About Workshop

Frieze patterns are celebrated for their ubiquity in mathematics, featuring in cluster algebras, continued fraction theory, difference equations, hyperbolic geometry, and moduli space theory.

Organised in partnership with the Clay Mathematics Institute, this workshop brings together researchers from frieze patterns and the cognate fields of continued fractions and discrete geometry to promote cross-disciplinary interactions in these fertile subjects. The event is framed around the legacy of the English geologist John Farey (1766–1826), who inspired the development of Farey sequences and the Farey tessellation, which are common themes of the workshop. There will be a mathematical art gallery accompanying the workshop to share the outputs of our research.

We acknowledge the support of the Clay Mathematics Institute, Edinburgh Mathematical Society, Heilbronn Institute for Mathematical Research and London Mathematical Society .

Participation

Please click the “Apply Here” on top of the page to submit your application before 15 February 2026. Most funding was allocated for the original deadline of 15 January 2026. Some funds remain for this extended deadline of 15 February 2026. Late applications will not be considered.

Successful applicants, notified by the ICMS, will be required to pay 150 GBP as a registration fee. For locals who are based in Edinburgh, the registration fee will be waived.