Math

Mathematical texts

Biographical Texts

Photograph Album

Circle Members

Modified Page
Grothendieck's writings no longer available as per his demand

Notes of courses given by Grothendieck

Introduction au langage fonctoriel. Original typed notes, taken by M. Karoubi, of a course taught by Grothendieck in Algiers in November 1965. 77 pages.

Groupes de Barsotti-Tate et Cristaux de Dieudonné. Notes by M. Hakim and J.P. Delale of a lecture course given by Grothendieck at U. of Montreal in the summer of 1970. 150 pages.

Introduction to Functorial Algebraic Geometry. Notes written by Federico Gaeta at (the first part of) a 100-hour course given by Grothendieck in Buffalo, NY in the summer of 1973. These are not based on prenotes by Grothendieck and to some extent represent Gaeta's personal understanding of what was taught there. 168 pages.

Surveys and overviews of Grothendieck's work

Quelques idées maitresses de l'oeuvre de A. Grothendieck. P. Deligne’s overview of some fundamental ideas in Grothendieck’s work.

Detailed review of the Grothendieck-Serre Correspondence. The book was published by the SMF, with English translation published by the AMS. A short version of this review appeared in the Mathematical Intelligencer.

Notes on the life and work of Alexander Grothendieck. An 18-page biographical article by Piotr Pragacz, originally published in Polish in Wiadomo´sci Matematyczne 40 (2004).

The rising sea: Grothendieck on simplicity and generality. A lecture by Colin McLarty.

The rising tide: Grothendieck on simplicity and generality. A streaming video of a talk at MSRI by Colin McLarty on Grothendieck’s approach to mathematics.

A Mad Day's Work: From Grothendieck to Connes and Kontsevitch. The evolution of concepts of space and symmetry. An article by P. Cartier on the evolution of the concept of space with emphasis on Grothendieck’s contributions. Beware of biographical inaccuracies!

Grothendieck et les motifs (P. Cartier) and Découvrir et transmettre (A. Herreman) (Notes sur l'histoire et la philosophie des mathématiques IV), The first entry in this collection of two independent texts on Grothendieck gives a general and very personal and readable overview of his contribution and approach to mathematics from the beginning. The second is not mathematical, but concerns Grothendieck's relation to the acts of reading, writing, and creation. It is also linked directly in the section on biographical texts.

Alexander Grothendieck (in Italian). An overview of Grothendieck's mathematical contribution by Luca Barbieri Viale.