# 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.

*Behrouz Taji - University of Sydney*

A celebrated conjecture in algebraic geometry, which goes back to Shafarevich, predicts that variation in many families of projective complex manifolds can be in some sense measured by the canonical...

*Bregje Pauwels - University of Sydney*

To any tensor-triangulated category $T$, there is a natural way to associate a site and a sheaf cohomology. The objects in this site are the commutative separable monoids in $T$. For instance, if $T...

*Daniel Hauer - University of Sydney*

The fundamental gap conjecture states that the difference of the 2nd and 1st eigenvalue of the Schroedinger operator equipped with a bounded potential in a convex bounded region in $\R^{d}$ with...

*Michael Coons - University of Newcastle*

For some time now, I have been trying to understand the intricacy and complexity of integer sequences from a variety of different viewpoints and at least at some level trying to reconcile these...

*Jonathan Spreer - University of Sydney*

Triangulating manifolds, i.e., decomposing them into a finite number of simple pieces, enables us to computationally tackle topological problems in geometric topology. Representing a given...

*Kam Hung Yau - University of New South Wales*

The Goldbach conjecture states that all even integer greater than 2 is a sum of two primes. Currently we do not have sufficient tools to prove this conjecture but we can obtain the following...

*Jorge Mello - University of New South Wales*

A famous integrality result due to Siegel says that genus one curves have a finite number of integral Solutions. In this talk we will recall some analogous results in the context of arithmetic...

*Anne Thomas - University of Sydney*

The notion of divergence of geodesics was introduced by Gromov in the 1980s as a way of quantifying how fast a pair of geodesic rays in a space move away from each other. Gersten then used this idea...

*Anna Romanov - University of Sydney*

Whittaker modules are certain representations of Lie algebras which were first studied by Kostant for their relationship to the Whittaker equation in number theory. From a representation-theoretic...

*Yusra Naqvi - University of Sydney*

Many simplicial complexes which are important from a combinatorial, geometric or representation-theoretic perspective have enormous symmetry groups. Associated to the action of a group $G$ on a...