# 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...