# 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.

*Marley Young - UNSW*

We consider the problem of when the first $n$ iterates of a given rational function over an arbitrary field are multiplicatively independent. This leads to a generalisation of a method of Gao (1999)...

*Andrew Hone - University of Kent*

The appearance of primes in a family of linear recurrence sequences labelled by a positive integer $n$ is considered. The terms of each sequence correspond to a particular class of Lehmer numbers, or...

*Caroline Turnage-Butterbaugh - Duke University*

This talk will present a new effective Chebotarev theorem that holds for all but a possible zero-density subfamily of certain families of number fields of fixed degree. For certain families, this...

*Alina Ostafe - UNSW*

Bombieri, Masser and Zannier (1999) proved that the intersection of a curve defined over a number field with the union of all proper algebraic subgroups of the multiplicative group $\mathbb{G}_m^n$...

*Joachim von zur Gathen - University of Bonn*

We consider natural combinatorial questions about systems of multivariate polynomials over a finite field and the variety V that they define over an algebraic closure. Fixing the number of variables...

*Liangyi Zhao - UNSW*

Borrowing a line from an anarchist and mangling it somewhat: happy family members are all alike. Indeed, the objects of interest of this talk will be families consisting of kindred members having...

*Simon Macourt - UNSW*

We provide a background on some recent results on multilinear exponential sums as well as collinear triples over a finite field. We then focus on the specific cases of weighted trilinear and...

*Antoine Joux - Laboratoire d'informatique de Paris 6*

We consider the problem of solving multivariate systems of Boolean polynomial equations: starting from a system of $m$ polynomials of degree at most $d$ in $n$ variables, we want to find its...

*Mumtaz Hussain - La Trobe University*

Let $\psi:\mathbb R_+\to\mathbb R_+$ be a non-increasing function. A real number $x$ is said to be $\psi$-Dirichlet improvable if it admits an improvement to Dirichlet's theorem in the following...

*Andrew Hone - University of Kent (UK) and UNSW*

There are relatively few transcendental numbers for which the continued fraction expansion is explicitly known. Here we present two new families of continued fractions for Engel series - sums of...