Organisers:

MATRIX
Shagnik Das (Taiwan National University)
Anita Liebenau (UNSW)

MFO
Ross J. Kang (University of Amsterdam)
Rajko Nenadov (University of Auckland)
Lisa Sauermann (University of Bonn)

Program Description:
Combinatorics is a vibrant and rapidly evolving field of mathematics, with significant interdisciplinary applications in areas such as network analysis and digital structures. This workshop will specifically focus on Probabilistic and Extremal Combinatorics, with a particular emphasis on Ramsey numbers and phase transitions. These topics have seen important recent advances and continue to be areas of active research and exploration within the combinatorial community.

Ramsey numbers, which describe the minimum number of vertices needed to ensure certain substructures in graphs, have long been a central focus in extremal combinatorics. Phase transitions, on the other hand, represent sudden changes in the behaviour of combinatorial structures as certain parameters vary. The workshop aims to bring together researchers from the Asia-Pacific region and Europe to collaborate on these challenging problems, fostering new insights and approaches. By concentrating on these areas, the workshop seeks to push the boundaries of our understanding in Probabilistic and Extremal Combinatorics, potentially leading to breakthroughs in long-standing open problems and the development of new techniques.

Program Structure:

MFO webpage: https://www.mfo.de/www/activity/2637a

Participant List:
Thomas Lesgourgues (University of New South Wales)
Anita Liebenau (University of New South Wales)
Catherine Greenhill (University of New South Wales)
Jane Tan (University of Oxford)
Jie Ma (University of Science and Technology of China)
Joonkyung Lee (Yonsei University)
Katharine Clinch (University of Queensland)
Shagnik Das (National Taiwan University)
Maya Stein (University of Chile)
Ian Wanless (Monash University)
Bjarne Schülke (Institute for Basic Science)
Daniel Horsley (Monash University)
Brendan McKay (Australian National University)
Nick Wormald (Monash University)
Brahadeesh Sankarnarayanan (Indian Institute of Technology Jodhpur)
Niranjan Balachandran (Indian Institute of Technology Bombay)
Simón Piga (Institute for Basic Science, South Korea)
Jeffrey Yang (University of New South Wales)
Hehui Wu (Fudan University)
Lachlan Dunn (University of New South Wales)

Registration:

• Registration is now closed
• Arrival date: 6 September 2026
• Departure date: 11 September 2026

ASSOCIATED EVENTS

MATRIX Wine and Cheese Afternoon 8 September 2026
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.