Masayoshi Nagata

Masayoshi Nagata
Born	February 9, 1927(1927-02-09) Aichi Prefecture
Died	August 27, 2008(2008-08-27) (aged 81) Kyoto
Nationality	Japanese
Fields	Mathematics
Institutions	Kyoto University
Alma mater	Nagoya University
Doctoral advisor	Tadasi Nakayama
Doctoral students	Shuzo Izumi Shigefumi Mori
Known for	Nagata ring Nagata–Biran conjecture

Masayoshi Nagata (Japanese: 永田 雅宜 Nagata Masayoshi; February 9, 1927 – August 27, 2008) was a Japanese mathematician, known for his work in the field of commutative algebra.

In 1959 he brought forward a counterexample to the general case of Hilbert's fourteenth problem on invariant theory.

One of his students at Kyoto University was Shigefumi Mori.

Nagata's conjecture on curves concerns the minimum degree of a plane curve specified to have given multiplicities at given points; see also Seshadri constant. Nagata's conjecture on automorphisms concerns the existence of wild automorphisms of polynomial algebras in three variables. Recent work has solved this latter problem in the affirmative.^[1]

Selected works

• Nagata, Masayoshi Local rings. Interscience Tracts in Pure and Applied Mathematics, No. 13. Interscience Publishers (a division of John Wiley & Sons), New York-London 1962, reprinted by R. E. Krieger Pub. Co, 1975. ISBN 0882752286

References

1. ^ I. P. Shestakov, & U. U. Umirbaev (2004) J. Am. Math. Soc. 17, 197–227.

Bibliography

• Maruyama, Masaki; Masayoshi Miyanishi, Shigefumi Mori, Tadao Oda (January 2009). "Masayoshi Nagata (1927–2008)" (PDF). Notices of the American Mathematical Society 56 (1): 58. http://www.ams.org/notices/200901/tx090100056p.pdf. Retrieved 2008-12-30. 

External links

• Masayoshi Nagata at the Mathematics Genealogy Project.

Persondata
Name	Nagata, Masayoshi
Alternative names
Short description	Japanese mathematician
Date of birth	February 9, 1927
Place of birth
Date of death	August 27, 2008
Place of death