Workshop on Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications and the 15th Oxbridge PDE Conference

We warmly invite you to join us for the upcoming Joint Event of the International Workshop, taking place from Monday 16 to Friday 20 March 2026. This joint one-week PDE event comprises the Workshop on Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications (on Monday–Thursday) and the 15th Oxbridge PDE Conference (on Thursday–Friday).

The conference will take place at Pembroke College. 

The vertex sets of subtrees of a tree
 Chudnovsky, M Nguyen, T Scott, A Seymour, P Electronic Journal of Combinatorics
Dataset of Noise distributions, dynamics of a cytokine network in human inflammatory bowel disease: determining the regulation of Il-23 signalling
 Medina, S (01 Jan 2026)
Tue, 09 Jun 2026
14:00
L6

TBC

Kieran Calvert
(University of Lancaster)
Abstract

to follow

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Song of the Week: Black Box Recorder - The Facts of Life

Black Box Recorder made three albums in the late 1990s and early 2000s and then went off 'do other things'. Then social media got interested when Billie Eilish posted videos of herself listening to their first song, 'Child Psychology'. So Black Box have decided to reform. Smart move.

This song captures their deadbeat feel. Their collection of 'B' sides was called 'the Worst of Black Box Recorder'. You get the picture.

SANOS Smooth Arbitrage-free Non-parametric Option Surfaces (presentation)
 Buehler, H Horvath, B Kratsios, A Limmer, Y Saqur, R (2026)
Thu, 21 May 2026
16:00
Lecture Room 4

TBA

Netan Dogra
(King's College London)
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Tue, 12 May 2026
15:30
L4

A generalization of elliptic curves to higher dimensions

Valery Alexeev
(University of Georgia)
Abstract
Of course, there are many generalizations of elliptic curves. The one we consider here is a certain class of n-dimensional Calabi-Yau hypersurfaces in a weighted projective space, naturally associated with the Sylvester sequence $2,3,7,43,...,s_n$. The moduli space of such hypersurfaces is a weighted projective space itself. The case of $n=1$ for the Sylvester numbers 2,3 is the familiar case of elliptic curves in the Weierstrass form, and its compactified moduli space is the weighted projective line $P(4,6)$. 
 
For any n, we prove that the moduli space of pairs $(X,D)$ of such Calabi-Yau hypersurfaces $X$ augmented with a hyperplane $D$ at infinity is a connected component of the KSBA moduli space of stable pairs. A side result is a generalization of the theory of elliptic surfaces to higher dimensions. Based on https://arxiv.org/abs/2511.16562.
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