# 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.

Tim Trudgian - UNSW Canberra at ADFA
… turn to square-free numbers! These include the primes as well as other numbers that are ‘not too composite’. If the primes are giving us grief, then we can content ourselves with solving questions...

Alisa Sedunova - Saint Petersburg State University
Let $r(n)$ be the function that counts the number of ways to represent a natural number n as a sum of two positive squares. The number of solutions to $a^2+b^2 = c^2+d^2 \le x$, hence, the second...

Holly Krieger - University of Cambridge
I will discuss joint work with Laura DeMarco and Hexi Ye in which we introduce a general strategy for quantitative bounds on points of small height.  We apply this strategy to prove a uniform Manin-...

Ilya D. Shkredov - Moscow State University
We are going to talk about the connection between growth in $SL2(F)$ for various fields $F$ and a series of problems of Number Theory and Additive Combinatorics such as Zaremba's conjecture (...

Edgar Costa - MIT
We describe algorithms for the rigorous computation of the endomorphism ring of the Jacobian of a curve defined over a number field.This is joint work with Davide Lombardo, Nicolas Mascot, Jeroen...

Changhao Chen - UNSW Sydney
Weyl sums arising from the famous paper of Weyl 1916 for the purpose of establishing the uniform distribution modulo one for some sequences. The Weyl sums play crucial role in many other fundamental...

Thomas Morrill - UNSW Canberra
Overpartitions are a generalisation of integer partitions, chosen that their combinatorics align nicely with the coefficients of $q$-hypergeometric series. We review the $q$-analogues of some...

Min Sha - UNSW Sydney
Recently, joint with Fabrizio Barroero we proved that on an elliptic curve defined over a number field there are only finitely many torsion points whose coordinates are multiplicatively dependent. In...

William Chen - Macquarie University
In this brief survey, we discuss some of the main results in geometric discrepancy theory. More importantly, we discuss some of the difficult unsolved problems in the subject.

Ramanujan's formulas for $1/\pi$ and their generalizations remain an amazing topic, with many mathematical challenges.Recently it was observed that the formulas possess spectacular `supercongruence'...