# Seminar Archive - 2018

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.

Peter Donovan - School of Mathematics & Statistics, UNSW
This personal account is an effort to explain some aspects of a distinctive minority characteristic which is  strongly associated with being male and correlates considerably with ability in the...

Peter Donovan - University of New South Wales
A positive integer $a_0$ determines recursively the sequence$a_0,a_1,a_2,\ldots$ by the Collatz rules $a_{n+1}=a_n/2$ for even $n$ and $a_{n+1}=(3a_n+1)$ for$n$ odd.  Massive electronic calculation...

Jens-Dietrich Bauch - Simon Fraser University
Let $A=k[t]$ be the polynomial ring over the perfect field $k$ and $f \in A[x]$ be a monic irreducible separable polynomial. Denote by $F/k$ the function field determined by $f$ and consider a given...

We present a range of new sum-product type estimates in finite fields $\mathbb F_q$, where $q$ is a prime power. We then outline how these estimates lead to explicit bounds on exponential sums over...

Michael Reynolds - UNSW
This talk will carry on from the previous talk and focus on illustrating finite field dynamic geometry, and some specific exact geometric calculations. In particular, a demonstration of dynamic...

Changhao Chen - University of New South Wales
We study Fourier transformation of functions in vector spaces over finite fields. Specially we talk about finite field analogue of restriction problem, a basic problem in harmonic analysis. G....

Associate Professor Amin Chabchoub - University of Sydney
The uni-directional propagation of surface gravity water waves can be described within the framework of weakly nonlinear evolution equations such as the Korteweg-de Vries equation (KdV) in shallow-...

Philippe Thieullen - University of Bordeaux
Hamilton-Jacobi equations are first order PDEs of a special type related to the dynamics of a Hamiltonian flow. Weak KAM theory is a set of tools in dynamical systems that enable us to solve these...

Andy Hone - University of Kent
1) Background and examples of cluster algebras: Somos sequences in number theory; Laurent property; Abel pentagon identity, Lyness map and the dilogarithm; Zamolodchikov Y-systems; Plucker...

David Balding - University of Melbourne
Genetic association studies typically we have up to 10^7 genetic markers and between 10^3 and 10^5 study subjects, and so they often face a “too many predictors” problem requiring further assumptions...