow is a parallel shear flow. In an infinitely long horizontal strip or the upper half-plane supplemented with slip boundary conditions, besides the two types of flows appeared in the whole space case, there exists an additional class of steady flows for which the set of flow angles is either the upper or lower closed semicircles. This type of flows is proved to be the class of non-shear flows that have the least total curvature. A further classification of this type of solutions will also be discussed. As consequences, we obtain Liouville-type theorems for two-dimensional semilinear elliptic equations with only bounded and measurable nonlinearity, and the structural stability of shear flows whose all stagnation points are not inflection points, including Poiseuille flow as a special case. Our proof relies on the analysis of some quantities related to the curvature of the streamlines.
This talk is based on joint works with David Ruiz, Chunjing Xie and Huan Xu.
A consultation on the University’s REF 2029 Code of Practice will run from early July to mid-September. As part of the consultation, Research Services are holding a series of events, opportunities to find out more about REF, ask questions and provide feedback.
Monday 21 July, 10-11am – Online information session