Spectral gaps 2025

Welcome to the official website for Spectral Gaps 2025, an international research conference that will take place in the coastal town of Portorož, Slovenia.

The conference will gather mathematicians from around the world to explore the latest advances in spectral theory of operators, with a special focus on spectral gaps and their applications in dynamics and geometric group theory.  

Here is the conference poster.

This is the second edition of the Spectral gaps conference. The previous one was in 2023 at Durham University, UK. More details about it can be found here.

• Miklos Abert (Alfred Renyi Institute of Mathematics)

• Tim Austin (University of Warwick)

• Tatiana Brailovskaya (Princeton University)

• Emmanuel Breuillard (University of Oxford)

• Ewan Cassidy (Durham University)

• Mikael de la Salle (Institut Camille Jordan, Lyon)

• Rostislav Grigorchuk (Texas A&M University)

• Ben Hayes (University of Virginia)

• Harald Helfgott (Georg-August-Universitat Gottingen)

• Camille Horbez (Laboratoire de Mathématiques d'Orsay) 

• Vadim Kaimanovich (University of Ottawa)

• Martin Kassabov (Cornell University)

• Peter Keevash (University of Oxford)

• Emmanuel Kowalski (ETH Zurich)

• Theo McKenzie (Stanford University)

• Noema Nicolussi (TU Graz)

• Joe Thomas (Durham University)

• Ramon van Handel* (Princeton University)

• Tianyi Zheng (UC San Diego)

The event will be  held in Portorož, Slovenia, at the Hotel Histrion, St. Bernardin Resort.

We have arranged to have special conference rates at the Hotel Histrion and some other nearby hotels. In order to access these and book your accommodation, follow this link.

The closest airports are Trieste (1h from the venue), Ljubljana (1.5h), and Venice (2h). 

The easiest way of getting from the airport to the venue is with a shuttle (which you should book well in advance).

Registration closed on 30 June 2025. If you missed the deadline but still wish to register, please email the organizers at spectralgaps2025@gmail.com.
We also plan to stream the event; however, registration is required in order to receive a Zoom link.

• Urban Jezernik (University of Ljubljana and Institute of Mathematics, Physics, and Mechanics)

• Aleksey Kostenko (University of Ljubljana and Vienna University of Technology)

• Michael Magee (Durham University)