Kenkichi Iwasawa

Short description: Japanese mathematician

Kenkichi Iwasawa

Born| (1917-09-11)September 11, 1917

Shinshuku, Japan

Died| October 26, 1998(1998-10-26) (aged 81)

Tokyo, Japan

Nationality| Japan ese
Alma mater| University of Tokyo
Known for| Iwasawa algebra
Iwasawa decomposition
Iwasawa group
Iwasawa logarithm
Iwasawa manifold
Iwasawa theory
Iwasawa–Tate theory
Cartan–Iwasawa–Malcev theorem
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

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.

## Contents

* 1 Biography
* 2 Research
* 3 List of books available in English
* 4 See also
* 5 References
* 5.1 Sources
* 6 External links

## 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.[1]

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.[2] In 1945 he was awarded a Doctor of Science degree.[1] However, this same year Iwasawa became sick with pleurisy, and was unable to return to his position at the university until April 1947.[2][1] From 1949 to 1955 he worked as assistant professor at Tokyo University.[1]

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 is sometimes called Iwasawa–Tate theory.[1][2] Iwasawa spent the next two years at the 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.[2]

From 1967 until his retirement in 1986, Iwasawa served as Professor of Mathematics at Princeton.[2] He returned to Tokyo with his wife in 1987.[2]

Among Iwasawa's most famous students are Robert F. Coleman, Bruce Ferrero, Ralph Greenberg, Gustave Solomon, Larry Washington, and Eugene M. Luks.[1][3]

## Research

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

## 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[4]
* Algebraic functions / Kenkichi Iwasawa ; translated by Goro Kato (1993) ISBN 0-8218-4595-0
* Iwasawa, Kenkichi (2001), Satake, Ichiro; Fujisaki, Genjiro; Kato, Kazuya et al., eds., Collected papers. Vol. I, II, Berlin, New York: Springer-Verlag, ISBN 978-4-431-70314-3, https://www.springer.com/mathematics/numbers/book/978-4-431-70314-3

## See also

* Iwasawa group
* Anabelian geometry
* Fermat's Last Theorem

## References

1. ↑ 1.0 1.1 1.2 1.3 1.4 1.5 Coates, John (November 1999). "Kenkichi Iwasawa (1917–1998)". Notices of the AMS 46 (10). https://www.ams.org/notices/199910/mem-iwasawa.pdf. Retrieved 25 September 2021.
2. ↑ 2.0 2.1 2.2 2.3 2.4 2.5 "120 minutes at the house of Professor Kenkichi Iwasawa". https://sites.math.washington.edu/~greenber/IwInt.html.
3. ↑ Kenkichi Iwasawa at the Mathematics Genealogy Project
4. ↑ 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.

### Sources

* Coates, John (1999), "Kenkichi Iwasawa (1917--1998)", Notices of the American Mathematical Society 46 (10): 1221–1225, https://www.ams.org/notices/199910/index.html
* O'Connor, John J.; Robertson, Edmund F., "Kenkichi Iwasawa", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Iwasawa.html .

## External links

* Kenkichi Iwasawa at the Mathematics Genealogy Project

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