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|Native name||加藤 和也|
17 January 1952|
|Alma mater||University of Tokyo|
|Institutions||University of Chicago|
|Doctoral advisor||Yasutaka Ihara|
Kazuya Kato (加藤 和也 Katō Kazuya, born on January 17, 1952) is a Japanese mathematician. He grew up in the prefecture of Wakayama in Japan. He attended college at the University of Tokyo, from which he also obtained his master's degree in 1975, and his PhD in 1980. He was a professor at Tokyo University, Tokyo Institute of Technology and Kyoto University. He joined the faculty of the University of Chicago in 2009.
He has contributed to number theory and related parts of algebraic geometry. His first work was in the higher-dimensional generalisations of local class field theory using Milnor K-theory. It was then extended to higher global class field theory in which several of his papers were written jointly with Shuji Saito. He contributed to p-adic Hodge theory, logarithmic geometry (he was one of its creators together with Jean-Marc Fontaine and Luc Illusie), comparison conjectures, special values of zeta functions including the Birch-Swinnerton-Dyer conjecture and Bloch-Kato conjecture on Tamagawa numbers, Iwasawa theory.
A special volume of Documenta Mathematica was published in honor of his 50th birthday, together with research papers written by leading number theorists and former students it contains Kato's song on Prime Numbers.
Kato has published many books in Japanese, of which a few have already been translated into English. He wrote a book on Fermat's last theorem and is also the author of the two volumes of the trilogy on Number Theory, which have been translated into English.
- Kazuya Kato at the Mathematics Genealogy Project
- "Department of Mathematics Faculty". University of Chicago. Retrieved 23 January 2010.
- S. Bloch, I. Fesenko, L. Illusie, M. Kurihara, S. Saito, T. Saito, P. Schneider (eds.), Extra Volume of Documenta Mathematica: Kazuya Kato's Fiftieth Birthday (2003), Documenta Mathematica
- "The Imperial Prize,Japan Academy Prize,Duke of Edinburgh Prize Recipients". Japan Academy. Retrieved 23 January 2010.
- "Worldcat search". worldcat.org. Retrieved 23 January 2010.