Twistor Theory

Twistor theory was originally proposed by Roger Penrose as a new geometric framework for physics that aims to unify general relativity and quantum mechanics. In the twistor approach, space-time is secondary with events being derived objects that correspond to compact holomorphic curves in a complex three-fold, the twistor space. The mathematics of twistor theory goes back to the 19th century Klein correspondence, but one of the unexpected spinoffs from twistor theory is its impact on modern pure mathematics, from differential geometry and representation theory to integrable systems, scattering amplitudes and twistor strings.

Programme Themes

Gravitational Instantons
Integrability
Conformal Geometry

Events

School (24 - 27.08.2026): Geometry and Integrability
Conference (14 - 18.09.2026): Einstein Equations and Conformal Geometry

Organizers

Maciej Dunajski (University of Cambridge)
Wojciech Kryński (Polish Academy of Sciences)

Simons Professors

Maciej Dunajski (University of Cambridge)
Rod Gover (University of Auckland)
Paul Tod (University of Oxford)

Junior Simons Fellows

Participants

Timothy Adamo (University of Edinburgh)
Lars Andersson (University of Potsdam; BIMSA, Beijing)
Bernardo Araneda (University of Edinburgh)
Michael Eastwood (University of Adelaide)
Evgeny Ferapontov (Loughborough University)
Eduardo Garcia-Rio (University of Santiago de Compostela)
Jun-Muk Hwang (Institute for Basic Science, Daejeon)
Wojciech Kamiński (University of Warsaw)
Hari Kunduri (Memorial University of Newfoundland)
James Lucietti (University of Edinburgh)
Lionel J Mason (University of Oxford)
Thomas Mettler (UniDistance Suisse)
Paweł Nurowski (Polish Academy of Sciences)
Peter Olver (University of Minnesota)
Roger Penrose (University of Oxford), TBC
Maria Przybylska (University of Zielona Góra)

email: twistortheory@impan.pl

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