Arthur Cayley

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

Arthur Cayley was born on August 16, 1821[1], in Richmond[2]. He died on January 26, 1895[3], in Cambridge[4]. He worked as a mathematician[5], lawyer[6], university teacher[7], and barrister[8]. He ranks in the top 0.72% of human entities by monthly Wikipedia readership (1,002 views/month, #7,168 of 1,000,298).[9]

Key Facts

  • Place of burial: Mill Road Cemetery[10]
  • Father: Henry Cayley[11]
  • Mother: Mary Antonia Doughty[12]
  • Spouse: Susan Moline[13]
  • Child: Henry Cayley[14], Mary Cayley[15]
  • Country of citizenship: United Kingdom of Great Britain and Ireland[16]
  • Field of work: graph theory[17], group theory[18], mathematics[19]
  • Position held: Sadleirian Professor of Pure Mathematics[20], chairperson[21]
  • Employer: University of Cambridge[22], Trinity College[23], Lincoln's Inn[24]
  • Educated at: King's College School[25], Trinity College[26], Lincoln's Inn[27]
  • Doctoral advisor: William Hopkins[28]
  • Notable work: Cayley's theorem[29], Cayley–Hamilton theorem[30], Cayley–Bacharach theorem[31]
  • Award received: Fellow of the Royal Society[32], Copley Medal[33], Royal Medal[34], De Morgan Medal[35], Honorary doctor of the Heidelberg University[36], honorary doctor of the University of Edinburgh[37], Honorary doctor of the University of Bologna[38], Honorary doctor of the University of Oxford[39], Officer of the Legion of Honour[40], Fellow of the American Academy of Arts and Sciences[41], Honorary doctor of Leiden University[42], Smith's Prize[43]
  • Member of: Royal Society[44], Göttingen Academy of Sciences and Humanities in Lower Saxony[45], Hungarian Academy of Sciences[46], American Academy of Arts and Sciences[47], Russian Academy of Sciences[48], Royal Prussian Academy of Sciences[49], Royal Netherlands Academy of Arts and Sciences[50], Accademia Nazionale delle Scienze detta dei XL[51], Royal Society of Edinburgh[52], Royal Astronomical Society[53], National Academy of Sciences[54], Academy of Sciences of Turin[55], Accademia Nazionale dei Lincei[56]
  • Sex or gender: male[57]
  • Doctoral student: H. F. Baker[58], Andrew Forsyth[59], Charlotte Scott[60]
  • Commons category: Arthur Cayley[61]
  • Residence: England[62], Saint Petersburg[63]
  • Family name: Cayley[64]
  • Given name: Arthur[65]

Body

Works and Contributions

Things named for Arthur Cayley include Cayley–Hamilton theorem[66], Cayley graph[67], Cayley–Menger determinant[68], Cayley's theorem[69], Cayley–Dickson construction[70], Cayley table[71], Cayley's formula[72], and Cayley–Bacharach theorem[73].

Why It Matters

Arthur Cayley has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[74] He is known by 35 alternative names across languages and contexts.[75]

He is credited with the discovery of sedenion[76], a flexible algebra[77] and Pfaffian[78], a mathematical concept[79]. Entities named for him include Cayley–Hamilton theorem[66], Cayley graph[67], Cayley–Menger determinant[68], Cayley's theorem[69], Cayley–Dickson construction[70], and Cayley table[71].

His notable doctoral advisees include Charlotte Scott[80], a mathematician[81], 1858–1931[82], of United Kingdom[83]; Andrew Forsyth[84], a mathematician[85], 1858–1942[86], of United Kingdom[87], awarded the Royal Medal[88]; and H. F. Baker[89], a mathematician[90], 1866–1956[91], of United Kingdom[92], awarded the Fellow of the Royal Society[93], specialised in partial differential equation[94].

FAQs

Where was Arthur Cayley born?

Arthur Cayley was born in Richmond[2].

Where did Arthur Cayley die?

Arthur Cayley passed away in Cambridge[4].

Who were Arthur Cayley's parents?

Arthur Cayley's father was Henry Cayley[11]. Arthur Cayley's mother was Mary Antonia Doughty[12].

Who was Arthur Cayley married to?

Arthur Cayley's spouses include Susan Moline[13].

What did Arthur Cayley do for work?

Arthur Cayley worked as a mathematician[5], lawyer[6], university teacher[7], and barrister[8].

Where did Arthur Cayley go to school?

Arthur Cayley was educated at King's College School[25], Trinity College[26], and Lincoln's Inn[27].

What awards did Arthur Cayley receive?

Honors received include Fellow of the Royal Society[32], Copley Medal[33], Royal Medal[34], and De Morgan Medal[35].

What did Arthur Cayley discover?

Arthur Cayley is credited as discoverer of sedenion[76] and Pfaffian[78].

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. [57] ↑ . BnF authorities. Retrieved . wikidata.org.
  4. [11] ↑ . The Peerage. wikidata.org.
  5. [12] ↑ . The Peerage. wikidata.org.
  6. [13] ↑ . Retrieved . wikidata.org.
  7. [16] ↑ . wikidata.org.
  8. [20] ↑ . wikidata.org.
  9. [21] ↑ . wikidata.org.
  10. [14] ↑ . The Peerage. wikidata.org.
  11. [15] ↑ . The Peerage. wikidata.org.
  12. [25] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  13. [26] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  14. [27] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [5] ↑ . wikidata.org.
  19. [6] ↑ . wikidata.org.
  20. [7] ↑ . wikidata.org.
  21. [8] ↑ . Men-at-the-Bar. wikidata.org.
  22. [22] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  23. [23] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  24. [24] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  25. [10] ↑ . Find a Grave. millroadcemetery.org.uk. Provenance: wikidata.org.
  26. [32] ↑ . MacTutor History of Mathematics archive. Retrieved . www-history.mcs.st-andrews.ac.uk. Provenance: wikidata.org.
  27. [33] ↑ . docs.google.com. Retrieved . docs.google.com. Provenance: wikidata.org.
  28. [34] ↑ . MacTutor History of Mathematics archive. Retrieved . www-history.mcs.st-andrews.ac.uk. Provenance: wikidata.org.
  29. [35] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  30. [36] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  31. [37] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  32. [38] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  33. [39] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  34. [40] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  35. [41] ↑ . amacad.org. amacad.org. Provenance: wikidata.org.
  36. [42] ↑ . universiteitleiden.nl. universiteitleiden.nl. Provenance: wikidata.org.
  37. [43] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  38. [28] ↑ . Mathematics Genealogy Project. Retrieved . wikidata.org.
  39. [58] ↑ . Mathematics Genealogy Project. wikidata.org.
  40. [59] ↑ . Mathematics Genealogy Project. wikidata.org.
  41. [60] ↑ . Mathematics Genealogy Project. wikidata.org.
  42. [61] ↑ . wikidata.org.
  43. [44] ↑ . MacTutor History of Mathematics archive. www-history.mcs.st-andrews.ac.uk. Provenance: wikidata.org.
  44. [45] ↑ . wikidata.org.
  45. [46] ↑ . wikidata.org.
  46. [47] ↑ . wikidata.org.
  47. [48] ↑ . wikidata.org.
  48. [49] ↑ . wikidata.org.
  49. [50] ↑ . wikidata.org.
  50. [51] ↑ . wikidata.org.
  51. [52] ↑ . MacTutor History of Mathematics archive. www-history.mcs.st-andrews.ac.uk. Provenance: wikidata.org.
  52. [53] ↑ . MacTutor History of Mathematics archive. www-history.mcs.st-andrews.ac.uk. Provenance: wikidata.org.
  53. [54] ↑ . wikidata.org.
  54. [55] ↑ . www.accademiadellescienze.it. Retrieved . wikidata.org.
  55. [56] ↑ . Retrieved . wikidata.org.
  56. [62] ↑ . wikidata.org.
  57. [63] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  58. [1] ↑ . BnF authorities. Retrieved . wikidata.org.
  59. [3] ↑ . BnF authorities. Retrieved . wikidata.org.
  60. [64] ↑ . wikidata.org.
  61. [65] ↑ . wikidata.org.
  62. [29] ↑ . wikidata.org.
  63. [30] ↑ . wikidata.org.
  64. [31] ↑ . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [76] ↑ . wikidata.org. → on this site
  2. [78] ↑ . wikidata.org. → on this site
  3. [80] ↑ . wikidata.org. → on this site
  4. [84] ↑ . wikidata.org. → on this site
  5. [89] ↑ . wikidata.org. → on this site
  6. [66] ↑ . wikidata.org. → on this site
  7. [67] ↑ . wikidata.org. → on this site
  8. [68] ↑ . wikidata.org. → on this site
  9. [69] ↑ . wikidata.org. → on this site
  10. [70] ↑ . wikidata.org. → on this site
  11. [71] ↑ . wikidata.org. → on this site
  12. [72] ↑ . wikidata.org. → on this site
  13. [73] ↑ . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [77] ↑ . Wikidata. wikidata.org. → on this site
  2. [79] ↑ . Wikidata. wikidata.org. → on this site
  3. [81] ↑ . Wikidata. wikidata.org. → on this site
  4. [82] ↑ . Wikidata. wikidata.org. → on this site
  5. [83] ↑ . Wikidata. wikidata.org. → on this site
  6. [85] ↑ . Wikidata. wikidata.org. → on this site
  7. [86] ↑ . Wikidata. wikidata.org. → on this site
  8. [87] ↑ . Wikidata. wikidata.org. → on this site
  9. [88] ↑ . Wikidata. wikidata.org. → on this site
  10. [90] ↑ . Wikidata. wikidata.org. → on this site
  11. [91] ↑ . Wikidata. wikidata.org. → on this site
  12. [92] ↑ . Wikidata. wikidata.org. → on this site
  13. [93] ↑ . Wikidata. wikidata.org. → on this site
  14. [94] ↑ . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [9] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [74] ↑ . Wikidata sitelinks. wikidata.org.
  3. [75] ↑ . Wikidata aliases. wikidata.org.

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 8w ago · Rouletteer · 2026-08-12 view diff on Wikidata ↗
    Position held → Sadleirian Professor of Pure Mathematics, chairperson
    "/* wbsetclaim-create:2||1 */ Position held: President of the Royal Astronomical Society"
  2. 9w ago · Epìdosis · 2026-08-04 view diff on Wikidata ↗
    Accademia nazionale dei lincei id → cayley-arthur
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/45365|batch #45365]]: Update P14091 IDs"
  3. 16w ago · Yann · 2026-06-19 view diff on Wikidata ↗
    Commons creator page → Arthur Cayley
    "/* wbcreateclaim-create:1| */ Commons creator page: Arthur Cayley, #quickstatements; #temporary_batch_1781902546171"
  4. 20w ago · Quesotiotyo · 2026-05-20 view diff on Wikidata ↗
    Local thumb → —
    P14397 → 865
    "/* wbcreateclaim-create:1| */ P14397: 865, [[:toollabs:quickstatements/#/batch/258229|batch #258229]]"
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