Organisers:
Marcy Robertson (University of Melbourne)
Philip Hackney (University of Louisiana at Lafayette)

Program Description:
Over the last 15 years, substantial progress has been made in advancing the theory of higher structures. This program aims to explore the impact of developments in the theory of higher, or infinity, categories on key areas such as algebraic topology, algebraic and arithmetic geometry, and geometric representation theory. It will facilitate collaboration between foundational experts, the mathematicians pioneering new advancements in higher structures, and the intended end-users of these structures. Ample time for collaboration and discussion will be provided, fostering an environment conducive to knowledge exchange and idea generation. Additionally, a brief mini-conference will be included in the program, offering a platform for early-career researchers in the field to showcase their work.

Program Structure:

Related Event: http://phck.net/hs2026/

Participant list:
Julie Bergner (University of Virginia)
Ieke Moerdijk (Department of Mathematics, Utrecht University)
Peter Haine (University of Southern California)
Tim Holzschuh (Institut des Hautes Études Scientifiques)
Justin Lynd (University of Louisiana)
Philip Hackney (University of Louisiana at Lafayette)
Christian Haesemeyer (University of Melbourne)
Tobias Dyckerhoff (Universität Hamburg)
Marcy Robertson (University of Melbourne)
Dominic Verity (Australian National University and Macquarie University)
Violeta Borges Marques (University of Hamburg)
Hiro Tanaka (Texas State University)
Lior Yanovski (University of Melbourne)
David Gepner (Johns Hopkins University)
Maru Sarazola (University of Minnesota)
Nora Ganter (University of Melbourne)
Kurt Stoeckl (University of Melbourne)
Sophie Raynor (James Cook University)
Paul Lessard (Monash & Sirius Beta)

Registration:

• Registration is now closed
• Arrival date: 9 August 2026
• Departure date: 14 August 2026

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 11 August 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.