Michel Raynaud
Born(1938-06-16)16 June 1938
Riom, France
Died10 March 2018(2018-03-10) (aged 79)
Rueil-Malmaison, France
NationalityFrench
Alma materParis-Sud 11 University
Known forAbhyankar's conjecture
Manin–Mumford conjecture
Raynaud surface
Raynaud's isogeny theorem
AwardsCole Prize (1995)
Prize Ampère (1987)
Scientific career
FieldsMathematics
InstitutionsParis-Sud 11 University
Doctoral advisorAlexander Grothendieck

Michel Raynaud (French: [ʁɛno]; 16 June 1938 – 10 March 2018[1]) was a French mathematician working in algebraic geometry[2] and a professor at Paris-Sud 11 University.

Early life and education

He was born in Riom, France as a single son to a modest household. His father was a carpenter and his mother cleaned houses.[3] He attended the local primary school at Châtel Guyon and Riom, and attended high school at the boarding school in Clermont-Ferrand.[3]

Raynaud entered the École normale supérieur where he studied from 1958 to 1962, while being first of the class in the "agrégation" exam where the new high school teachers were selected in 1961.[3] In 1962, he entered the French National Centre for Scientific Research where he studied together with his future wife Michèle Chaumartin. Both had the same doctoral advisor in Alexander Grothendieck. Raynaud received his doctoral degree in 1967.[3]

Career

Raynaud was hired as professor at the Orsay Faculty of Sciences in Paris where he was a employed until 2001, when he retired.[3]

Raynaud died on 10 March 2018 in Rueil-Malmaison, France.[1]

Research

In 1983, Raynaud published a proof of the Manin–Mumford conjecture.[4] In 1985, he proved Raynaud's isogeny theorem on Faltings heights of isogenous elliptic curves.[5] With David Harbater and following the work of Jean-Pierre Serre, Raynaud proved Abhyankar's conjecture in 1994.[6][7][8]

The Raynaud surface was named after him by William E. Lang in 1979.[9][10]

Honors and awards

In 1970 Raynaud was an invited speaker at the International Congress of Mathematicians in Nice. In 1987 he received the Prize Ampère from the French Academy of Sciences. In 1995 he received the Cole Prize, together with David Harbater, for his solution of the Abhyankar conjecture.[3]

Personal life

He practiced skiing (especially in Val-d'Isère), tennis, and rock climbing (in Fontainebleau).[2] He was married to the mathematician Michèle Raynaud (née Chaumartin)[3] who also worked with Alexander Grothendieck.

References

  1. ^ a b Décès de Michel Raynaud. Société Mathématique de France.
  2. ^ a b Gassiat, Elisabeth (March 2018). "Décès de Michel Raynaud". Société Mathématique de France (in French). Retrieved 2018-03-14.
  3. ^ a b c d e f g Illusie, Luc (2019). "Michel Raynaud (1938–2018)" (PDF). Notices of the American Mathematical Society. 66 (1). doi:10.1090/noti1764. S2CID 125558400. Retrieved 18 August 2020.
  4. ^ Raynaud, Michel (1983). "Sous-variétés d'une variété abélienne et points de torsion". In Artin, Michael; Tate, John (eds.). Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic. Progress in Mathematics (in French). Vol. 35. Boston, MA: Birkhäuser Boston. pp. 327–352. MR 0717600. Zbl 0581.14031.
  5. ^ Raynaud, Michel (1985). "Hauteurs et isogénies" [Heights and isogenies]. In Szpiro, Lucien (ed.). Séminaire sur les pinceaux arithmétiques: la conjecture de Mordell [Seminar on arithmetic pencils: the Mordell conjecture] (in French). Paris: Société Mathématique de France. pp. 199–234. ISSN 0303-1179. MR 0801923. Zbl 1182.14049. ((cite book)): |journal= ignored (help)
  6. ^ Raynaud, Michel (1994). "Revêtements de la droite affine en caractéristique p > 0". Inventiones Mathematicae. 116 (1): 425–462. Bibcode:1994InMat.116..425R. doi:10.1007/BF01231568. S2CID 122286118. Zbl 0798.14013..
  7. ^ Harbater, David (1994). "Abhyankar's conjecture on Galois groups over curves". Inventiones Mathematicae. 117 (1): 1–25. Bibcode:1994InMat.117....1H. doi:10.1007/BF01232232. S2CID 121690794. Zbl 0805.14014..
  8. ^ Fried, Michael D.; Jarden, Moshe (2008). Field arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Vol. 11 (3rd ed.). Springer-Verlag. p. 70. ISBN 978-3-540-77269-9. Zbl 1145.12001.
  9. ^ Lang, William E. (1979). "Quasi-elliptic surfaces in characteristic three". Annales Scientifiques de l'École Normale Supérieure. Série 4. 12 (4): 473–500. doi:10.24033/asens.1373. ISSN 0012-9593. MR 0565468.
  10. ^ Lang, William E. (1983). "Examples of surfaces of general type with vector fields". Arithmetic and geometry, Vol. II. Progress in Mathematics. Vol. 36. Boston, MA: Birkhäuser Boston. pp. 167–173. MR 0717611.

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