Biography:Georges Henri Halphen

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Short description: 19th century French mathematician
Georges-Henri Halphen
Georges Henri Halphen.jpg
Born(1844-10-30)30 October 1844
Rouen, France
Died23 May 1889(1889-05-23) (aged 44)
Versailles, France
NationalityFrench
Alma materÉcole Polytechnique
Spouse(s)Rose Marguerite Aron
Scientific career
FieldsMathematics
ThesisSur les invariants différentiels (1878)

Georges-Henri Halphen (French: [ʒɔʀʒ ɑ̃ʁi alfɛn]; 30 October 1844, Rouen – 23 May 1889, Versailles) was a French mathematician. He was known for his work in geometry, particularly in enumerative geometry and the singularity theory of algebraic curves, in algebraic geometry. He also worked on invariant theory and projective differential geometry.[1][2]

Biography

He did his studies at École Polytechnique (X 1862), where he graduated in 1866. He continued his education at École d'Application de l'Artillerie et du Génie de Metz. As a lieutenant of Artillery he was sent Auxonne first and then to Strasbourg.[2] In 1872, Halphen settled in Paris, where he became a lecturer at the École Polytechnique and began his scientific studies. He completed his dissertation in 1878.[3] In 1872 he married Rose Marguerite Aron, with whom he had eight children, four sons and four daughters. Of the four sons, three joined the military and two of them died in World War I. Louis Halphen (1880-1950) was a French historian specialized in medivial times; Charles Halphen (1885-1915), was deputy secretary of the Société mathématique de France. One of his grandsons was Étienne Halphen (1911–1954), who did significant work in applied statistics.[4]

Awards

Georges-Henri Halphen received in the Steiner prize of the Prussian Academy of Sciences in 1880 along with Max Noether. In 1881 Halphen received the Grand Prix of the Académie des sciences for his work on linear differential equations: Mémoire sur la Reduction des Equations Différentielles Linéaires aux Formes Intégrales.[5] He received the Prix Poncelet in 1883[6][7] and the Prix Petit d'Ormoy in 1885.[8] He was elected to the Académie des sciences in 1886 in the Section de Géométrie, replacing the deceased Jean Claude Bouquet.[2] In 1887 Halphen was elected to the Accademia dei Lincei in Rome.[9]

Works

  • Oeuvres de G.H. Halphen, in 4 vols. edited by Camille Jordan, Henri Poincaré, Charles Émile Picard with assistance from Ernest Vessiot, 1916, 1918,[10] 1921,[11] 1924,[12] Paris, France: Gauthier-Villars
  • Traité des fonctions elliptiques et de leurs applications, 3 vols., 1886, 1888, 1891 (in vol. 2 applications to physics, geometry, the theory of integrals, and geodesy; in vol. 3 applications to algebra, especially the quintic equation, number theory — vol. 3 consists merely of fragments)

An overview of Halphen's work is provided by Laurent Gruson[13] and a complete list of the works was compiled by Camille Jordan as part of Halphen's obituary in Journal de Mathématiques Pures et Appliquées.[14]

See also

References

  1. ↑ A History of Mathematics (Fifth ed.), Providence, RI, USA: AMS Chelsea Publishing, 1999, ISBN 0-8218-2102-4  (org. published by Macmillan, 1919)
  2. ↑ 2.0 2.1 2.2 Picard, Émile (1890), "Notice sur la vie et les travaux de Georges-Henri Halphen, Membre de la Section de Géométrie" (in fr), Comptes rendus hebdomadaires des séances de l'Académie des Sciences 110 (N10): 489–497, https://gallica.bnf.fr/ark:/12148/bpt6k30663/f527.image 
  3. ↑ Halphen, George-Henri (1878) (in fr), Sur les invariants différentiels, Paris, France: Gauthier-Villars, https://gallica.bnf.fr/ark:/12148/bpt6k997525/f4.image 
  4. ↑ Layani, Claude (2008), Les Juifs de Picardie, http://www1.alliancefr.com/les-juifs-de-picardie-news40,42,4559.html, retrieved 2019-09-02 
  5. ↑ Hermite, Charles (1881), "Grand Prix de Sciences Mathématiques", Comptes rendus hebdomadaires des séances de l'Académie des Sciences 92: 551–554, https://gallica.bnf.fr/ark:/12148/bpt6k7351t/f550.image 
  6. ↑ Bertrand, Joseph-Luis-François (1884), "Prix Poncelet", Comptes rendus hebdomadaires des séances de l'Académie des Sciences 98: 1091, https://gallica.bnf.fr/ark:/12148/bpt6k30546/f1076.image 
  7. ↑ N., N. (1884), "Scientific News - Prizes given by the French Academy", The American Naturalist 18 (7): 750–752, doi:10.1086/273730 
  8. ↑ Jordan, Camille (1885), "Prix Petit d'Ormoy", Comptes rendus hebdomadaires des séances de l'Académie des Sciences 101: 1401, https://gallica.bnf.fr/ark:/12148/bpt6k30574/f1401.image 
  9. ↑ Poincaré, Henri (1890), "Notice sur Halphen" (in fr), Journal de l'École Polytechnique 60: 137–161, https://gallica.bnf.fr/ark:/12148/bpt6k433715r/f141.image 
  10. ↑ "Review: C. Jordan, H. Poincaré, É. Picard, and E. Vessiot, Oeuvres de G. H. Halphen (Tomes I, II)", Bulletin of the American Mathematical Society 27 (9–10): 466–469, 1921, doi:10.1090/s0002-9904-1921-03474-4, https://www.ams.org/journals/bull/1921-27-09/S0002-9904-1921-03474-4/S0002-9904-1921-03474-4.pdf 
  11. ↑ Carmichael, Robert Daniel (1922), "Review: C. Jordan, H. Poincaré, É. Picard, and E. Vessiot, Oeuvres de G. H. Halphen (Tome III)", Bulletin of the American Mathematical Society 28 (5): 271–272, doi:10.1090/S0002-9904-1922-03546-X, https://www.ams.org/journals/bull/1922-28-05/S0002-9904-1922-03546-X/S0002-9904-1922-03546-X.pdf 
  12. ↑ Carmichael, Robert Daniel (1925), "Review: C. Jordan, H. Poincaré, É. Picard, and E. Vessiot, Oeuvres de G. H. Halphen (Tome IV)", Bulletin of the American Mathematical Society 31 (9): 562–563, doi:10.1090/S0002-9904-1925-04120-8, https://www.ams.org/journals/bull/1925-31-09/S0002-9904-1925-04120-8/S0002-9904-1925-04120-8.pdf 
  13. ↑ Gruson, Laurent (1992), "Un aperçu des travaux mathématiques de G.H. Halphen (1844-1889)", in Ellingsrud, G. (in fr), Complex Projective Geometry, London Math. Soc. Lecture Note Series, 179, pp. 189–198, doi:10.1017/CBO9780511662652.014, ISBN 9780521433525 
  14. ↑ Jordan, Camille (1889), "Georges Halphen" (in fr), Journal de Mathématiques Pures et Appliquées Series 4, 5: 345–359, https://gallica.bnf.fr/ark:/12148/bpt6k9726133n/f351.image 

External links




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