# 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...