Organisers:
Alexander Alexandrov (IBS Center for Geometry and Physics, South Korea)
Norman Do (Monash University)
Paul Norbury (The University of Melbourne)

Program Description:

The program aims to assemble experts in integrable systems and topological recursion with a common interest in enumerative geometry. The significance of this field is demonstrated by the breadth of different areas in mathematics and physics influenced by topological recursion. There has been a rapid growth in the number of publications in the field since the seminal work of Eynard and Orantin was published in 2007. Over the last decade, a large number of significant research events on this topic have been held around the world. This includes successful MATRIX programs in 2016 and 2021. Over this time, the field has advanced rapidly, evidenced by the Kontsevich–Soibelman reformulation of topological recursion, breakthroughs in our understanding of symplectic invariance, direct applications to the theory of resurgence and non-perturbative physics, and ongoing developments in enumerative geometry. It is thus an ideal time to host this program in Australia. Beyond the stimulation of new developments in the field, further benefits will include the building of international collaborations and networks, an increased contribution from the Australian community to this field, and the significant benefits to pure mathematics and related scientific fields that will ensue.

The image above is by Danilo Lewański.

Program Structure:

Participant List:
Kento Osuga (Nagoya University)
Sergey Shadrin (University of Amsterdam)
Elba Garcia Failde (Institut de Mathématiques de Jussieu – Paris Rive Gauche (Sorbonne Université))
Alexander Hock (University of Geneva)
Alexander Alexandrov (IBS Center for Geometry and Physics)
Nitin Chidambaram (University of Edinburgh)
Boris Bychkov (University of Haifa)
Di Yang (University of Science and Technology of China)
Kohei Iwaki (University of Tokyo)
Leonid Chekhov (Michigan State University)
Alessandro Giacchetto (ETH Zurich)
Reinier Kramer (Università di Milano-Bicocca)
Norman Do (Monash University)
Maciej Dołęga (Institute of Mathematics of the Polish Academy of Sciences)
Vincent Bouchard (University of Alberta)
Piotr Sułkowski (University of Warsaw)
Paul Norbury (University of Melbourne)
Maksim Kazarian (Nationa Research University Higher School of Economics)
Pedram Karimi (University of Warsaw)
Lewański Danilo (University of Trieste)
Edward Mazenc (ETH Zurich)
Arlo Taylor (Monash University)
Merlyn Barrer (University of Canterbury)

Registration:

• Registration is now closed
• Arrival date: 30 November 2025
• Departure date: 12 December 2025

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 2 December 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.