# 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.

*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...

*Zsuzsanna Dancso - University of Sydney*

Quantised lattices, or q-lattices, appear naturally through categorification constructions - for example from "zigzag-algebras" - but they haven't been studied from a lattice theory point of view....

*Oded Yacobi - University of Sydney*

Linear representations of Lie algebras have a beautiful and well studied theory. In the last decade we've discovered an equally rich and rigid theory of categorical representations of Lie algebras,...

*Peng Gao - Beihang University, China*

Let $c$ be a square-free Gaussian integer such that $c$ is congruent to 1 modulo 16. For fixed real $\sigma>1/2$, we show that there is an asymptotic distribution function $F_{\sigma}$ for the...

*Arnaud Brothier - University of New South Wales*

Jones subfactor theory studies inclusion of von Neumann algebras that are objects coming from functional analysis. It is connected to many area of mathematics such as tensor categories, knot theory,...

*Zahra Afsar - University of Sydney*

Given a quasi-lattice ordered group $(G, P)$ and a compactly aligned product system $X$ of essential $C^*$--correspondences over the monoid P, we show that there is a bijection between the gauge-...

*Anita Liebenau - University of New South Wales*

Ramsey theory connects several areas of mathematics including graph theory, number theory, discrete geometry, and many more. Its central idea is that total chaos is impossible. Erdos and Szekeres...

*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...