# 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.

*Pierre L'Ecuyer - Universite de Montreal, Canada*

Randomized quasi-Monte Carlo (RQMC) is commonly used to estimate the mathematical expectation of a random variable expressed as an integral over the $s$-dimensional unit cube $(0, 1)^s$. Under...

*Terry Gannon - University of Alberta*

40 years ago John Mckay noticed that 196884=196883+1, and Monstrous Moonshine was born. In 1998 Borcherds won a Fields Medal primarily for his work explaining McKay's equation. 5 years ago string...

*Minh-Ngoc Tran - University of Sydney*

Deep neural networks (DNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions...

*Gunther Uhlmann - University of Washington*

Inverse problems arise in all fields of science and technology where causes for a desired or observed effect are to be determined. By solving an inverse problem is in fact how we obtain a large part...

*Thomas Gobet - University of Sydney*

The Iwahori-Hecke algebra of the symmetric group is a central object in representation theory and low-dimensional topology. While it is naturally related to reductive groups, it can be defined...

*Andrew Hone - University of Kent*

The appearance of primes in a family of linear recurrence sequences labelled by a positive integer $n$ is considered. The terms of each sequence correspond to a particular class of Lehmer numbers, or...

*Marley Young - UNSW*

We consider the problem of when the first $n$ iterates of a given rational function over an arbitrary field are multiplicatively independent. This leads to a generalisation of a method of Gao (1999)...

*Stephan Baier - RKM Vivekananda University, India*

The large sieve inequality is of fundamental importance in analytic number theory. Its theory started with Linnik's investigation of the least quadratic non-residue modulo primes on average. These...

*Michael Reynolds - UNSW*

This talk will focus on some web based software being developed to generate examples, check conjectures and allow experimentation and visualisation of Geometry over Finite Fields (and other Fields)
...

*Stephen Doty - Loyola University Chicago*

The Drinfeld-Jimbo definition of a quantised enveloping algebra by generators and relations is a $q$-analogue of Serre's presentation of a semisimple Lie algebra. The most complicated relations in...