Full Seminar Archive

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome. This page has a complete list of past seminars and a list restricted by year can be accessed via the left-hand menu.

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...

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...

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...

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...

Caroline Turnage-Butterbaugh - Duke University
The Riemann zeta-function is a ubiquitous, yet mysterious, function in number theory. The importance of its so-called nontrivial zeros stems from the relationship between the location of these zeros...

Vinoth Nandakumar - University of Sydney
The irreducible representations of the general linear Lie algebra in positive characteristic are not well-understood. Lusztig's conjectures, now a theorem of Bezrukavnikov-Mirkovic, describe their...

Bryce Kerr - University of New South Wales
This talk concerns some recent results joint with Igor Shparlinski and Kam Hung Yau regarding estimates for multiplicative character sums modulo a prime number. We review the Burgess bound for such...

Andrew Schopieray - University of New South Wales
The classical McKay correspondence characterises finite subgroups of SU(2) by associating them with a very restrictive family of graphs.   This can be rephrased in modern language as a classification...

Matthew Hircock - University of New South Wales
The numerical range was first studied in 1918 as a useful tool for localising the spectrum of a linear operator on a Hilbert space. The convexity of this localisation limits how much information we...

Zac Murphy - University of New South Wales
At first glance, quotient categories might seem like a strange notion to define, but in actuality they turn out to be quite useful constructions. On one hand, they simplify the treatment of certain...