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		<id>https://en.formulasearchengine.com/index.php?title=Hammer&amp;diff=480</id>
		<title>Hammer</title>
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		<updated>2014-01-16T20:03:03Z</updated>

		<summary type="html">&lt;p&gt;209.152.44.30: &lt;/p&gt;
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&lt;div&gt;{{Infobox scientist&lt;br /&gt;
|name              = Heisuke Hironaka&lt;br /&gt;
|image             =&lt;br /&gt;
|image_size       = &lt;br /&gt;
|birth_date        = {{birth date and age|1931|04|09|df=y}} &lt;br /&gt;
|birth_place       = Yuu-chō, Kuga-Gun, [[Yamaguchi, Yamaguchi|Yamaguchi]], Japan&amp;lt;br&amp;gt;(modern-day [[Iwakuni, Yamaguchi]], Japan)&lt;br /&gt;
|death_date        = &lt;br /&gt;
|death_place       = &lt;br /&gt;
|nationality       = [[Japan]]ese&lt;br /&gt;
|field             = [[Mathematics]]&lt;br /&gt;
|work_institutions = [[Harvard University]]&amp;lt;br&amp;gt;[[Columbia University]]&amp;lt;br&amp;gt;[[Seoul National University]]&lt;br /&gt;
|alma_mater        = Harvard University&lt;br /&gt;
|doctoral_advisor  = [[Oscar Zariski]]&lt;br /&gt;
|doctoral_students = [[William Haboush]]&amp;lt;br&amp;gt;[[Allen Tannenbaum]]&amp;lt;br&amp;gt;[[Bernard Teissier]]&lt;br /&gt;
|known_for         = &lt;br /&gt;
|prizes            = [[Fields Medal]] (1970)&lt;br /&gt;
}}&lt;br /&gt;
{{nihongo|&#039;&#039;&#039;Heisuke Hironaka&#039;&#039;&#039;|広中 平祐|Hironaka Heisuke|extra=born 9 April 1931}} is a [[Japan]]ese [[mathematician]]. He  failed the entrance examination for [[Hiroshima University]] in Japan, but after one year he passed the entrance examination for [[Kyoto University]] in Japan. After completing his undergraduate studies at [[Kyoto University]], he received his [[Doctor of Philosophy|Ph.D.]] from [[Harvard]] while under the direction of [[Oscar Zariski]]. He won the [[Fields Medal]] in 1970.&lt;br /&gt;
&lt;br /&gt;
He is celebrated for proving in 1964 that [[singular point of an algebraic variety|singularities of algebraic varieties]] admit [[resolution of singularities|resolutions]] in characteristic zero. This means that any [[algebraic variety]] can be replaced by (more precisely is [[birational equivalence|birationally equivalent]] to) a similar variety which has no singularities. He also introduced [[Hironaka&#039;s example]] showing that a deformation of Kähler manifolds need not be Kähler.&lt;br /&gt;
&lt;br /&gt;
Hironaka was for many years a Professor of mathematics at [[Harvard University]] but currently lives in [[Japan]], where he is greatly respected and influential. He is also a professor of mathematics at [[Seoul National University]] in [[South Korea]].&amp;lt;ref&amp;gt;{{cite web |first=Naeun |last=Choi |url=http://www.useoul.edu/news/news0101_view.jsp?idx=128770 |title=Fields Medal recipient appointed as SNU Professor |publisher=Useoul.edu |date=2008-11-10 |accessdate=2009-05-14}}&amp;lt;/ref&amp;gt;   He has been active in raising funds for causes such as mathematical education. He is president of the [[University of Creation; Art, Music &amp;amp; Social Work]], a private university in [[Takasaki]], [[Gunma]], Japan.&lt;br /&gt;
&lt;br /&gt;
He once wrote a paper under a pseudonym derived from [[Kobayashi Issa]], a famous Japanese haiku poet.&amp;lt;ref&amp;gt;{{cite journal&lt;br /&gt;
 | last1 = Tráng | first1 = Lê Dũng&lt;br /&gt;
 | last2 = Teissier | first2 = Bernard&lt;br /&gt;
 | doi = 10.2977/prims/1210167324&lt;br /&gt;
 | issue = 2&lt;br /&gt;
 | journal = Publications of the Research Institute for Mathematical Sciences, Kyoto University&lt;br /&gt;
 | mr = 2426345&lt;br /&gt;
 | pages = 165–177&lt;br /&gt;
 | title = On the mathematical work of Professor Heisuke Hironaka&lt;br /&gt;
 | url = http://www.kurims.kyoto-u.ac.jp/~prims/pdf/44-2/44-2-8.pdf&lt;br /&gt;
 | volume = 44&lt;br /&gt;
 | year = 2008}}.&amp;lt;/ref&amp;gt; The result is known as Issa&#039;s theorem in complex function theory.&lt;br /&gt;
&lt;br /&gt;
Hironaka is married to [[Wakako Hironaka]], a politician, and they have two children.&lt;br /&gt;
&lt;br /&gt;
== List of books available in English ==&lt;br /&gt;
* &#039;&#039;Formal functions and formal imbeddings&#039;&#039; / by Heisuke Hironaka and Hideyuki Matsumura (1967)&lt;br /&gt;
* &#039;&#039;On the characters &amp;lt;math&amp;gt;\nu&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\tau&amp;lt;/math&amp;gt; of singularities&#039;&#039; / by Heisuke Hironaka&lt;br /&gt;
* &#039;&#039;Introduction to the theory of infinitely near singular points&#039;&#039; / Heisuke Hironaka (1974)&lt;br /&gt;
* &#039;&#039;The theory of the maximal contact&#039;&#039; / José M. Aroca, Heisuke Hironaka and José L. Vicente (1975)&lt;br /&gt;
* &#039;&#039;Desingularization theorems&#039;&#039; / Jose M. Aroca, Heisuke Hironaka and Jose L. Vicente (1977)&lt;br /&gt;
* &#039;&#039;Geometric singularity theory&#039;&#039; / editors of the volume, Heisuke Hironaka, Stanisław Janeczko (2004)&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
* {{MathGenealogy |id=18752}}&lt;br /&gt;
* {{MacTutor Biography|id=Hironaka}}&lt;br /&gt;
* Jackson, Allyn; [http://www.ams.org/notices/200509/fea-hironaka.pdf Interview with Heisuke Hironaka]; &#039;&#039;Notices of the American Mathematical Society&#039;&#039;; vol. 52, no. 9 (October 2005).&lt;br /&gt;
&lt;br /&gt;
{{Fields medalists}}&lt;br /&gt;
&lt;br /&gt;
{{Authority control|PND=|LCCN=n/81/75947|VIAF=108168030|SELIBR=}}&lt;br /&gt;
&lt;br /&gt;
{{Persondata &amp;lt;!-- Metadata: see [[Wikipedia:Persondata]]. --&amp;gt;&lt;br /&gt;
| NAME              = Hironaka, Heisuke&lt;br /&gt;
| ALTERNATIVE NAMES =&lt;br /&gt;
| SHORT DESCRIPTION = Mathematician&lt;br /&gt;
| DATE OF BIRTH     = 1931-04-09&lt;br /&gt;
| PLACE OF BIRTH    = Yuu-chō, Kuga-Gun, [[Yamaguchi, Yamaguchi|Yamaguchi]] (modern-day [[Iwakuni, Yamaguchi]])&lt;br /&gt;
| DATE OF DEATH     =&lt;br /&gt;
| PLACE OF DEATH    =&lt;br /&gt;
}}&lt;br /&gt;
{{DEFAULTSORT:Hironaka, Heisuke}}&lt;br /&gt;
[[Category:1931 births]]&lt;br /&gt;
[[Category:20th-century mathematicians]]&lt;br /&gt;
[[Category:Algebraic geometers]]&lt;br /&gt;
[[Category:Fields Medalists]]&lt;br /&gt;
[[Category:Guggenheim Fellows]]&lt;br /&gt;
[[Category:Columbia University faculty]]&lt;br /&gt;
[[Category:Harvard University alumni]]&lt;br /&gt;
[[Category:Harvard University faculty]]&lt;br /&gt;
[[Category:Japanese mathematicians]]&lt;br /&gt;
[[Category:Kyoto University alumni]]&lt;br /&gt;
[[Category:Kyoto University faculty]]&lt;br /&gt;
[[Category:Living people]]&lt;br /&gt;
[[Category:Members of the French Academy of Sciences]]&lt;br /&gt;
[[Category:Foreign Members of the Russian Academy of Sciences]]&lt;br /&gt;
[[Category:Spouses of Japanese politicians]]&lt;br /&gt;
[[Category:Recipients of the Order of Culture]]&lt;br /&gt;
[[Category:Légion d&#039;honneur recipients]]&lt;/div&gt;</summary>
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