Jean-Pierre Serre
Jean-Pierre Serre | |
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 Serre in 2003 | |
| Born | 15 September 1926 Bages, Pyrénées-Orientales, France |
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| Known for | List of things named after Jean-Pierre Serre |
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| Scientific career | |
| Fields | Mathematics |
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| Thesis | Homologie singulière des espaces fibrés (1951) |
| Doctoral advisor | Henri Cartan |
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Jean-Pierre Serre (French: [sɛʁ]; born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.
Biography
Personal life
Born in
Career
From a very young age he was an outstanding figure in the school of
In his speech at the Fields Medal award ceremony in 1954, Hermann Weyl gave high praise to Serre, and also made the point that the award was for the first time awarded to a non-analyst. Serre subsequently changed his research focus.
Algebraic geometry
In the 1950s and 1960s, a fruitful collaboration between Serre and the two-years-younger
Even at an early stage in his work Serre had perceived a need to construct more general and refined
Around 1958 Serre suggested that isotrivial principal bundles on algebraic varieties – those that become trivial after pullback by a finite
Other work
From 1959 onward Serre's interests turned towards group theory, number theory, in particular Galois representations and modular forms.
Amongst his most original contributions were: his "
In his paper FAC,[3] Serre asked whether a finitely generated projective module over a polynomial ring is free. This question led to a great deal of activity in commutative algebra, and was finally answered in the affirmative by Daniel Quillen and Andrei Suslin independently in 1976. This result is now known as the Quillen–Suslin theorem.
Honors and awards
Serre, at twenty-seven in 1954, was and still is the youngest person ever to have been awarded the
He is a foreign member of several scientific Academies (US, Norway, Sweden, Russia, the Royal Society, Royal Netherlands Academy of Arts and Sciences (1978),[6] American Academy of Arts and Sciences,[7] National Academy of Sciences,[8] the American Philosophical Society[9]) and has received many honorary degrees (from Cambridge, Oxford, Harvard, Oslo and others). In 2012 he became a fellow of the American Mathematical Society.[10]
Serre has been awarded the highest honors in France as Grand Cross of the Legion of Honour (Grand Croix de la Légion d'Honneur) and Grand Cross of the Legion of Merit (Grand Croix de l'Ordre National du Mérite).
See also
- Multiplicity (mathematics)
- Bourbaki group— Serre joined it in the late 1940s
Bibliography
- Groupes Algébriques et Corps de Classes (1959), Hermann ISBN 9782705612641, translated into English as
- Algebraic Groups and Class Fields. Graduate Texts in Mathematics. Vol. 117. 1988. ISBN 978-1-4612-6993-9.
- Algebraic Groups and Class Fields. Graduate Texts in Mathematics. Vol. 117. 1988.
- Corps Locaux (1962), Hermann ISBN 9782705612962, as
- Local Fields. Graduate Texts in Mathematics. Vol. 67. 1979. ISBN 978-1-4757-5675-3.
- Local Fields. Graduate Texts in Mathematics. Vol. 67. 1979.
- Cohomologie Galoisienne (1964) Collège de France course 1962–63, as
- Galois Cohomology. Springer Monographs in Mathematics. 1997. ISBN 978-3-540-42192-4.
- Galois Cohomology. Springer Monographs in Mathematics. 1997.
- Algèbre Locale, Multiplicités (1965) Collège de France course 1957–58, as
- Local Algebra. Springer Monographs in Mathematics. 2000. ISBN 978-3-642-08590-1.
- Local Algebra. Springer Monographs in Mathematics. 2000.
- Lie Algebras and Lie Groups. Lecture Notes in Mathematics. Vol. 1500. 1992. ISBN 978-3-540-55008-2.
- Algèbres de Lie Semi-simples Complexes (1966), as
- Serre, Jean-Pierre (1987). Complex Semisimple Lie Algebras. ISBN 978-0-387-96569-7.
- Serre, Jean-Pierre (1987). Complex Semisimple Lie Algebras.
- Abelian ℓ-Adic Representations and Elliptic Curves (1968), reissue, Serre, Jean-Pierre (1997). Abelian ℓ-Adic Representations and Elliptic Curves. ISBN 9780429063015.[11]
- Cours d'arithmétique (1970), PUF, as
- A Course in Arithmetic. Graduate Texts in Mathematics. Vol. 7. 1973. ISBN 978-0-387-90041-4.
- A Course in Arithmetic. Graduate Texts in Mathematics. Vol. 7. 1973.
- Représentations linéaires des groupes finis (1971), Hermann, as
- Linear Representations of Finite Groups. Graduate Texts in Mathematics. Vol. 42. 1977. ISBN 978-1-4684-9460-0.[12]
- Linear Representations of Finite Groups. Graduate Texts in Mathematics. Vol. 42. 1977.
- Arbres, amalgames, SL2 (1977), SMF, as
- Serre, Jean-Pierre (1980). Trees. ISBN 978-3-642-61858-1.[13]
- Serre, Jean-Pierre (1980). Trees.
- Oeuvres/Collected Papers in four volumes (1986) Vol. IV in 2000, Springer-Verlag
- Serre, Jean-Pierre (2 December 2013). Oeuvres - Collected Papers I: 1949 - 1959. ISBN 978-3-642-39815-5.
- Serre, Jean-Pierre (4 December 2013). Oeuvres - Collected Papers II: 1960 - 1971. ISBN 978-3-642-37725-9.
- Serre, Jean-Pierre (14 April 2014). Oeuvres - Collected Papers III: 1972 - 1984. ISBN 978-3-642-39837-7.
- Serre, Jean-Pierre (19 December 2013). Oeuvres - Collected Papers IV: 1985 - 1998. ISBN 978-3-642-39839-1.
- Serre, Jean-Pierre (2 December 2013). Oeuvres - Collected Papers I: 1949 - 1959.
- Lectures on the Mordell-Weil Theorem. Aspects of Mathematics. Vol. 15. 1997. ISBN 978-3-663-10634-0.
- Serre, Jean-Pierre (2016). Topics in Galois Theory. ISBN 9780429064401.[14]
- Exposés de séminaires 1950–1999 (2001), SMF, ISBN 9782856292426
- Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre (2003). Cohomological Invariants in Galois Cohomology. ISBN 978-1-4704-2174-8.
- Grothendieck, Alexandre; Colmez, Pierre (2004). Grothendieck-Serre Correspondence. ISBN 978-0-8218-3424-4.
- Serre, Jean-Pierre (2016). Lectures on N_X(p). ISBN 9780429067617.
- Correspondance Serre-Tate (2015), edited with ISBN 9782856298022
- Finite Groups: an Introduction (2016), Higher Education Press & International Press, ISBN 9781571463272
- Rational Points on Curves over Finite Fields (2020), with contributions by ISBN 9782856299234
A list of corrections, and updating, of these books can be found on his home page at Collège de France.
Notes
- ^ J J O'Connor and E F Robertson Serre Biography http://www-history.mcs.st-andrews.ac.uk/Biographies/Serre.html
- .
- ^ JSTOR 1969915.
- MR 0082175
- ^ (in French) http://www.math.u-psud.fr/~illusie/Grothendieck_etale.pdf
- ^ "J.-P. Serre". Royal Netherlands Academy of Arts and Sciences. Archived from the original on 5 March 2016. Retrieved 4 August 2015.
- ^ "Jean-Pierre Serre". American Academy of Arts & Sciences. Retrieved 2 December 2021.
- ^ "Jean-Pierre Serre". www.nasonline.org. Retrieved 2 December 2021.
- ^ "APS Member History". search.amphilsoc.org. Retrieved 2 December 2021.
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-07-18.
- .
- .
- .
- .
External links
- O'Connor, John J.; Robertson, Edmund F., "Jean-Pierre Serre", MacTutor History of Mathematics Archive, University of St Andrews
- Jean-Pierre Serre at the Mathematics Genealogy Project
- Jean-Pierre Serre, Collège de France, biography and publications.
- Jean-Pierre Serre Archived 11 June 2007 at the Wayback Machine at the French Academy of Sciences, in French.
- Interview with Jean-Pierre Serre in Notices of the American Mathematical Society.
- An Interview with Jean-Pierre Serre by C.T. Chong and Y.K. Leong, National University of Singapore.
- How to write mathematics badly a public lecture by Jean-Pierre Serre on writing mathematics.
- Biographical page Archived 11 June 2007 at the Wayback Machine (in French)
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