The partial differential equations and analysis seminar is the research seminar associated with the applied and nonlinear analysis, and the analysis and geometry programs.

We develop the theory of delta characters of Anderson modules.

I am going to discuss the evolution of compact convex curves in two-dimensional space forms under an inverse curvature type flow, first proposed by Brendle, Guan and Li.

In this talk for International Women’s Day Associate Professor Rowena Ball shall pay her respects to the Seven Sisters of the night sky, by talking the audience along a journey through maths and science songlines of cultures and histories.

Consider families of circular means where the radii are restricted to a given subset of a compact interval. One is interested in the $L^p$ improving estimates for the associated maximal operators and related objects.

We discuss the rationale behind our proposed techniques, convergence in expectation and complexity guarantees for our algorithms, and the results of preliminary numerical experiments that we have performed.

We will introduce the probabilistic notion of strong convergence, discuss the basics of rough path theory, discover how we can acquire pathwise estimates of RSSDEs, and learn how these pieces fit together to establish convergence.

This workshop is directed at undergraduates, PhD students and young researchers in Australia, New Zealand and around the world. Registration is required.

The aim of these lectures is to answer the question: What do we really mean by "spaces", and what do we want to do with them?