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.

Location: All talks will be held in-person at the School of Mathematics, University of Bristol, Woodland Road, Bristol, BS8 1UG

View maps and get directions in this link

Organisers:  Laura Monk (Bristol) and Emma Bailey (Bristol)

Registration is now open. Please register your interest by completing the application form in the link below. Your curriculum vitae and a short supporting letter from your PhD supervisor will be required with your application.

Closing date for registration: 8 February 2026 (23:59 UK time) | Successful applicants will be notified by early March 2026.

Who should apply: This summer school is aimed at graduate students and early career researchers. All applications will be considered before applicants are offered a place.

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Topic Description: 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 summer 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 Gorodetsky (Technion – Israel Institute of Technology)

Michael Magee (Durham)

Theo McKenzie (Stanford)

Guest Lecturers

Laura Monk (Bristol)

Julien Moy (Paris-Saclay)

Bram Petri (Sorbonne)

Igor Wigman (Kings College London)

More information on the summer school website

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For more information please email the Heilbronn events team at  heilbronn-coordinator@bristol.ac.uk

Information on past summer schools is available here

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