Puneet Varma (Editor)

Ernst Kötter

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Fields
  
Mathematician

Field
  
Mathematician

Born
  
August 7, 1859 Berlin (
1859-08-07
)

Residence
  
Berlin, Aachen (Germany)

Thesis
  
Zur Theorie der Osculationen bei ebenen Curven 3. Ordnung (1884)

Notable awards
  
Price of the Berlin Royal Academy, 1886

Died
  
26 January 1922, Aachen, Germany

Alma mater
  
Humboldt University of Berlin

Academic advisors
  
Karl Weierstrass, Leopold Kronecker

Ernst Kötter was a German mathematician who graduated in 1884 from Berlin University. His treatise "Fundamentals of a purely geometrical theory of algebraic plane curves" gained the 1886 prize of the Berlin Royal Academy. In 1901, he published his report on "The development of synthetic geometry from Monge to Staudt (1847)"; it had been sent to the press as early as 1897, but completion was deferred by Kötter's appointment to Aachen University and a subsequent persisting illness. He constructed a mobile wood model to illustrate the theorems of Dandelin spheres.

In a discussion with Schoenflies and Kötter, Hilbert reportedly uttered his famous quotation according to which points, lines, and planes in geometry could be named as well "tables, chairs, and beer mugs".

Publications

  • Ernst Kötter (Jun 1884). Beiträge zur Theorie der Osculationen bei ebenen Curven dritter Ordnung (PDF) (Ph.D.). Friedrich-Wilhelms-Universität Berlin. 
  • Ernst Kötter (1887). "Grundzüge einer rein geometrischen Theorie der algebraischen ebenen Kurven". Transactions of the Royal Academy of Berlin. 
  • Ernst Kötter (Oct 1888). "Die Hesse'sche Curve in rein geometrischer Behandlung" (PDF). Mathematische Annalen. 34: 123–149. doi:10.1007/bf01446793. 
  • Ernst Kötter (1891). "Einige Hauptsätze aus der Lehre von den Curven dritter Ordnung". Mathematische Annalen. 38: 287–297. doi:10.1007/bf01199255. 
  • Ernst Kötter (1892). "Ueber diejenigen Polyeder, die bei gegebener Gattung und gegebenem Volumen die kleinste Oberfläche besitzen. Erste Abhandlung.". Journal für die reine und angewandte Mathematik. 110: 198–229. 
  • Ernst Kötter (1900). "Construction der Oberfläche zweiter Ordnung, welche neun gegebene Punkte enthält". Jahresbericht der Deutschen Mathematiker-Vereinigung: 99–102. 
  • References

    Ernst Kötter Wikipedia