# 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...