a person in the record
Hans-Joachim Arnold
German mathematician1932 to 2006
Wikidata names Emanuel Sperner and Erich Kähler as doctoral advisors and lists 18 doctoral students. Linked to Wikidata, Mathematics Genealogy Project, and 4 other registers.

How to read the markscited by a repository's recordstated by Wikidata or indexed by OpenAlexclaimed on an ORCID list, or inferred
Advisors on Wikidata2
From Wikidata, shown separately from the thesis records.
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Students on Wikidata18
From Wikidata, shown separately from the thesis records.
- stated by Wikidataborn 1909
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The line above and below4 steps
The advisors of their advisors, four steps up at most, in the thesis records and on Wikidata, each kind marked; a person in both is listed once.
- 1 step up
stated by WikidataEmanuel Spernerstated by WikidataErich Kähler
- 2 steps up
stated by WikidataLeon Lichtensteinstated by WikidataOtto Schreierstated by WikidataWilhelm Blaschke
- 3 steps up
stated by WikidataEmil Artinstated by WikidataFriedrich Schottkystated by WikidataHermann Schwarzstated by WikidataPhilipp Furtwänglerstated by WikidataWilhelm Wirtinger
- 4 steps up
stated by WikidataEmil Weyrstated by WikidataErnst Kummerstated by WikidataFelix Kleinstated by WikidataGustav Herglotzstated by WikidataGustav von Escherichstated by WikidataHermann von Helmholtzstated by WikidataKarl Weierstraßstated by WikidataOtto Hölder
Below them, within 3 steps, the record reaches 18 people: 18 stated by Wikidata.
Education and career1
From Wikidata, shown separately from the thesis records. Each place opens its Wikidata item.
- undatedstudied