# 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.

Bryce Kerr - UNSW Canberra
In this talk we describe some progress to a conjecture of Zhao on the distribution of fractions with power denominator in short intervals. In particular we show how one may obtain an averaged form of...

Houcein El Abdalaoui - University of Rouen
The Liouville function assigns the value $+1$ to $n$ if the number of prime factors of $n$ counted with multiplicities is even and $-1$ if not. The Möbius function coincides with the Liouville...

Simon Macourt - UNSW
We build upon the existing results of multilinear exponential sums over prime fields and extend results beyond the previous barrier of quadrilinear sums to general multilinear sums. This extension is...

Yann Bugeaud - University of Strasbourg
It is commonly expected that $e$, $\log 2$, $\sqrt{2}$, among other classical numbers, behave, in many respects, like almost all real numbers. For instance, their decimal expansion should contain...

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...

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....

Mark Watkins - University of Sydney
Gauss conjectured there are exactly nine imaginary quadratic fields with class number one (i.e., unique factorization). This was proven by independent work of Heegner, Baker, and Stark. By now, there...

Kevin McGown - California State University, Chico
The class number is among the most important invariants associated to a number field. Conjecturally, its behavior (at the “good” primes) is governed by the heuristics of Cohen-Lenstra-Martinet. By...

Everyone invited to propose a problem - UNSW
Everyone is invited to present (for a few minutes) an open problem in number theory.

Timothy Trudgian - UNSW Canberra
In 1980 Pintz showed how to squeeze the most out of the zero-free region for the Riemann zeta-function. Such regions give one good error terms for the prime number theorem. I’ll talk about recent...