Josip Plemelj

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Josip Plemelj (after 1920)
Tombstone in Bled

Josip Plemelj (born December 11, 1873 near Bled ; † May 22, 1967 in Ljubljana ) was a Slovenian mathematician and university professor .

Life

Plemelj grew up in poor conditions. His mathematical talent was recognized early and he was given a good education. From 1894 to 1898 he studied at the University of Vienna , where he at Gustav von Escherich to Dr. phil. PhD . He then went to the Friedrich-Wilhelms-Universität Berlin and the Georg-August-Universität Göttingen .

Habilitated in Vienna in 1902 , he taught as a private lecturer . In 1907 he received a professorship at the Franz Joseph University in Chernivtsi . He was expelled from there in 1917 during the First World War .

In 1919 Plemelj became the first rector of the reopened University of Ljubljana , whose expansion into a Slovenian university was an important task in the early years of the new Kingdom of Serbs, Croats and Slovenes . He worked there as a mathematics professor until his retirement in 1957 at the age of 83. In the course of his career he has received numerous awards, including the Richard Lieben Prize , admission to the Yugoslav, Slovenian and Bavarian Academy of Sciences (1954) and an honorary doctorate from the University of Ljubljana.

Plemelj mainly worked in the field of differential and integral equations. At the suggestion of David Hilbert in Göttingen, he was one of the first to make important advances in the theory of the Fredholm operators . His name is also associated with the Plemelj-Sokhotsky formulas that play a role in various applications of singular integral equations. Plemelj's particularly elegant proof of the Fermat conjecture in the case of n = 5 is also worth mentioning .

His alleged solution to Hilbert's 21st problem was refuted in 1989 by Andrei Andrejewitsch Bolibruch . At that time, Plemelj himself had proven that Ludwig Schlesinger's attempted solution was incomplete.

Individual evidence

  1. Dissertation: About linear homogeneous differential equations with unique periodic coefficients
  2. ^ Plemelj in the Mathematics Genealogy Project
  3. Plemelj Riemann set of functions with a given monodromic group , monthly for mathematics and physics, 1908, pp. 11–245.
  4. ^ Annual report of the German Mathematicians Association, Vol. 18 (1909), pp. 15, 340.