# Seminar Archive - 2019

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.

Prof. Ben Bolker - McMaster University
West Nile virus (WNV), a mosquito-borne bird virus, drives changes in bird communities and spills over to cause disease in humans and horses. Here we use WNV as a model system for synthesizing...

Andrew Hone - University of Kent
Three-term linear recurrences are a central part of the theory of continued fractions, in the description of convergents, as well as being a feature of orthogonal polynomials. In this talk we...

Matteo Bordignon - UNSW Canberra
The aim of this talk is to improve the upper bound for the exceptional zeroes of Dirichlet L-functions. We do this by improving on explicit estimates for $L'(\sigma,\chi)$ for $\sigma$ close to unity.

Andrew Eberhard - RMIT
When restricted to a subspace, a nonsmooth function can be differentiable. This can be characterised for convex functions via a decomposition of the subdifferential giving rise to two subspaces: the...

A new method of construction of algebro-geometric solutions of  Schlesinger systems is presented. For an elliptic curve represented as a ramified double covering of CP^1, a meromorphic differential...

Dhruv Mubayi - University of Illinois at Chicago
After a brief introduction to classical hypergraph Ramsey numbers, I will focus on the following problem. What is the minimum $t$ such that there exist arbitrarily large $k$-uniform hypergraphs...

Sergey Dolgov - University of Bath, UK
Uncertainty quantification and inverse problems in many variables are pressingly needed tasks, yet high-dimensional functions are notoriously difficult to integrate in order to compute desired ...

Kam Hung Yau - University of New South Wales
The Goldbach conjecture states that all even integer greater than 2 is a sum of two primes. Currently we do not have sufficient tools to prove this conjecture but we can obtain the following...

Jonathan Spreer - University of Sydney
Triangulating manifolds, i.e., decomposing them into a finite number of simple pieces, enables us to computationally tackle topological problems in geometric topology. Representing a given...

Prof N J Wildberger - UNSW Sydney
With Felix Klein's historic Erlangen address of 1872, the crucial role of group theory as a unifying and classifying force in geometry assumed centre stage. Klein was able to show how projective,...