# Gordon Preston Prize

The Gordon Preston Prize is awarded annually for the most outstanding student talk at the Australian Algebra Conference. The winner of the prize receives $300 and a certificate. The prize is named in honour of renowned semigroup theorist Professor Gordon Preston (Monash University), who played an important role in the instigation of the annual conference known over the years as the Algebra Conference of Victoria, the Victorian Algebra Conference and the Australian Algebra Conference.

The Gordon Preston Prize was first awarded in 2006, with Professor Gordon Preston himself attending the conference and presenting the prize to the inaugural winner.

### Rules of the Gordon Preston Prize

The rules for the prize and advice for speakers are given here and may be downloaded as a word file.

### Winners of the Gordon Preston Prize

2023 winner: Ðorđe Mitrović (University of Auckland, New Zealand) - Graph growth of transitive permutation groups

Honourable mention: Matthias Fresacher (Western Sydney University) - Congruence lattices of finite twisted Brauer monoids

2022 Winner: Alfilgen Sebandal (Mindanao State University) - A Confirmation on the Finite Graded Classification Conjecture of Leavitt Path Algebras

2021 Winner: Edmund Heng (ANU) - Generalised braid groups, categorification and dynamics

Honourable mention: Jack Allsop (Monash) - Solution to a question of Falconer on quasigroup varieties

Honourable mention: Darryl Teo (UWA) - On the Intersection Multiplicity of Plane Curves

2020 Winner: Alex Bishop (University of Technology, Sydney) – Towards a classification of group geodesic growth

2019 Winner: Jason Brown (University of Melbourne) – A class of PL-homeomorphism groups with irrational slopes

2018 Winner: Lauren Thornton (University of the Sunshine Coast) – Some results differentiating Kurosh-Amitsur and base radical classes.

Honourable mention: Yoong Kuan Goh (University of Technology Sydney) – Pattern avoidance in stack sorting;

Honourable mention: Simon Rigby (Ghent University, Belgium) – Tensor products of Steinberg algebras

2017 Joint Winners: Becky Armstrong (University of Sydney) – Simple graph algebras, and Alex Casella (University of Sydney) – Understanding 3-manifolds by their character variety

2016 Winner: Jon Xu (University of Melbourne) – The Thickness of Schubert Cells

2015 Winner: Christopher Taylor (La Trobe University) – Algebras of incidence structures: representations of regular double p-algebras

Honourable mention: Cameron Rogers (University of Newcastle) – Using random walk distributions for determining Folner sequences

2014 Winner: Joshua Howie (University of Melbourne) – The relative 1-line property for knot exteriors

2013 Winner: Murray Smith (La Trobe University) – Game theoretic representations of semilattice-ordered semigroups

2012 Winner: Jon Xu (University of Melbourne) – Generalised n-gons and the Feit–Higman theorem

2011 Winner: Michael Brand (Monash University) – Friedman numbers have density 1

Honourable mention: Nadiya Al Dhamri (La Trobe University) – Duality of quasivarieties of bands

2010 Joint Winners: Matthew Kotros (University of Melbourne) – Relative hyperbolicity of groups and relative quasiconvexity of subgroups, and Tharatorn Supasiti (University of Melbourne) – On the asymptotic dimension of metric spaces

2009 Winner: Kyle Pula (Monash University/University of Denver) – Products of all elements in a loop

Honourable mention: Maurice Chiodo (University of Melbourne) – Coverings of groups by proper normal finite index subgroups

2008 Winner: Neil Saunders (University of Sydney) – Minimal permutation degrees of irreducible Coxeter groups

Honourable mention: Kerri Morgan (Monash University) – Chromatic factorisation of graphs

2007 Winner: Shona Yu (University of Sydney) – The cyclotomic Birman-Murakami-Wenzl algebra

2006 Winner: Neil Saunders (University of Sydney) – A class of examples for minimal degrees of direct products

Neil Saunders 2006 and 2008

Shona Yu 2007

### Kyle Pula 2009

### Gordon Preston with Matthew Kotros and Tharatorn Supasiti 2010

Michael Brand 2011

Jon Xu 2012

Murray Smith 2013

Joshua Howie 2014

Christopher Taylor 2015

Jon Xu 2016

Alex Casella and Becky Armstrong 2017

Simon Rigby, Lauren Thornton, Yoong Kuan Goh 2018

Jason Brown 2019

Alex Bishop 2020

Edmund Heng 2021

Alfilgen Sebandal 2022

Alfilgen Sebandal 2022

Ðorđe Mitrović 2023

Matthias Fresacher 2023 (hon. Mention)