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Heisuke Hironaka : ウィキペディア英語版 | Heisuke Hironaka
is a Japanese mathematician. He entered Kyoto University in 1949. After completing his undergraduate studies at Kyoto University, he received his Ph.D. in 1960 from Harvard while under the direction of Oscar Zariski.〔(【引用サイトリンク】title=Meet the 2011 Centennial Medalists )〕〔(【引用サイトリンク】title=GSAS ALUMNI )〕 He was awarded the Fields Medal in 1970.〔(【引用サイトリンク】title=Fields Medallists )〕 He is celebrated for proving in 1964 that singularities of algebraic varieties admit resolutions in characteristic zero. This means that any algebraic variety can be replaced by (more precisely is birationally equivalent to) a similar variety which has no singularities. He also introduced Hironaka's example showing that a deformation of Kähler manifolds need not be Kähler. Hironaka was for many years a Professor of mathematics at Harvard University (1968-1992) but currently lives in Japan. He held teaching positions at Brandeis University (1960-1963), Columbia University (1964) and Kyoto University (1975-1988).〔(【引用サイトリンク】title=Professor Emeritus )〕 He was a president of Yamaguchi University (1996-2002).〔(【引用サイトリンク】title=Former President of Yamaguchi University )〕 He has been active in raising funds for causes such as mathematical education. == Story == Hironaka spoke about the singularity problem of algebraic varieties at the Mathematical Society of Japan. He proposed that he attempts to form a first studies with a variety of restriction conditions than generally think because there is too difficult problem. At that time, Kiyoshi Oka rises, he said"To solve the problem, instead of going with the limit as Hironaka proposed,you should solve by setting a difficult problem that is more idealized conversely rather. Then, Hironaka solved in the idealized form by removing the restriction,It became the winning performance of the Fields Medal.
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