Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript by Chevalley, of pre-war vintage (forgotten, that is to say, both by me and by its author) which, to my taste at least, seemed to have aged very well. The first part of this volume is based on a course taught at Princeton University in 1961-62 at that time, an excellent set of notes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes.

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Photograph by kind permission of Lucien GilletĮlP data applied for This work is subject to copyright. Mathematics Subject Classification (1991): llR Grundlehren der mathematischen Wissenschaften Bourbaki, the highly influential multivolume treatise Elements de mathematique.Ĭlassics in Mathematics Andre Weil Basic Number Theoryīasic Number Theory Reprint of the 1974 EditionĪndre Wei! Institute for Advanced Study Princeton. Weil was one of the founders, around 1934, of the group that published, under the collective name of N. A great deal of his work was directed towards establishing the links between number theory and algebraic geometry and devising modern methods in analytic number theory. Andre Weil's work laid the foundation for abstract algebraic geometry and the modern theory of abelian varieties. After studying mathematics at the Ecole Normale Superieure and receiving a doctoral degree from the University of Paris in 1928, he held professorial positions in India, France, the United States and Brazil before being appointed to the Institute for Advanced Study, Princeton in 1958 where he is now Professor Emeritus.

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