Ernst Eduard Kummer (29 January 1810 to 14 May 1893) was a German mathematician. Skilled in applied mathematics, he trained German army officers in ballistics and taught for ten years in a gymnasium, where he inspired the mathematical career of Leopold Kronecker. He was born in Sorau, Brandenburg, then part of Prussia, initially pursued Protestant theology, and was awarded a doctorate by the University of Halle in 1831 for a prize-winning essay on the powers of sines and cosines of multiple arcs. In 1840 he married Ottilie Mendelssohn, a cousin of Felix Mendelssohn. He proved Fermat's Last Theorem for a considerable class of prime exponents, and the Kummer surface, the quotient of a two-dimensional abelian variety by the cyclic group of order two, is named after him.
Facts
Ernst Kummer
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Connections
Conjectures Posed
Source Kummer-Vandiver conjecture (Wikipedia)
In Branch
Source Wikipedia: Ernst Kummer
Mentored
Source Arthur Moritz Schoenflies (Wikipedia)
Source Nicolai Vasilievich Bugaev (MacTutor)
Source Otto Hölder (Wikipedia)
Principal Result
Source Kummer's theorem, Wikipedia
Proofs Credited
Source Kummer's theorem, Wikipedia
Source Reflection theorem (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Sources
1. Wikipedia: Ernst Kummer
2. MacTutor History of Mathematics, University of St Andrews: Ernst Eduard Kummer
MacTutor History of Mathematics, University of St AndrewsQuick Info: BornQuote, Quick Info: Born
29 January 1810
Reflection theorem (Wikipedia)
Proofs Credited: Reflection Theorem, Lead sectionQuote, Proofs Credited: Reflection Theorem, Lead section
The original example is due to Ernst Eduard Kummer, who showed that the class number of the cyclotomic field
Nicolai Vasilievich Bugaev (MacTutor)
Mentored: Nikolai Bugaev, Biography, study abroadQuote, Mentored: Nikolai Bugaev, Biography, study abroad
he studied under Kummer and Weierstrass in Berlin
Kummer's theorem, Wikipedia
Principal Result: Kummer's Theorem, Lead sentence of the article on the result
The theorem is named after Ernst Kummer, who proved it in 1852 (Kummer 1852).
Proofs Credited: Kummer's Theorem, Lead
The theorem is named after Ernst Kummer, who proved it in 1852 (Kummer 1852).
View the SourceArthur Moritz Schoenflies (Wikipedia)
Mentored: Arthur Moritz Schoenflies, Biography, teachersQuote, Mentored: Arthur Moritz Schoenflies, Biography, teachers
He studied under Ernst Kummer and Karl Weierstrass
Otto Hölder (Wikipedia)
Mentored: Otto Hölder, Early life, KummerQuote, Mentored: Otto Hölder, Early life, Kummer
he was a student of Leopold Kronecker, Karl Weierstrass, and Ernst Kummer
Kummer-Vandiver conjecture (Wikipedia)
Conjectures Posed: Kummer-Vandiver Conjecture, Lead paragraphQuote, Conjectures Posed: Kummer-Vandiver Conjecture, Lead paragraph
The conjecture was first made by Ernst Kummer, on 28 December 1849 and 24 April 1853 in letters to Leopold Kronecker, and independently rediscovered around 1920 by Philipp Furtwängler and Harry Vandiver.
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