# Kenkichi Iwasawa

**Kenkichi Iwasawa** (岩澤 健吉 *Iwasawa Kenkichi*, September 11, 1917 – October 26, 1998) was a Japanese mathematician who is known for his influence on algebraic number theory.

Kenkichi Iwasawa | |
---|---|

Born | Shinshuku near Kiryū, Gunma | September 11, 1917

Died | October 26, 1998 81) | (aged

Nationality | Japanese |

Alma mater | University of Tokyo |

Known for | Iwasawa theory |

Awards | Fujihara Award (1979) Cole Prize (1962) Prize of the Japan Academy (1962) Asahi Prize (1959) |

Scientific career | |

Fields | Mathematics |

Institutions | Massachusetts Institute of Technology Princeton University |

Doctoral advisor | Shokichi Iyanaga |

Doctoral students | Robert F. Coleman Ralph Greenberg Yasutaka Ihara Eugene M. Luks Gustave Solomon Larry Washington |

## Biography

Iwasawa was born in Shinshuku-mura, a town near Kiryū, in Gunma Prefecture. He attended elementary school there, but later moved to Tokyo to attend Musashi High School.

From 1937 to 1940 Iwasawa studied as an undergraduate at Tokyo Imperial University, after which he entered graduate school at University of Tokyo and became an assistant in the Department of Mathematics. In 1945 he was awarded a Doctor of Science degree. However, this same year Iwasawa became sick with pleurisy, and was unable to return to his position at the university until April 1947. From 1949 to 1955 he worked as Assistant Professor at Tokyo University.

In 1950, Iwasawa was invited to Cambridge, Massachusetts to give a lecture at the International Congress of Mathematicians on his method to study Dedekind zeta functions using integration over ideles and duality of adeles; this method was also independently obtained by John Tate and it is sometimes called Tate's thesis or the Iwasawa–Tate theory. Iwasawa spent the next two years at Institute for Advanced Study in Princeton, and in Spring of 1952 was offered a job at the Massachusetts Institute of Technology, where he worked until 1967.

From 1967 until his retirement in 1986, Iwasawa served as Professor of Mathematics at Princeton. He returned to Tokyo with his wife in 1987.

Iwasawa is perhaps best known for introducing what is now called Iwasawa theory, which developed from researches on cyclotomic fields from the later parts of the 1950s. Before that he worked on Lie groups and Lie algebras, introducing the general Iwasawa decomposition.

Among Iwasawa's most famous students are Robert F. Coleman, Ralph Greenberg, Gustave Solomon, Larry Washington, and Eugene M. Luks.

## List of books available in English

*Lectures on p-adic L-functions*/ by Kenkichi Iwasawa (1972)*Local class field theory*/ Kenkichi Iwasawa (1986) ISBN 0-19-504030-9[1]*Algebraic functions*/ Kenkichi Iwasawa ; translated by Goro Kato (1993) ISBN 0-8218-4595-0- Iwasawa, Kenkichi (2001), Satake, Ichiro; Fujisaki, Genjiro; Kato, Kazuya; Kurihara, Masato; Nakajima, Shoichi; Coates, John (eds.),
*Collected papers. Vol. I, II*, Berlin, New York: Springer-Verlag, ISBN 978-4-431-70314-3, MR 1851503

## See also

## References

- Hazewinkel, Michiel (1989). "Review of
*Class field theory*by Jürgen Neukirch and*Local class field theory*by Kenkichi Iwasawa".*Bull. Amer. Math. Soc. (N.S.)*.**21**: 95–101. doi:10.1090/S0273-0979-1989-15772-8.

- Coates, John (1999), "Kenkichi Iwasawa (1917--1998)",
*Notices of the American Mathematical Society*,**46**(10): 1221–1225, MR 1715578, Zbl 1194.01081 - O'Connor, John J.; Robertson, Edmund F., "Kenkichi Iwasawa",
*MacTutor History of Mathematics archive*, University of St Andrews.