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 .
10-408: Iwasawa may refer to: Kenkichi Iwasawa ( 岩澤 健吉 , 1917–1998) , Japanese mathematician Iwasawa decomposition , a mathematical group decomposition Iwasawa group , a mathematical group whose subgroup lattice is modular Iwasawa manifold , a mathematical six-dimensional space Iwasawa Station , railway station Masami Iwasawa ( 岩沢 まさみ ) ,
20-580: A character from the anime, Angel Beats! Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title Iwasawa . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Iwasawa&oldid=1145353690 " Categories : Disambiguation pages Disambiguation pages with surname-holder lists Hidden categories: Articles containing Japanese-language text Short description
30-535: A new proof of the Manin-Mumford conjecture , originally proved by Michel Raynaud . Coleman is also known for introducing p-adic Banach spaces into the study of modular forms and discovering important classicality criteria for overconvergent p-adic modular forms. With Barry Mazur , he introduced the eigencurve and established some of its fundamental properties. In 1990, Coleman found a gap in Manin's proof of
40-618: Is different from Wikidata All article disambiguation pages All disambiguation pages Kenkichi Iwasawa 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
50-416: 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 . Robert F. Coleman Robert Frederick Coleman (November 22 1954 – March 24, 2014) was an American mathematician , and professor at
60-545: The University of California, Berkeley . After graduating from Nova High School , he completed his bachelor's degree at Harvard University in 1976 and subsequently attended Cambridge University for Part III of the mathematical tripos . While there John H. Coates provided him with a problem for his doctoral thesis ("Division Values in Local Fields"), which he completed at Princeton University in 1979 under
70-676: 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
80-482: The advising of Kenkichi Iwasawa . He then had a one-year postdoctoral appointment at the Institute for Advanced Study and then taught at Harvard University for three years. In 1983, he moved to University of California, Berkeley . In 1985, he was struck with a severe case of multiple sclerosis , in which he lost the use of his legs. Despite this, he remained an active faculty member until his retirement in 2013. He
90-801: Was also independently obtained by John Tate and is sometimes called Iwasawa–Tate theory . 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. From 1967 until his retirement in 1986, Iwasawa served as Professor of Mathematics at Princeton . He returned to Tokyo with his wife in 1987. Among Iwasawa's most famous students are Robert F. Coleman , Bruce Ferrero, Ralph Greenberg , Gustave Solomon , Larry Washington , and Eugene M. Luks . Iwasawa
100-455: Was awarded a MacArthur fellowship in 1987. Coleman died on March 24, 2014. He worked primarily in number theory , with specific interests in p-adic analysis and arithmetic geometry . In particular, he developed a theory of p-adic integration analogous to the classical complex theory of abelian integrals. Applications of Coleman integration include an effective version of Chabauty's theorem concerning rational points on curves and
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