# Seminar Archive - 2020

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome.
A complete list of past seminars can be accessed via the left-hand menu.

*Jason Bell - University of Waterloo*

The degree of a dominant rational map $f:\mathbb{P}^n\to \mathbb{P}^n$ is the common degree of its homogeneous components. By considering iterates of $f$, one can form a sequence ${\rm deg}(f^n)$,...

*William Beare - UNSW Sydney*

Geometric proofs are often the subject of revisiting and streamlining as new perspectives and tools emerge in the world of mathematics. Tangential to this exercise is the ever-growing web that is the...

*Oliver Bruhl - UNSW Sydney*

In 1979 János Komlós proved a generalised result of the strong law of large numbers by removing the i.i.d condition, commonly known as the Komlós Theorem, which guarantees almost everywhere...

*Jackie Lok - UNSW Sydney*

Understanding the rate of convergence to stationarity, or mixing time, of a Markov chain is of interest for problems from shuffling cards to providing rigorous bounds for the runtime of Monte Carlo...

*Dr Amanda Michels - UNSW SYDNEY*

Abstract
In many respects, the past year as a Teaching Fellow at UNSW Sydney has been a dream come true. For me, it has been a unique experience that has expanded my mathematical horizons, in...

*Jasmin Matz - University of Copenhagen*

Suppose $M$ is a closed Riemannian manifold with an orthonormal basis $B$of $L^2(M)$ consisting of Laplace eigenfunctions. A classical result ofShnirelman and others proves that if the geodesic flow...

*Laure Helme-Guizon - UNSW Sydney*

The Science and Engineering Indigenous Preparatory Program is an immersive two-and-a-half-week course which teaches and refines participants’ knowledge in subject areas crucial to succeed in a...

*Dragos Ghioca - University of British Columbia*

The Dynamical Mordell-Lang Conjecture predicts the structure of the intersection between a subvariety $V$ of a variety $X$ defined over a field $K$ of characteristic $0$ with the orbit of a point in...

*Jacob Tsimerman - University of Toronto*

(joint w/ Arul Shankar) We discuss a new method to bound 5-torsion in class groups of quadratic fields using the refined BSD conjecture for elliptic curves. The most natural “trivial” bound on the n-...

*Adam Harper - University of Warwick*

Random multiplicative functions $f(n)$ are a well studied random model for deterministic multiplicative functions like Dirichlet characters or the Mobius function. Arguably the first question ever...