Arthur Cayley

English mathematician (1821-1895)
Person human Q159430
Arthur Cayley
Herbert Beraud (1845–1896) · Public Domain · Wikimedia
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Arthur Cayley

Summary

Arthur Cayley is a human[1]. Born in Richmond[2], he… he was born on August 16, 1821[3]. He died in Cambridge[4]. He died on January 26, 1895[5]. He worked as a mathematician[6], lawyer[7], university teacher[8], and barrister[9]. He ranks in the top 0.72% of human entities by monthly Wikipedia readership (380 views/month, #7,168 of 1,000,298).[10]

Key Facts

  • Arthur Cayley's place of birth was Richmond[2].
  • Arthur Cayley died in Cambridge[4].
  • Arthur Cayley was born on August 16, 1821[3].
  • Arthur Cayley died on January 26, 1895[5].
  • Arthur Cayley is buried at Mill Road Cemetery[11].
  • Arthur Cayley's father was Henry Cayley[12].
  • Arthur Cayley's mother was Mary Antonia Doughty[13].
  • Arthur Cayley was married to Susan Moline[14].
  • A child of Arthur Cayley was Henry Cayley[15].
  • A child of Arthur Cayley was Mary Cayley[16].
  • Arthur Cayley held citizenship in United Kingdom of Great Britain and Ireland[17].
  • Arthur Cayley worked as a mathematician[6].
  • Arthur Cayley worked as a lawyer[7].
  • Arthur Cayley's professions included university teacher[8].
  • Arthur Cayley's professions included barrister[9].
  • Arthur Cayley's field of work was graph theory[18].
  • Arthur Cayley's field of work was group theory[19].
  • Arthur Cayley's field of work was mathematics[20].
  • Arthur Cayley held the position of Sadleirian Professor of Pure Mathematics[21].
  • Arthur Cayley held the position of chairperson[22].
  • Arthur Cayley was employed by University of Cambridge[23].
  • Arthur Cayley was employed by Trinity College[24].
  • Arthur Cayley was employed by Lincoln's Inn[25].
  • Arthur Cayley was educated at King's College School[26].
  • Arthur Cayley's education included a stint at Trinity College[27].

Body

Origins and Family

Arthur Cayley's place of birth was Richmond[2]. He was born on August 16, 1821[3]. His father was Henry Cayley[12]. His mother was Mary Antonia Doughty[13].

Education

Educated at King's College School[26], an independent school[28], in United Kingdom[29], founded in 1829[30]; Trinity College[27], a college of the University of Cambridge[31], in United Kingdom[32], founded in 1546[33], headquartered in Cambridge[34]; and Lincoln's Inn[35], an Inns of Court[36], in United Kingdom[37], founded in 1444[38]. Arthur Cayley's doctoral advisor was William Hopkins[39].

Career and Affiliations

Recorded occupations include mathematician[6], lawyer[7], university teacher[8], and barrister[9]. Fields of work include graph theory[18], an academic discipline[40]; group theory[19], a branch of mathematics[41]; and mathematics[20], an academic discipline[42]. Employers include University of Cambridge[23], a collegiate university[43], in United Kingdom[44], founded in 1209[45], headquartered in Cambridge[46]; Trinity College[24], a college of the University of Cambridge[47], in United Kingdom[48], founded in 1546[49], headquartered in Cambridge[50]; and Lincoln's Inn[25], an Inns of Court[51], in United Kingdom[52], founded in 1444[53]. Positions held include Sadleirian Professor of Pure Mathematics[21], a chair[54] and chairperson[22], a type of position[55]. Doctoral students include H. F. Baker[56], Andrew Forsyth[57], and Charlotte Scott[58].

Works and Contributions

Notable works include Cayley's theorem[59], Cayley–Hamilton theorem[60], and Cayley–Bacharach theorem[61]. Things named for Arthur Cayley include Cayley–Hamilton theorem[62], Cayley graph[63], Cayley's theorem[64], Cayley–Dickson construction[65], Cayley's formula[66], Cayley table[67], Cayley–Bacharach theorem[68], and Cayley–Menger determinant[69].

Recognition

Awards received include Fellow of the Royal Society[70], a fellowship award[71], in United Kingdom[72]; Copley Medal[73], a medallion[74], in United Kingdom[75], founded in 1731[76]; Royal Medal[77], a science award[78], in United Kingdom[79], founded in 1826[80]; De Morgan Medal[81]; Honorary doctor of the Heidelberg University[82]; and honorary doctor of the University of Edinburgh[83].

Personal Life

Arthur Cayley was married to Susan Moline[14]. Children include Henry Cayley[15], 1870–1949[84] and Mary Cayley[16].

Death and Burial

Arthur Cayley died on January 26, 1895[5]. He died in Cambridge[4]. Burial took place at Mill Road Cemetery[11].

Why It Matters

Arthur Cayley ranks in the top 0.72% of human entities by monthly Wikipedia readership (380 views/month, #7,168 of 1,000,298).[10] He has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[85] He is known by 24 alternative names across languages and contexts.[86]

He is credited with the discovery of sedenion[87], a flexible algebra[88] and Pfaffian[89], a mathematical concept[90]. Entities named for him include Cayley–Hamilton theorem[62], Cayley graph[63], Cayley's theorem[64], Cayley–Dickson construction[65], Cayley's formula[66], and Cayley table[67].

His notable doctoral advisees include Charlotte Scott[91], a mathematician[92], 1858–1931[93], of United Kingdom[94]; Andrew Forsyth[95], a mathematician[96], 1858–1942[97], of United Kingdom[98], awarded the Royal Medal[99]; and H. F. Baker[100], a mathematician[101], 1866–1956[102], of United Kingdom[103], awarded the Fellow of the Royal Society[104], specialised in partial differential equation[105].

FAQs

Where was Arthur Cayley born?

Arthur Cayley's place of birth was Richmond[2].

Where did Arthur Cayley die?

Arthur Cayley died in Cambridge[4].

Who were Arthur Cayley's parents?

Arthur Cayley's father was Henry Cayley[12]. Arthur Cayley's mother was Mary Antonia Doughty[13].

Who was Arthur Cayley married to?

Arthur Cayley's spouses include Susan Moline[14].

What did Arthur Cayley do for work?

Arthur Cayley worked as mathematician[6], lawyer[7], university teacher[8], and barrister[9].

Where did Arthur Cayley go to school?

Arthur Cayley was educated at King's College School[26], Trinity College[27], and Lincoln's Inn[35].

What awards did Arthur Cayley receive?

Honors received include Fellow of the Royal Society[70], Copley Medal[73], Royal Medal[77], and De Morgan Medal[81].

What did Arthur Cayley discover?

Arthur Cayley is credited as discoverer of sedenion[87] and Pfaffian[89].

References

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

Direct Wikidata claims

  1. [2] . www.accademiadellescienze.it. Retrieved . wikidata.org.
  2. [4] . Great Soviet Encyclopedia (1969–1978). Retrieved . wikidata.org.
  3. [12] . The Peerage. wikidata.org.
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  5. [14] . Retrieved . wikidata.org.
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  7. [21] . wikidata.org.
  8. [22] . wikidata.org.
  9. [15] . The Peerage. wikidata.org.
  10. [16] . The Peerage. wikidata.org.
  11. [26] . MacTutor History of Mathematics archive. wikidata.org.
  12. [27] . MacTutor History of Mathematics archive. wikidata.org.
  13. [35] . MacTutor History of Mathematics archive. wikidata.org.
  14. [18] . wikidata.org.
  15. [19] . wikidata.org.
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  19. [8] . wikidata.org.
  20. [9] . Men-at-the-Bar. wikidata.org.
  21. [23] . MacTutor History of Mathematics archive. wikidata.org.
  22. [24] . MacTutor History of Mathematics archive. wikidata.org.
  23. [25] . MacTutor History of Mathematics archive. wikidata.org.
  24. [11] . Find a Grave. millroadcemetery.org.uk. Provenance: wikidata.org.
  25. [70] . MacTutor History of Mathematics archive. Retrieved . www-history.mcs.st-andrews.ac.uk. Provenance: wikidata.org.
  26. [73] . docs.google.com. Retrieved . docs.google.com. Provenance: wikidata.org.
  27. [77] . MacTutor History of Mathematics archive. Retrieved . www-history.mcs.st-andrews.ac.uk. Provenance: wikidata.org.
  28. [81] . MacTutor History of Mathematics archive. wikidata.org.
  29. [82] . MacTutor History of Mathematics archive. wikidata.org.
  30. [83] . MacTutor History of Mathematics archive. wikidata.org.
  31. [39] . Mathematics Genealogy Project. Retrieved . wikidata.org.
  32. [56] . Mathematics Genealogy Project. wikidata.org.
  33. [57] . Mathematics Genealogy Project. wikidata.org.
  34. [58] . Mathematics Genealogy Project. wikidata.org.
  35. [3] . BnF authorities. Retrieved . wikidata.org.
  36. [5] . BnF authorities. Retrieved . wikidata.org.
  37. [59] . wikidata.org.
  38. [60] . wikidata.org.
  39. [61] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [87] . wikidata.org. → on this site
  2. [89] . wikidata.org. → on this site
  3. [91] . wikidata.org. → on this site
  4. [95] . wikidata.org. → on this site
  5. [100] . wikidata.org. → on this site
  6. [62] . wikidata.org. → on this site
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  11. [67] . wikidata.org. → on this site
  12. [68] . wikidata.org. → on this site
  13. [69] . wikidata.org. → on this site

Inline context (facts about related entities)

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Class ancestry

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

Aggregate / graph-position facts

  1. [10] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [85] . Wikidata sitelinks. wikidata.org.
  3. [86] . Wikidata aliases. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Arthur Cayley. Retrieved April 10, 2026, from https://4ort.xyz/entity/arthur-cayley
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  1. 8d ago · Quesotiotyo · 2026-05-20 view diff on Wikidata ↗
    Local thumb
    P14397 865
    "/* wbcreateclaim-create:1| */ [[Property:P14397]]: 865, [[:toollabs:quickstatements/#/batch/258229|batch #258229]]"
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