Élie Cartan

Summary

Élie Cartan is a human^[1]. Born in Dolomieu^[2], he… he died in Paris^[3]. He worked as a mathematician^[4], university teacher^[5], and physicist^[6]. He ranks in the top 0.72% of human entities by monthly Wikipedia readership (1,094 views/month, #7,173 of 1,000,298).^[7]

Key Facts

• Élie Cartan was born in Dolomieu^[2].
• Élie Cartan passed away in Paris^[3].
• Burial took place at Q64493572^[8].
• Among Élie Cartan's spouses was Marie-Louise Cartan^[9].
• A child of Élie Cartan was Henri Cartan^[10].
• A child of Élie Cartan was Jean Cartan^[11].
• A child of Élie Cartan was Hélène Cartan^[12].
• A child of Élie Cartan was Louis Cartan^[13].
• Élie Cartan held citizenship in France^[14].
• Élie Cartan worked as a mathematician^[4].
• Élie Cartan worked as a university teacher^[5].
• Élie Cartan's professions included physicist^[6].
• Élie Cartan's field of work was differential geometry^[15].
• Élie Cartan's field of work was general relativity^[16].
• Élie Cartan's field of work was mathematics^[17].
• Élie Cartan held the position of president of the French Academy of Sciences^[18].
• Élie Cartan was employed by Science Faculty of Paris^[19].
• Among Élie Cartan's employers was University of Montpellier^[20].
• Among Élie Cartan's employers was University of Lyon^[21].
• Among Élie Cartan's employers was Nancy-Université^[22].
• Among Élie Cartan's employers was École normale supérieure de jeunes filles^[23].
• Élie Cartan's education included a stint at École Normale Supérieure^[24].
• Élie Cartan was educated at Lycée Janson-de-Sailly^[25].
• Élie Cartan was educated at University of Paris^[26].
• Élie Cartan's education included a stint at Lycée Stendhal^[27].

Body

Origins and Family

Élie Cartan's place of birth was Dolomieu^[2].

Education

Educated at École Normale Supérieure^[24], a école normale supérieure^[28], in France^[29], founded in 1794^[30], headquartered in Paris^[31]; Lycée Janson-de-Sailly^[25], an educational facility^[32], in France^[33], founded in 1965^[34]; University of Paris^[26], a former entity^[35], in France^[36], founded in 1150^[37], headquartered in Paris^[38]; Lycée Stendhal^[27], a lyceum^[39], in France^[40], founded in 1965^[41]; and collège Ponsard^[42], an educational facility^[43], in France^[44], founded in 1970^[45]. Doctoral advisors include Jean Gaston Darboux^[46] and Sophus Lie^[47].

Career and Affiliations

Recorded occupations include mathematician^[4], university teacher^[5], and physicist^[6]. Fields of work include differential geometry^[15], a branch of mathematics^[48]; general relativity^[16], a scientific theory^[49], founded in 1916^[50]; and mathematics^[17], an academic discipline^[51]. Employers include Science Faculty of Paris^[19], a faculty^[52], in France^[53], founded in 1811^[54]; University of Montpellier^[20], an Experimental Public Establishment (France)^[55], in France^[56], founded in 1220^[57], headquartered in Montpellier^[58]; University of Lyon^[21], a university in France^[59], in France^[60], founded in 1896^[61]; Nancy-Université^[22], a Higher education and research cluster^[62], in France^[63], founded in 1572^[64], headquartered in Nancy^[65]; and École normale supérieure de jeunes filles^[23], a école normale supérieure^[66], in France^[67], founded in 1881^[68]. Élie Cartan held the position of president of the French Academy of Sciences^[18]. Doctoral students include Charles Ehresmann^[69], Kentaro Yano^[70], Radu Roșca^[71], Mohsen Hashtroodi^[72], Michel-Louis Guérard des Lauriers^[73], and Assadollah Alebouyeh^[74].

Recognition

Awards received include Leconte Prize^[75], Poncelet Prize^[76], Lobachevsky Prize^[77], Commander of the Legion of Honour^[78], and Foreign Member of the Royal Society^[79].

Personal Life

Élie Cartan was married to Marie-Louise Cartan^[9]. Children include Henri Cartan^[10], a mathematician^[80], 1904–2008^[81], of France^[82], awarded the CNRS Gold medal^[83], specialised in mathematical analysis^[84]; Jean Cartan^[11], a composer^[85], 1906–1932^[86], of France^[87]; Hélène Cartan^[12], a mathematician^[88], 1917–1952^[89], of France^[90]; and Louis Cartan^[13], a physicist^[91], 1909–1943^[92], of France^[93].

Death and Burial

Élie Cartan passed away in Paris^[3]. He is buried at Q64493572^[8].

Works and Contributions

Things named for Élie Cartan include Einstein–Cartan theory^[94], Cartan matrix^[95], Cartan subalgebra^[96], Cartan connection^[97], Maurer–Cartan form^[98], Cartan–Dieudonné theorem^[99], Cartan–Hadamard theorem^[100], and closed subgroup theorem^[101].

Why It Matters

Élie Cartan ranks in the top 0.72% of human entities by monthly Wikipedia readership (1,094 views/month, #7,173 of 1,000,298).^[7] He has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.^[102] He is known by 52 alternative names across languages and contexts.^[103]

He has been cited as an influence by Shiing-Shen Chern^[104], a mathematician^[105], 1911–2004^[106], of People's Republic of China^[107], awarded the Guggenheim Fellowship^[108], specialised in differential geometry^[109]; Georges de Rham^[110], a mathematician^[111], 1903–1990^[112], of Switzerland^[113], awarded the Prize of the City of Lausanne^[114], specialised in topology^[115]; Albert Lautman^[116], a philosopher of mathematics^[117], 1908–1944^[118], of France^[119], awarded the Croix de guerre 1939–1945^[120], specialised in epistemology^[121]; and Georgi Bradistilov^[122], a mathematician^[123], 1904–1977^[124], of Bulgaria^[125], awarded the Order of Cyril and Methodius^[126], specialised in mathematics^[127].

Entities named for him include Einstein–Cartan theory^[94], Cartan matrix^[95], Cartan subalgebra^[96], Cartan connection^[97], Maurer–Cartan form^[98], and Cartan–Dieudonné theorem^[99].

His notable doctoral advisees include Michel-Louis Guérard des Lauriers^[128], a Catholic priest^[129], 1898–1988^[130], of France^[131]; Georges de Rham^[132], a mathematician^[133], 1903–1990^[134], of Switzerland^[135], awarded the Prize of the City of Lausanne^[136], specialised in topology^[137]; Charles Ehresmann^[138]; Kentaro Yano^[139]; George Nikoladze^[140]; and Mohsen Hashtroodi^[141].

FAQs

Where was Élie Cartan born?

Élie Cartan was born in Dolomieu^[2].

Where did Élie Cartan die?

Élie Cartan died in Paris^[3].

Who was Élie Cartan married to?

Élie Cartan's spouses include Marie-Louise Cartan^[9].

What did Élie Cartan do for work?

Élie Cartan worked as mathematician^[4], university teacher^[5], and physicist^[6].

Where did Élie Cartan go to school?

Élie Cartan was educated at École Normale Supérieure^[24], Lycée Janson-de-Sailly^[25], University of Paris^[26], and Lycée Stendhal^[27].

What awards did Élie Cartan receive?

Honors received include Leconte Prize^[75], Poncelet Prize^[76], Lobachevsky Prize^[77], and Commander of the Legion of Honour^[78].

Who did Élie Cartan influence?

Élie Cartan has been cited as an influence by Shiing-Shen Chern^[104], Georges de Rham^[110], Albert Lautman^[116], and Georgi Bradistilov^[122].