Ernst Eduard Kummer, Dr.

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Ernst Eduard Kummer, Dr.

Birthplace: Zary, Poland
Death: Died in Berlin, Germany
Cause of death: Influenza
Immediate Family:

Son of Carl Gotthelf Kummer and Unknown Kummer
Husband of Ottilie Ernestine Françoise Kummer and Bertha Marianne Kummer
Father of Wilhelm Kummer; Marie Elisabeth Schwarz; Eduard Otto Kummer; Ernst* Nathaniel Kummer; Anna "Helene" Cauer and 1 other
Brother of Karl Gotthelf Kummer

Occupation: Mathematiker
Managed by: Martin Severin Eriksen
Last Updated:

About Ernst Eduard Kummer, Dr.

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker. Contents [hide]

Kummer was born in Sorau, Brandenburg (then part of Prussia). Kummer was first married to Ottilie Mendelssohn, daughter of Nathan Mendelssohn and Henriette Itzig. Ottilie was a cousin of Rebecca Mendelssohn Bartholdy, the wife of the mathematician Peter Gustav Lejeune Dirichlet. His second wife, Bertha was a maternal cousin of Ottilie. Overall, he had 13 children. His daughter Marie married the mathematician Hermann Schwarz. Kummer retired from teaching and from mathematics in 1890 and died three years later in Berlin. [edit]Mathematics

Kummer made several contributions to mathematics in different areas; he codified some of the relations between different hypergeometric series, known as contiguity relations. The Kummer surface results from taking the quotient of a two-dimensional abelian variety by the cyclic group {1, −1} (an early orbifold: it has 16 singular points, and its geometry was intensively studied in the nineteenth century). See also Kummer's function, Kummer ring and Kummer sum. Kummer also proved Fermat's last theorem for a considerable class of prime exponents (see regular prime, ideal class group). His methods were closer, perhaps, to p-adic ones than to ideal theory as understood later, though the term 'ideal' arose here. He studied what were later called Kummer extensions of fields: that is, extensions generated by adjoining an nth root to a field already containing a primitive nth root of unity. This is a significant extension of the theory of quadratic extensions, and the genus theory of quadratic forms (linked to the 2-torsion of the class group). As such, it is still foundational for class field theory. [edit]See also

Kummer's congruence Kummer series Kummer theory [edit]Publications

Kummer, Ernst Eduard (1975), Weil, André, ed., Collected papers. Volume 1: Contributions to Number Theory, Berlin, New York: Springer-Verlag, ISBN 978-0-387-06835-0, MR0465760 Kummer, Ernst Eduard (1975), Weil, André, ed., Collected papers. Volume II: Function theory, geometry and miscellaneous, Berlin, New York: Springer-Verlag, ISBN 978-3-540-06836-5, MR0465761 [edit]References

Eric Temple Bell, Men of Mathematics, Simon and Schuster, New York: 1986. R. W. H. T. Hudson, Kummer's Quartic Surface, Cambridge, [1905] rept. 1990. "Ernst Kummer," in Dictionary of Scientific Biography, ed. C. Gillispie, NY: Scribners 1970-90. [edit]External links

O'Connor, John J.; Robertson, Edmund F., "Ernst Kummer", MacTutor History of Mathematics archive, University of St Andrews. Biography of Ernst Kummer Ernst Kummer at the Mathematics Genealogy Project.

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Ernst Eduard Kummer, Dr.'s Timeline

January 29, 1810
Zary, Poland
June 7, 1841
Age 31
November 13, 1842
Age 32
Wrocław, Lower Silesian Voivodeship, Poland
February 2, 1844
Age 34
March 23, 1847
Age 37
Age 43
December 26, 1856
Age 46
May 14, 1893
Age 83
Berlin, Germany