Emil Artin: Wikis

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Emil Artin

Born March 3, 1898(1898-03-03)
Vienna, Austria
Died December 20, 1962 (aged 64)
Hamburg, Germany
Fields Mathematics
Institutions University of Hamburg
Indiana University
Princeton
Alma mater University of Vienna
University of Leipzig
Doctoral students Bernard Dwork
Serge Lang
Kollagunta Ramanathan
John Tate
Hans Zassenhaus
Max Zorn

Emil Artin (March 3, 1898, in Vienna – December 20, 1962, in Hamburg) was an Austrian mathematician of Armenian descent. His father, also Emil Artin, was an Armenian art-dealer, and his mother was the opera singer Emma Laura-Artin. He grew up in Reichenberg (today Liberec) in Bohemia, where German was the primary language. He left school in 1916, and one year later went to the University of Vienna.

Artin spent his career in Germany (mainly in Hamburg) until the Nazi threat when he emigrated to the USA in 1937. He was at Indiana University from 1938 to 1946, and at Princeton University from 1946 to 1958. In 1958 he returned to Hamburg where he worked until his death in 1962.

Contents

Influence and work

He was one of the leading algebraists of the century, with an influence larger than might be guessed from the one volume of his Collected Papers edited by Serge Lang and John Tate. He worked in algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields. He developed the theory of braids as a branch of algebraic topology.

He was also an important expositor of Galois theory, and of the group cohomology approach to class ring theory (with John Tate), to mention two theories where his formulations became standard. The influential treatment of abstract algebra by van der Waerden is said to derive in part from Artin's ideas, as well as those of Emmy Noether. He wrote a book on geometric algebra that gave rise to the contemporary use of the term, reviving it from the work of W. K. Clifford.

Conjectures

He left two conjectures, both known as Artin's conjecture. The first concerns Artin L-functions for a linear representation of a Galois group; and the second the frequency with which a given integer a is a primitive root modulo primes p, when a is fixed and p varies. These are unproven; Hooley proved a result for the second conditional on the first.

Supervision of research

Artin advised over thirty doctoral students, including Bernard Dwork, Serge Lang, K. G. Ramanathan, John Tate, Hans Zassenhaus and Max Zorn. He died in 1962, in Hamburg.

Family

In 1932 he married Natascha Jasny, who was Jewish and born in Russia[1]. Artin himself was not Jewish, but was dismissed from his university position in 1937. They had three children, one of whom is Michael Artin, an American algebraist currently at MIT.

Academic offices
Preceded by
Luther P. Eisenhart
Dod Professor of Mathematics at Princeton University
1948–1953
Succeeded by
Albert W. Tucker

Selected bibliography

  • [2] Emil Artin, The theory of braids, Annals of Mathematics (2) 48 (1947), 101 – 126
  • Emil Artin (1998). Galois Theory. Dover Publications, Inc.. ISBN 0-486-62342-4.   (Reprinting of second revised edition of 1944, The University of Notre Dame Press). [3]
  • A Freshman Honors Course in Calculus and Analytic Geometry ISBN 0923891528
  • Emil Artin (1957), Geometric Algebra, Interscience Publishers

See also

Further reading

External links

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