This book presents several basic techniques in algebraic geometry, group representations, number theory, l-adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family…

Reproduces J-P Serre’s 1964 Harvard lectures. This book aims to introduce the reader to the Lie dictionary: Lie algebras and Lie groups . It provides emphasis on formal groups (in…

Covers various articles published in mathematical journals between 1949 and 1984, the summaries of the author’s courses at the College de France since 1956, and some of his Seminaire notes.

These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The last chapter discusses the connection between Lie…

These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The last chapter discusses the connection between Lie…

From the Preface: There are three volumes. The first one contains a curriculum vitae, a Breve Analyse des Travaux and a Iist of publications, including books and seminars. In addition…

Basic techniques in Diophantine geometry are covered, such as heights, the Mordell-Weil theorem, Siegel’s and Baker’s theorems, Hilbert’s irreducibility theorem, and the large sieve. Included are applications to, for example…