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Georges Henri Halphen

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]

Georges-Henri Halphen
Born(1844-10-30)30 October 1844
Rouen, France
Died23 May 1889(1889-05-23) (aged 44)
Versailles, France
NationalityFrench
Alma materÉcole Polytechnique
SpouseRose Marguerite Aron
Scientific career
FieldsMathematics
ThesisSur les invariants différentiels (1878)

Biography edit

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 edit

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 edit

  • 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 edit

References edit

  1. ^ Cajori, Florian (1999), A History of Mathematics (Fifth ed.), Providence, RI, USA: AMS Chelsea Publishing, ISBN 0-8218-2102-4 (org. published by Macmillan, 1919)
  2. ^ a b c Picard, Émile (1890), "Notice sur la vie et les travaux de Georges-Henri Halphen, Membre de la Section de Géométrie" [Notice on the life and works of Georges-Henri Halphen, Member of the Geometry Section], Comptes rendus hebdomadaires des séances de l'Académie des Sciences (in French), 110 (N10): 489–497
  3. ^ Halphen, George-Henri (1878), Sur les invariants différentiels [On differential invariants] (in French), Paris, France: Gauthier-Villars
  4. ^ Layani, Claude (2008), "Les Juifs de Picardie", Alliancefr.com, 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
  6. ^ Bertrand, Joseph-Luis-François (1884), "Prix Poncelet", Comptes rendus hebdomadaires des séances de l'Académie des Sciences, 98: 1091
  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
  9. ^ Poincaré, Henri (1890), "Notice sur Halphen" [Note on Halphen], Journal de l'École Polytechnique (in French), 60: 137–161
  10. ^ Carmichael, Robert Daniel (1921), "Review: C. Jordan, H. Poincaré, É. Picard, and E. Vessiot, Oeuvres de G. H. Halphen (Tomes I, II)" (PDF), Bulletin of the American Mathematical Society, 27 (9–10): 466–469, doi:10.1090/s0002-9904-1921-03474-4
  11. ^ Carmichael, Robert Daniel (1922), "Review: C. Jordan, H. Poincaré, É. Picard, and E. Vessiot, Oeuvres de G. H. Halphen (Tome III)" (PDF), Bulletin of the American Mathematical Society, 28 (5): 271–272, doi:10.1090/S0002-9904-1922-03546-X
  12. ^ Carmichael, Robert Daniel (1925), "Review: C. Jordan, H. Poincaré, É. Picard, and E. Vessiot, Oeuvres de G. H. Halphen (Tome IV)" (PDF), Bulletin of the American Mathematical Society, 31 (9): 562–563, doi:10.1090/S0002-9904-1925-04120-8
  13. ^ Gruson, Laurent (1992), "Un aperçu des travaux mathématiques de G.H. Halphen (1844-1889)" [An overview of the mathematical work of G.H. Halphen (1844-1889)], in Ellingsrud, G.; Peskine, C.; Stromme, S.A. (eds.), Complex Projective Geometry, London Math. Soc. Lecture Note Series (in French), vol. 179, pp. 189–198, doi:10.1017/CBO9780511662652.014, ISBN 9780521433525
  14. ^ Jordan, Camille (1889), "Georges Halphen", Journal de Mathématiques Pures et Appliquées (in French), Series 4, 5: 345–359

External links edit

  • Jewish Encyclopedia
  • A few of Halphen's works available online


georges, henri, halphen, georges, henri, halphen, french, ʒɔʀʒ, alfɛn, october, 1844, rouen, 1889, versailles, french, mathematician, known, work, geometry, particularly, enumerative, geometry, singularity, theory, algebraic, curves, algebraic, geometry, also,. Georges Henri Halphen French ʒɔʀʒ ɑ ʁi 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 Georges Henri HalphenBorn 1844 10 30 30 October 1844Rouen FranceDied23 May 1889 1889 05 23 aged 44 Versailles FranceNationalityFrenchAlma materEcole PolytechniqueSpouseRose Marguerite AronScientific careerFieldsMathematicsThesisSur les invariants differentiels 1878 Contents 1 Biography 2 Awards 3 Works 4 See also 5 References 6 External linksBiography editHe did his studies at Ecole Polytechnique X 1862 where he graduated in 1866 He continued his education at Ecole d Application de l Artillerie et du Genie 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 Ecole 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 Societe mathematique de France One of his grandsons was Etienne Halphen 1911 1954 who did significant work in applied statistics 4 Awards editGeorges 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 Academie des sciences for his work on linear differential equations Memoire sur la Reduction des Equations Differentielles Lineaires aux Formes Integrales 5 He received the Prix Poncelet in 1883 6 7 and the Prix Petit d Ormoy in 1885 8 He was elected to the Academie des sciences in 1886 in the Section de Geometrie replacing the deceased Jean Claude Bouquet 2 In 1887 Halphen was elected to the Accademia dei Lincei in Rome 9 Works editOeuvres de G H Halphen in 4 vols edited by Camille Jordan Henri Poincare Charles Emile Picard with assistance from Ernest Vessiot 1916 1918 10 1921 11 1924 12 Paris France Gauthier Villars Traite 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 Mathematiques Pures et Appliquees 14 See also editBezout s theorem Cramer s paradoxReferences edit Cajori Florian 1999 A History of Mathematics Fifth ed Providence RI USA AMS Chelsea Publishing ISBN 0 8218 2102 4 org published by Macmillan 1919 a b c Picard Emile 1890 Notice sur la vie et les travaux de Georges Henri Halphen Membre de la Section de Geometrie Notice on the life and works of Georges Henri Halphen Member of the Geometry Section Comptes rendus hebdomadaires des seances de l Academie des Sciences in French 110 N10 489 497 Halphen George Henri 1878 Sur les invariants differentiels On differential invariants in French Paris France Gauthier Villars Layani Claude 2008 Les Juifs de Picardie Alliancefr com retrieved 2019 09 02 Hermite Charles 1881 Grand Prix de Sciences Mathematiques Comptes rendus hebdomadaires des seances de l Academie des Sciences 92 551 554 Bertrand Joseph Luis Francois 1884 Prix Poncelet Comptes rendus hebdomadaires des seances de l Academie des Sciences 98 1091 N N 1884 Scientific News Prizes given by the French Academy The American Naturalist 18 7 750 752 doi 10 1086 273730 Jordan Camille 1885 Prix Petit d Ormoy Comptes rendus hebdomadaires des seances de l Academie des Sciences 101 1401 Poincare Henri 1890 Notice sur Halphen Note on Halphen Journal de l Ecole Polytechnique in French 60 137 161 Carmichael Robert Daniel 1921 Review C Jordan H Poincare E Picard and E Vessiot Oeuvres de G H Halphen Tomes I II PDF Bulletin of the American Mathematical Society 27 9 10 466 469 doi 10 1090 s0002 9904 1921 03474 4 Carmichael Robert Daniel 1922 Review C Jordan H Poincare E Picard and E Vessiot Oeuvres de G H Halphen Tome III PDF Bulletin of the American Mathematical Society 28 5 271 272 doi 10 1090 S0002 9904 1922 03546 X Carmichael Robert Daniel 1925 Review C Jordan H Poincare E Picard and E Vessiot Oeuvres de G H Halphen Tome IV PDF Bulletin of the American Mathematical Society 31 9 562 563 doi 10 1090 S0002 9904 1925 04120 8 Gruson Laurent 1992 Un apercu des travaux mathematiques de G H Halphen 1844 1889 An overview of the mathematical work of G H Halphen 1844 1889 in Ellingsrud G Peskine C Stromme S A eds Complex Projective Geometry London Math Soc Lecture Note Series in French vol 179 pp 189 198 doi 10 1017 CBO9780511662652 014 ISBN 9780521433525 Jordan Camille 1889 Georges Halphen Journal de Mathematiques Pures et Appliquees in French Series 4 5 345 359External links editJewish Encyclopedia French Biography on the Universite de Rouen site A few of Halphen s works available online nbsp This article about a French mathematician is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Georges Henri Halphen amp oldid 1170976721, wikipedia, wiki, book, books, library,

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