Lucien Szpiro

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Lucien Szpiro
Prix Doistau–Blutel (1987)
Fellow of the American Mathematical Society (2012)
Member of the Academia Europaea
Scientific career
FieldsMathematics
InstitutionsCUNY Graduate Center
French National Centre for Scientific Research
Doctoral advisorPierre Samuel
Doctoral studentsAhmed Abbes
Emmanuel Ullmo
Shou-Wu Zhang

Lucien Szpiro (23 December 1941 – 18 April 2020) was a French mathematician known for his work in number theory, arithmetic geometry, and commutative algebra. He formulated Szpiro's conjecture and was a Distinguished Professor at the CUNY Graduate Center and an emeritus Director of Research [fr] at the French National Centre for Scientific Research.

Early life and education

Lucien Szpiro was born on 23 December 1941 in Paris, France.[1] Szpiro attended Paris-Sud University where he earned his Doctor of Philosophy under Pierre Samuel.[1][2] His doctoral work was heavily influenced by the seminars of Maurice Auslander, Claude Chevalley, and Alexander Grothendieck.[1] He earned his Doctorat d'État (DrE) in 1971.[1]

Career

From 1963 to 1965, Szpiro worked as an assistant high school teacher in Paris.[1][3] From 1965 to 1969, he was an assistant professor (maître assistant) at the University of Paris.[1][3] From 1969 to 1999, Szpiro worked at the CNRS, initially as an attaché at Paris Diderot University before rising to the rank of a distinguished professor (Directeur de Recherche de Classe Exceptionnelle) at Paris-Sud University.[3] In 1999, he became an emeritus professor (Directeur de Recherche émérite) at the CNRS and moved to the CUNY Graduate Center as a Distinguished Professor.[1][3][4] He also held visiting positions at several institutions including Columbia University and the Institute for Advanced Study.[3][5]

Szpiro was the editor-in-chief of Astérisque from 1991 to 1993 and an editor of the Bulletin de la Société Mathématique de France from 1984 to 1990.[1] He was also head of the commission that oversaw the Société mathématique de France libraries.[6]

Szpiro advised 17 doctoral students, including Ahmed Abbes, Emmanuel Ullmo, and Shou-Wu Zhang.[1][2]

Research

In the 1970s, Szpiro's research in commutative algebra led to his proof of the Auslander zero divisor conjecture.[7] Together with Christian Peskine, he developed the liaison theory of algebraic varieties.[7]

In the 1980s, Szpiro's research interests shifted to Diophantine geometry, first over

dualising sheaf of a curve and the Bogomolov conjecture.[7]

In 1981, Szpiro formulated a conjecture (now known as Szpiro's conjecture) relating the discriminant of an

Dorian Goldfeld,[11] in part to its large number of consequences in number theory including Roth's theorem, the Mordell conjecture, the Fermat–Catalan conjecture, and Brocard's problem.[12][13][14][15]

After moving to the CUNY Graduate Center in 1999, Szpiro began working on new research in

Awards

In 1987, Szpiro received the

Death

Szpiro died on 18 April 2020 in Paris, France, from cardiac arrest.[17][7]

Selected publications

References

  1. ^ a b c d e f g h i "Curriculum Vitae" (PDF). 2010. Archived from the original (PDF) on 6 December 2021. Retrieved 19 April 2020.
  2. ^ a b Lucien Szpiro at the Mathematics Genealogy Project
  3. ^ a b c d e f "Lucien Szpiro". Academia Europaea. Retrieved 18 April 2020.
  4. ^
    Graduate Center, CUNY
    . Retrieved 18 April 2020.
  5. ^ "Lucien Szpiro". Institute for Advanced Study. 9 December 2019. Retrieved 19 April 2020.
  6. ^ "Un réseau de biblithèques spécialisées: le réseau des bibliothèques de mathematiques" (PDF). École Nationale Supérieure des Sciences de l'Information et des Bibliothèques (in French). 1992. Retrieved 19 April 2020. Lucien Szpiro, responsable de la commission des bibliothèques de la SMF, estime que le cout de l'operation serait de 100 000 francs par an pour un reseau ne contenant que des listes de livres et de preprints.
  7. ^
    Institut des hautes études scientifiques
    . 20 April 2020. Retrieved 21 December 2020.
  8. .
  9. ..
  10. .
  11. .
  12. ^ Bombieri, Enrico (1994). "Roth's theorem and the abc-conjecture". Preprint. ETH Zürich.
  13. .
  14. ^ Pomerance, Carl (2008). "Computational Number Theory". The Princeton Companion to Mathematics. Princeton University Press. pp. 361–362.
  15. .
  16. ^ List of Fellows of the American Mathematical Society, retrieved 5 August 2013.
  17. ^ "Lucien Szpiro 1941–2020 | Not Even Wrong".

External links