Organisers:
MATRIX

Shagnik Das (Taiwan National University)
Anita Liebenau (UNSW)
Rajko Nenadov (University of Auckland)

MFO
Ross J. Kang (University of Amsterdam)
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: TBD

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

Registration:

• Deadline: TBD
• Registration is by invitation only. If you are interested to participate in this program, please contact one of the organisers with your CV and research background.
• Arrival date: 6 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.