doctoral_advisor death_place death_date birth_place nationality fields workplaces birth_date known_for doctoral_students article_title name alma_mater
tadasi nakayama kyoto 27 august 2008 Ōbu , aichi , japan japanese mathematics kyoto university 09 february 1927 nagata ring nagata -- biran conjecture shuzo izumi shigefumi mori masayoshi nagata
 masayoshi nagata nagoya university
masayoshi nagata

masayoshi nagata -lrb- japanese : 永田 雅宜 `` nagata masayoshi '' ; february 9 , 1927 -- august 27 , 2008 -rrb- 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 .
nagata 's compactification theorem shows that varieties can be embedded in complete varieties .
