# 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.

Galina Levitina - University of New South Wales
Using tools of the scattering theory we prove a limiting absorption for the free massless Dirac operator $D$ in multidimensional Euclidean space. As a corollary we prove that for a sufficiently good...

Igor Shparlinski - UNSW Sydney
It has been known since the pioneering work of Postnikov (1956) that character sums modulo prime powers $p^k$ with small $p$ and large $k$ admit bounds of much shorter length than for generic or...

Changhao Chen - UNSW Sydney
We talk about multiplicative character over finite fields, which is  a fundamental topic in analytic number theory. Characters are related to Dirichlet $L$-functions, quadratic residues, primitive...

Adam Rennie - University of Wollongong
In work with Robertson and Sims, I found a way to cook up a KMS weight/state on a Cuntz-Pimsner algebra starting with a very strange operator-valued weight. I will describe the construction. If I...

Marley Young - University of New South Wales
A famous result of Northcott implies that a polynomial defined over a number field $K$ has only finitely many preperiodic points lying in $K$. It is of interest to determine if similar finiteness...

Jozsef Solymosi - University of British Columbia
In their seminal paper Erdos and Szemeredi formulated conjectures on the size of sumset and product set of integers. The strongest form of their conjecture is about sums and products along the edges...

Alexander Fish - University of Sydney
We introduce the notion of a quantitatively pleasant action on $\mathbb{Z}^d$, and show how the polynomial walks can be used to exhibit the quantitative pleasantness of certain natural actions on $\... Prof Herbert Huppert - Cambridge University What is the time taken for solutions of nonlinear partial differential equations to be approximated by related similarity solutions, independent of initial conditions? Fedor Sukochev - University of New South Wales We answer in affirmative the open question raised by Figiel, Johnson and Pelczynski on whether the predual of a$\sigma$-finite von Neumann algebra has property$(k)$. Our approach here is to show... Gavin Robertson - University of New South Wales In 1932, Banach devoted Chapter 12 of his book “Theory of Linear Operations” to determining the values of$p$and$q$for which the Banach space$L^{q}[0,1]\$ is (linearly) isomorphic to a subspace...