Karl Apfelbacher

German mathematician
Person human Q6371572
Press Enter · cited answer in seconds

Karl Apfelbacher

Summary

Karl Apfelbacher is a human[1]. He worked as a mathematician[2]. He ranks in the top 0.73% of human entities by monthly Wikipedia readership (1 views/month, #7,300 of 1,000,298).[3]

Key Facts

  • Karl Apfelbacher held citizenship in Germany[4].
  • Karl Apfelbacher's professions included mathematician[2].
  • Karl Apfelbacher's education included a stint at Ludwig-Maximilians-Universität München[5].
  • Karl Apfelbacher's doctoral advisor was Arnold Sommerfeld[6].
  • Karl Apfelbacher's doctoral advisor was Heinrich Franz Friedrich Tietze[7].
  • Karl Apfelbacher is recorded as male[8].
  • Karl Apfelbacher's instance of is recorded as human[9].
  • Karl Apfelbacher's Mathematics Genealogy Project ID is recorded as 62147[10].
  • Karl Apfelbacher's Freebase ID is recorded as /m/02768w7[11].
  • Karl Apfelbacher's family name is recorded as Apfelbacher[12].
  • Karl Apfelbacher's given name is recorded as Karl[13].
  • Karl Apfelbacher's languages spoken, written or signed is recorded as German[14].
  • Karl Apfelbacher's zbMATH author ID is recorded as apfelbacher.karl[15].
  • Karl Apfelbacher's MR Author ID is recorded as 404581[16].
  • Karl Apfelbacher's maintained by WikiProject is recorded as WikiProject Mathematics[17].

Body

Education

Karl Apfelbacher was educated at Ludwig-Maximilians-Universität München[5]. Doctoral advisors include Arnold Sommerfeld[6], a theoretical physicist[18], 1868–1951[19], of Germany[20], awarded the Max Planck Medal[21], specialised in theoretical physics[22] and Heinrich Franz Friedrich Tietze[7], a mathematician[23], 1880–1964[24], of Austria[25], awarded the Bavarian Order of Merit[26], specialised in group theory[27].

Career and Affiliations

Karl Apfelbacher worked as a mathematician[2].

Why It Matters

Karl Apfelbacher ranks in the top 0.73% of human entities by monthly Wikipedia readership (1 views/month, #7,300 of 1,000,298).[3]

FAQs

What did Karl Apfelbacher do for work?

Karl Apfelbacher worked as mathematician[2].

Where did Karl Apfelbacher go to school?

Karl Apfelbacher was educated at Ludwig-Maximilians-Universität München[5].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [8] . wikidata.org.
  2. [4] . wikidata.org.
  3. [9] . wikidata.org.
  4. [5] . wikidata.org.
  5. [2] . wikidata.org.
  6. [6] . wikidata.org.
  7. [7] . Mathematics Genealogy Project. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . Mathematics Genealogy Project. wikidata.org.
  15. [17] . wikidata.org.

Inline context (facts about related entities)

  1. [18] . Wikidata. wikidata.org. → on this site
  2. [19] . Wikidata. wikidata.org. → on this site
  3. [20] . Wikidata. wikidata.org. → on this site
  4. [21] . Wikidata. wikidata.org. → on this site
  5. [22] . Wikidata. wikidata.org. → on this site
  6. [23] . Wikidata. wikidata.org. → on this site
  7. [24] . Wikidata. wikidata.org. → on this site
  8. [25] . Wikidata. wikidata.org. → on this site
  9. [26] . Wikidata. wikidata.org. → on this site
  10. [27] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [3] . Wikimedia Foundation. dumps.wikimedia.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Karl Apfelbacher. Retrieved May 3, 2026, from https://4ort.xyz/entity/karl-apfelbacher
MLA “Karl Apfelbacher.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/karl-apfelbacher.
BibTeX @misc{4ortxyz_karl-apfelbacher_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Karl Apfelbacher}}, year = {2026}, url = {https://4ort.xyz/entity/karl-apfelbacher}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Karl Apfelbacher — https://4ort.xyz/entity/karl-apfelbacher (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/karl-apfelbacher · Last refreshed: