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This is an annual summer school in pure and applied mathematics that has taken place for more than sixty years on the campus of the University of Montreal. Focused on a hot current research topic, the SMS brings together top quality lecturers and students from all over the world. The school is targeted mainly towards advanced graduate students. It consists of roughly 12 courses of around four one-hour lectures, each spread over two weeks. The courses are attended by around 40 to 60 students selected on a competitive basis. The lectures are published in a volume after the end of the meeting. Financial support for the accepted students is available.

Initiated in 1961 by the Mathematics and Statistics department of the Université de Montréal, the school was initially funded by the NATO science program. Since 2011, the school has the CRM as the main partner, and it is a joint endeavor of the Canadian Mathematical Institutes (CRM, Fields, PIMS) together with the MSRI and ISM. It also receives the support of the Université de Montréal.

All decisions concerning the school, in particular the selection of future programs is made by the SMS steering board currently consisting of:

Hélène Barcelo (MSRI), Octav Cornea (Université de Montréal), Henri Darmon (McGill University), Deirdre Haskell (McMaster), Nilima Nigam (Simon Fraser University), and Iosif Polterovich (Université de Montréal, Director of the SMS).