1 – 5 June 2026

Hosted by: The Heilbronn Institute, University of Bristol, UK

Jointly funded by the Clay Mathematics Institute and the Heilbronn Institute for Mathematical Research.

Organisers: 

Laura Monk (Bristol)

Emma Bailey (Bristol)

Influential conjectures from quantum chaos state that the spectral properties of chaotic systems are universal and given by random matrix theory. Startling heuristics have been provided by mathematical physics, but many are yet to be realised as a formal proof. These past few years have seen significant breakthroughs in the study of random regular graphs where random matrix statistics have been obtained, as well as promising developments in the field of random hyperbolic surfaces. This school will present the rich history of random matrix theory, communicate some of the key ideas behind these exciting advances, and provide an opportunity for new collaborations. 

Mini-Course Lecturers:

Ofir Gorodestsky (Technion – Israel Institute of Technology)

Michael Magee (Durham)

Theo McKenzie (Stanford)

Guest Lecturers

Igor Wigman (Kings College London)

Julien Moy (Paris-Saclay)

Bram Petri (Sorbonne)

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Information on past summer schools is available here

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