# Seminar Archive - 2021

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.

In the field of arithmetic dynamics, we are interested in classifying points in a number field K depending on their orbit, that is, how they behave under repeated application of a given rational...

Peter Bradshaw, Ian Doust, Ray Li - Peter Bradshaw (University of Bristol), Ian Doust (UNSW), Ray Li (University of Cambridge)
The goal of this information session is to give some insight into the application process for PhD positions in Australia and overseas. Applying for PhD programs is a complex process, from finding the...

Jason Atnip - UNSW Sydney
In this talk we will consider a collection of piecewise monotone interval maps, which we iterate randomly, together with a collection of holes placed randomly throughout phase space. Birkhoff’s...

Jules Lamers - University of Melbourne
I will introduce the landscape of quantum-integrable long-range spin chains and the associated (quantum-)algebraic structures, and describe recent advances and open problems in the field. Since their...

Lachlan MacDonald - University of Adelaide
Chern-Weil theory describes a procedure for constructing the characteristic classes of a smooth manifold from geometric data (such as a Riemannian metric). In the 1970s and 1980s, Chern-Weil theory...

Jiayi Li - UNSW Sydney
In 1984 Vaughan Jones discovered a polynomial knot invariant that is now called the Jones polynomial. This talk will explore the process of obtaining polynomial knot invariants from Markov traces on...

Matthew Kwan - IST Austria
Resolving a conjecture of Füredi, we prove that almost every n-vertex graph admits a partition of its vertex set into two parts of equal size in which almost all vertices have more neighbours on...

Colin Reid - University of Newcastle
Actions on trees are ubiquitous in group theory.  The standard approach to describing them is known as Bass–Serre theory, which presents the group acting on the tree as assembled from its vertex and...

Nina Kamčev - University of Zagreb
A linear system $L$ over $\mathbb{F}_q$ is common if the number of monochromatic solutions to $L=0$ in any two-colouring of $\mathbb{F}_q^n$ is asymptotically at least the expected number of...

Deniz Stiegemann - University of Queensland
Almost all algebraic structure in common use have some sort of associative binary operation ("multiplication"), but we don't always require there to exist all, or even any, inverses with respect to...