Seminar Archive - 2013

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome. A complete list of past seminars can be accessed via the left-hand menu.

Akshay Venkatesh - Stanford University
I will discuss some models of what a "random abelian group" is, and some conjectures (the Cohen-Lenstra heuristics of the title) about how they show up in number theory.  I'll then discuss the...

Andreas Prohl - Tuebingen
I discuss the convergence analysis for space-time discretizations of three nonlinear SPDEs: the stochastic Navier-Stokes equation, the stochastic Allen-Cahn equation, and the stochastic mean...

Robert Bryant - Duke University
Given a closed, convex curve C in the plane, a billiard path on C is a polygon P inscribed in C such that, at each vertex v of P, the two edges of P incident with v make equal angles with the tangent...

Gery Geenens - University of New South Wales
Kernel estimation of a probability density function supported on the unit interval has proved difficult, because of the well known boundary bias issues a conventional kernel density estimator would...

Georgia Tsambos - UNSW
In this talk, I will explain how the long-term behaviour of discrete dynamical systems can be studied with the help of the Frobenius-Perron operator. This operator describes how distributions change...

Jason Ng - UNSW
Given an integer a, we wish to know for which prime integers p the congruence x^2 = a mod p is solvable. An important tool for analysing this is the law of quadratic reciprocity. Gauss was not only...

Xiaodong Cao - Cornell University
In this talk, we will first give a quick introduction to the Ricci flow. Then we will focus on some recent development on two special solutions: Einstein manifolds and gradient Ricci solitons, we...

Timothy Siu - Honours student, UNSW
General dynamical systems do not necessarily have closed-form solutions. An exception are linear systems, whose dynamics acting on the Cartesian plane can be solved exactly. However, linear maps...

Alec Gilbert - Honours student, UNSW
In this talk we look at the long-term behaviour of a continuous time dynamical system (flow) by studying how probability densities vary with time. The main object of interest is the infinitesimal...

Erika Degens - Honours student, UNSW
TBA

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