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Most specifically I wonder if there is any chance that he kept the notebooks he refers to in his autobiography. Probably he did not. But Gauss kept his diary....

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Casey Westerman, archivist at the IAS in Princeton, advises that André Weil's papers are held at the Institut de France Académie des Sciences.

http://www.academie-sciences.fr/fr/Transmettre-les-connaissances/inventaires-des-fonds-d-archives-personnelles.html

In addition, the Bibliothèque nationale de France holds Simone Weil's papers including her correspondence with André.

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