# Seminar Archive - 2019

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.

*Paul Bryan - Macquarie University*

The Harnack inequality plays a central role in the analysis of parabolic equations, such as through the strong maximum principle, regularity of weak solutions, Liouville type theorems for ancient...

*Geoff Stanley - School of Mathematics and Statistics, UNSW*

Most of the mixing in the ocean occurs along "neutral surfaces" rather than across them, but difficulties arising from nonlinearities in the density of seawater mean neutral surfaces can only be...

*Rutvik Oza - UNSW*

In the game of cops and robbers, the cops try to capture a robber moving on the vertices of the graph. Though the game is well studied on graphs, there are very few results on directed or oriented...

*Benoit Liquet - Queensland University of Technology*

It is well established that incorporation of prior knowledge on the structure existing in the data for potential grouping of the covariates is key to more accurate prediction and improved...

*Peter Donovan - University of New South Wales*

There is a rather surprising relevance of the Artin-Hasse exponential to the Grothendieck Riemann-Roch theorem.

*Edward McDonald - University of New South Wales*

In 1990 V. Peller made a conjecture concerning a sufficient condition for a function on the real line to be Lipschitz under $L_p$-Schatten class perturbations when $0 < p < 1$. After reviewing...

*Asif Zaman - Stanford*

Random multiplicative functions naturally serve as models for number theoretic objects such as the Mobius function. After fixing a particular model, there are many interesting questions one can ask....

*Jorge Mello - UNSW*

The so-called height functions on algebraic varieties have played a very important role in the fields of Number theory and Diophantine geometry throughout the past century and the present since the...

*Alexander Jason Dunn - University of Illinois*

Let
\[ f(q):=1+\sum_{n=1}^\infty \frac{q^{n^2}}{(1+q)^2(1+q^2)^2\cdots(1+q^n)^2}=:1+\sum_{n=1}^{\infty} \alpha(n)q^n, \]
be the well-known third order mock theta of Ramanujan. Part of the...

*Dr Gennady Arshad Notowidigdo - UNSW Sydney*

In the first part of a two-part talk, the notion of a generalised vector product in three-dimensional vector space is introduced, where a general non-degenerate symmetric bilinear form now dictates...