# 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.

Edward McDonald - University of New South Wales
The density of states is a non-negative measure associated to a Schrodinger operator which is supported on its essential spectrum. Theoretical questions concerning the existence and properties of the...

Jinghao Huang - University of New South Wales
In 1967, W.A.J. Luxemburg raised a problem: Determine all the extreme points of the set of elements majorised by an integrable function on an arbitrary finite measure space. The atomless case has...

Stephan Baier - Ramakrishna Mission Vivekananda Educational and Research Institute
Dirichlet's approximation theorem tells us that, given any irrational $\alpha$, the inequality $|\alpha-a/q| \le q^{-2}$ is satisfied for infinitely many fractions $a/q$ of coprime integers $a$ and $... Dietmar Bisch - Vanderbilt University Subfactors of von Neumann factors have a rich representation theory that gives rise to interesting mathematical structures such as fusion categories, planar algebras or link invariants. They are... Ayla Gafni - University of Mississippi Fix an elliptic curve$E$over$\mathbb{Q}$. An extremal prime'' for$E$is a prime$p$of good reduction such that the number of rational points on$E$modulo$p$is maximal or minimal in... Daniel Thornton - University of New South Wales Suppose that you have a coin which, when flipped, lands on heads with probability$p \in [0,1]$, and tails with probability$1-p$. Given a set of$n$vertices, construct a graph on them as follows.... Harry Denman - University of New South Wales In Analysis, Brouwer's fixed point theorem and the contraction mapping theorem are the cornerstone of fixed point theorems. Brouwer's fixed point theorem states that every continuous function f on a... Robert Tan - University of New South Wales In classical probability theory, the expectation of a random variable $X$ on a probability space $(\Omega, \mathcal{F}, \mathbb{P})$ is defined to be the integral of a random variable, when... Alex Patterson - University of New South Wales Let$f$be a polynomial over a field$F$and let$f^{(n)}$denote the$n$-th iterate of$f$. An active research area in the field of arithmetic dynamics is to investigate the properties of$f^{(n)}\$...

Daniel Tanios - UNSW Sydney
The advent of information systems and their subsequent ubiquity have made cryptography an important field and an active area of research. New technological and computational challenges to...