| Masayoshi Nagata | |
|---|---|
| Born | February 9, 1927 Ōbu, Aichi, Japan |
| Died | August 27, 2008 (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]
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