# 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.

Tsuyoshi Kato - Kyoto University
We define a twisted Donaldson’s invariant using the Dirac operator twisted by flat connections when the fundamental group of a four manifold is free abelian.  We also present its applications and...

Sean Lynch - University of New South Wales
The large sieve inequality is ubiquitous in analytic number theory and is a crucial ingredient in big results such as the Bombieri-Vinogradov Theorem and the Grand Density Theorem. Roughly speaking,...

Alan Stoneham - University of New South Wales
Toeplitz operators generalise matrices which are constant on diagonals. There is a well-developed theory of these operators, particularly when acting on the Hardy space $H^2(T)$ which might be...

Madeleine Kyng - University of New South Wales
The zeta function of a curve defined over a finite field is a generating function which encodes arithmetic and geometric information about the curve. An important problem in computational number...

Jessica Dai - University of New South Wales
Various parameters of a linear code, such as its minimum weight and minimum distance, provide information about its error-detecting and error-correcting capabilities. In 1963, MacWilliams proved her...

Dzmitry Badziahin - University of Sydney
Winning sets were initially introduced by W. Schmidt. He used them to solve several problems in Diophantine approximation about the structure of the so called badly approximable sets. Schmidt winning...

Xuan Duong - Macquarie University
We explain some recent progress concerning estimates of singular integrals with rough kernels and function spaces associated to operators on non-doubling spaces such as the non-doubling manifolds...

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....

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...