Abstract
For more than five decades, the mathematical contributions of Jean-Pierre Serre have played an essential role in the development of several areas of mathematics. The present paper aims to provide an overview of his work. The selected references include his books, most of the papers collected in his Œuvres, as well as some of his more recent publications.
Research supported in part by MTM2006-04895.
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References
Serre, J.-P.: Œuvres, Collected Papers, vol. I (1949–1959), vol. II (1960–1971), vol. III (1972–1984); vol. IV (1985–1998). Springer, Berlin (1986; 2000)
Serre, J.-P.: Groupes algébriques et corps de classes. Hermann, Paris (1959); 2nd edn. 1975 [translated into English and Russian]
Serre, J.-P.: Corps locaux. Hermann, Paris (1962); 4th edn. 2004 [translated into English]
Serre, J.-P.: Cohomologie galoisienne. LNM, vol. 5. Springer, Berlin (1964); 5th edn. revised and completed 1994 [translated into English and Russian]
Serre, J.-P.: Lie Algebras and Lie Groups. Benjamin, New York (1965); 2nd edn. LNM, vol. 1500. Springer, Berlin, 1992 [translated into Russian]
Serre, J.-P.: Algèbre locale. Multiplicités. LNM, vol. 11. Springer, Berlin (1965); written with the help of P. Gabriel; 3rd edn. 1975 [translated into English and Russian]
Serre, J.-P.: Algèbres de Lie semi-simples complexes. Benjamin, New York (1966) [translated into English and Russian]
Serre, J.-P.: Représentations linéaires des groupes finis. Hermann, Paris (1967) [translated into English, German, Japanese, Polish, Russian and Spanish]
Serre, J.-P.: Abelian l-adic Representations and Elliptic Curves. Benjamin, New York (1968), written with the help of W. Kuyk and J. Labute; 2nd edn. A.K. Peters, 1998 [translated into Japanese and Russian]
Serre, J.-P.: Cours d’arithmétique. Presses Univ. France, Paris (1970); 4th edn. 1995 [translated into Chinese, English, Japanese and Russian]
Serre, J.-P.: Arbres, amalgames, SL2. Astérisque, vol. 46. Soc. Math. France, Paris (1977), written with the help of H. Bass; 3rd edn. 1983 [translated into English and Russian]
Serre, J.-P.: Lectures on the Mordell–Weil Theorem. Vieweg, Wiesbaden (1989); 3rd edn. 1997, translated and edited by Martin Brown from notes of M. Waldschmidt. French edition: Publ. Math. Univ. Pierre et Marie Curie, 1984
Serre, J.-P.: Topics in Galois Theory. Jones & Bartlett, Boston (1992), written with the help of H. Darmon; 2nd edn., AK Peters, 2008
Serre, J.-P.: Exposés de séminaires (1950–1999). Documents Mathématiques (Paris), vol. 1. Soc. Math. France, Paris (2001); 2nd edn., augmented, 2008
Colmez, P., Serre, J.-P. (eds.): Correspondance Grothendieck–Serre. Documents Mathématiques (Paris), vol. 2. Soc. Math. France, Paris (2001); bilingual edn., AMS, 2004
Garibaldi, S., Merkurjev, A., Serre, J.-P.: Cohomological Invariants in Galois Cohomology. Univ. Lect. Ser., vol. 28. Am. Math. Soc., Providence (2003)
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Bayer, P. (2010). Jean-Pierre Serre: An Overview of His Work. In: Holden, H., Piene, R. (eds) The Abel Prize. The Abel Prize. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01373-7_4
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DOI: https://doi.org/10.1007/978-3-642-01373-7_4
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