# 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...