# 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...