Heinz Hopf

Summary

Heinz Hopf is a human^[1]. His place of birth was Wrocław^[2]. He died in Zollikon^[3]. He worked as a mathematician^[4], topologist^[5], and university teacher^[6]. He ranks in the top 0.72% of human entities by monthly Wikipedia readership (72 views/month, #7,242 of 1,000,298).^[7]

Key Facts

• Heinz Hopf was born in Wrocław^[2].
• Heinz Hopf's place of birth was Grabiszyn-Grabiszynek^[8].
• Heinz Hopf died in Zollikon^[3].
• Burial took place at Zollikon cemetery^[9].
• Heinz Hopf held citizenship in Germany^[10].
• Heinz Hopf held citizenship in Switzerland^[11].
• Heinz Hopf is identified as part of the Jewish people ethnic group^[12].
• Heinz Hopf's professions included mathematician^[4].
• Heinz Hopf's professions included topologist^[5].
• Heinz Hopf worked as a university teacher^[6].
• Heinz Hopf's field of work was differential geometry^[13].
• Heinz Hopf's field of work was geometry^[14].
• Heinz Hopf's field of work was topology^[15].
• Heinz Hopf's field of work was mathematics^[16].
• Heinz Hopf's field of work was algebraic topology^[17].
• Heinz Hopf held the position of chairperson^[18].
• Among Heinz Hopf's employers was ETH Zurich^[19].
• Among Heinz Hopf's employers was Imperial German Army^[20].
• Heinz Hopf's education included a stint at Frederick William University Berlin^[21].
• Heinz Hopf was educated at University of Göttingen^[22].
• Heinz Hopf's education included a stint at University of Wrocław^[23].
• Heinz Hopf's education included a stint at Heidelberg University^[24].
• Heinz Hopf's education included a stint at Princeton University^[25].
• Heinz Hopf was educated at Humboldt-Universität zu Berlin^[26].
• Heinz Hopf's doctoral advisor was Ludwig Bieberbach^[27].

Body

Origins and Family

Recorded place of birth include Wrocław^[2], a city with powiat rights in Poland^[28], in Kingdom of Poland^[29], founded in 1000^[30] and Grabiszyn-Grabiszynek^[8], a quarter^[31], in Poland^[32], founded in 1991^[33]. Heinz Hopf is identified as part of the Jewish people ethnic group^[12].

Education

Educated at Frederick William University Berlin^[21], a university^[34], in Prussia^[35], founded in 1828^[36]; University of Göttingen^[22], a campus university^[37], in Germany^[38], founded in 1734^[39], headquartered in Göttingen^[40]; University of Wrocław^[23], a university^[41], in Poland^[42], founded in 1702^[43]; Heidelberg University^[24], a public research university^[44], in Germany^[45], founded in 1386^[46], headquartered in Heidelberg^[47]; Princeton University^[25], a private university^[48], in United States^[49], founded in 1746^[50], headquartered in Princeton^[51]; and Humboldt-Universität zu Berlin^[26], a comprehensive university^[52], in Germany^[53], founded in 1809^[54], headquartered in Berlin^[55]. Doctoral advisors include Ludwig Bieberbach^[27] and Erhard Schmidt^[56].

Career and Affiliations

Recorded occupations include mathematician^[4], topologist^[5], and university teacher^[6]. Fields of work include differential geometry^[13], a branch of mathematics^[57]; geometry^[14], a branch of mathematics^[58]; topology^[15], a branch of mathematics^[59]; mathematics^[16], an academic discipline^[60]; and algebraic topology^[17]. Employers include ETH Zurich^[19], an institute of technology^[61], in Switzerland^[62], founded in 1855^[63], headquartered in ETH Zurich main building^[64] and Imperial German Army^[20], an army^[65], in German Reich^[66], founded in 1871^[67]. Heinz Hopf held the position of chairperson^[18]. Doctoral students include Hans Freudenthal^[68], Beno Eckmann^[69], Willi Rinow^[70], Friedrich Hirzebruch^[71], Michel Kervaire^[72], and Ernst Specker^[73].

Recognition

Awards received include Lobachevsky Prize^[74], a science award^[75], in Soviet Union^[76]; Iron Cross^[77], an order^[78], in Kingdom of Prussia^[79], founded in 1813^[80]; and doctor honoris causa from the University of Paris^[81], an award^[82], in France^[83].

Personal Life

Heinz Hopf's religion is recorded as reformed^[84].

Death and Burial

Heinz Hopf passed away in Zollikon^[3]. Burial took place at Zollikon cemetery^[9].

Works and Contributions

Things named for Heinz Hopf include Hopf fibration^[85], Hopf algebra^[86], Poincaré–Hopf theorem^[87], Hopf link^[88], H-space^[89], Hopf–Rinow theorem^[90], Hopf invariant^[91], and Heinz Hopf Prize^[92].

Why It Matters

Heinz Hopf ranks in the top 0.72% of human entities by monthly Wikipedia readership (72 views/month, #7,242 of 1,000,298).^[7] He has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.^[93] He is known by 9 alternative names across languages and contexts.^[94]

He is credited with the discovery of Hopf invariant^[95], an invariant^[96] and Hopfian group^[97]. Entities named for him include Hopf fibration^[85], Hopf algebra^[86], Poincaré–Hopf theorem^[87], Hopf link^[88], H-space^[89], and Hopf–Rinow theorem^[90].

His notable doctoral advisees include Alice Roth^[98], a mathematician^[99], 1905–1977^[100], of Switzerland^[101], specialised in set theory^[102]; James J. Stoker^[103], a mathematician^[104], 1905–1992^[105], of United States^[106], awarded the Guggenheim Fellowship^[107]; Friedrich Hirzebruch^[108], a mathematician^[109], 1927–2012^[110], of Germany^[111], awarded the Pour le Mérite for Sciences and Arts order^[112], specialised in mathematics^[113]; Hans Freudenthal^[114], a mathematician^[115], 1905–1990^[116], of Kingdom of the Netherlands^[117], awarded the De Gouden Ganzenveer^[118], specialised in topology^[119]; Beno Eckmann^[120], a mathematician^[121], 1917–2008^[122], of Switzerland^[123], awarded the honorary doctor of Ben-Gurion University^[124], specialised in topology^[125]; and Willi Rinow^[126], a mathematician^[127], 1907–1979^[128], of Germany^[129], awarded the National Prize of East Germany^[130], specialised in mathematics^[131].

FAQs

Where was Heinz Hopf born?

Heinz Hopf was born in Wrocław^[2].

Where did Heinz Hopf die?

Heinz Hopf passed away in Zollikon^[3].

What did Heinz Hopf do for work?

Heinz Hopf worked as mathematician^[4], topologist^[5], and university teacher^[6].

Where did Heinz Hopf go to school?

Heinz Hopf was educated at Frederick William University Berlin^[21], University of Göttingen^[22], University of Wrocław^[23], and Heidelberg University^[24].

What awards did Heinz Hopf receive?

Honors received include Lobachevsky Prize^[74], Iron Cross^[77], and doctor honoris causa from the University of Paris^[81].

What did Heinz Hopf discover?

Heinz Hopf is credited as discoverer of Hopf invariant^[95] and Hopfian group^[97].