Organisers:
William Mead (University of Melbourne)
Aram Perez (Monash University)
Yuyang Zhou (University of Melbourne)

Description:
Over the last century, models of statistical mechanics have inspired a tapestry of rich mathematical structures. While mathematicians study the Ising model, percolation, and the six-vertex model for their inherent mathematical beauty, these models also serve to emulate real and universal physical phenomena. Our aim is to explore the mathematical frameworks that underpin select models of statistical mechanics, discussing recent advancements and their applications. We hope to encourage participation from Australian PhD students by exposing them to their international peers as well as renowned experts.

The focus topics of the symposium are:
1. Probability theory and its applications to the study of critical phenomena in models of statistical mechanics, including interacting particle systems and percolation.
2. The mathematics of integrable systems, including vertex models, dimer models, and quantum spin chains, as well as the applications of integrability to symmetric functions, representation theory, Temperley-Lieb algebras, and integrable probability.

We invite contributions that bridge the gap between probabilistic and algebraic perspectives, fostering collaboration and advancing our understanding of these complex systems.

Contact: aram.perez@monash.edu

Masterclass lectures:
Tim Garoni (Monash University)
“Statistical Mechanics in High Dimensions”
Michael Wheeler (University of Melbourne)
“The Schur Process and Limit Shapes”

Featured speakers:
Tim Banova (University of Melbourne)
Yucheng Liu (University of British Columbia, Canada)
Madeline Nurcombe (University of Sydney)
Sri Tata (Yale University, USA)
Dmitry Kolyaskin (Australian National University)

Program Structure:

Participant List:
Luke Attril (Monash University)
Aram Perez (Monash University)
Jack Mills (Monash University)
Tim Garoni (Monash University)
Tim Banova (University of Melbourne)
Cengiz Gazi (University of Melbourne)
Weiying Guo (University of Melbourne)
Michael Wheeler (University of Melbourne)
Yuyang Zhou (University of Melbourne)
William Mead (University of Melbourne)
Artem Stoian (University of Melbourne)
Madeline Nurcombe (University of Sydney)
Albert Demskoy (University of Melbourne)
Siyu Li (La Trobe University)
Junze Zhang (Douglas) (University of Queensland)
Stanley Luk (University of Technology Sydney)
Jaco van Tonder (University of Queensland)
James Elhindi (University of Melbourne)
Dmitry Kolyaskin (Australian National University)
Liam Wood-Baker (Monash University)
Clayton McDonald (Monash University)
Gypsy Akhyar (University of Melbourne)
Ainsley Nicoll (University of Melbourne)
Luca Taylor-Morice (University of Melbourne)
Aidan Petrowski (University of Melbourne)

Registration:

• Registration is now closed
• Arrival date: 30 March 2025
• Departure date: 4 April 2025

Sponsors:
This symposium is supported by MATRIX and AMSI.

ASSOCIATED EVENTS

MATRIX Wine and Cheese Afternoon 1 April 2025
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.