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is a Japanese mathematician specializing in number theory. He worked in arithmetic geometry and such of its areas as Hodge theory, anabelian geometry. He introduced p-adic Teichmüller theory, Hodge–Arakelov theory, the theory of Frobenioids and mono-anabelian geometry. In 2012 he released his work on new inter-universal Teichmüller theory (IUT) which essentially extends the scope of arithmetic geometry. ==Biography== Mochizuki was an invited speaker at the International Congress of Mathematicians in 1998. Mochizuki proved Grothendieck conjecture on anabelian geometry in 1996. In 1999, he introduced Hodge–Arakelov theory. In 2008 he introduced the theory of Frobenioids and absolute mono-anabelian geometry. In 2012, he introduced Inter-universal Teichmüller theory which is an arithmetic version of Teichmüller theory for number fields endowed with an elliptic curve. In August 2012, Mochizuki released four preprints which develop inter-universal Teichmüller theory and also its applications to proof of several famous conjectures in diophantine geometry,〔(Inter-universal Teichmüller theory IV: log-volume computations and set-theoretic foundations ), Shinichi Mochizuki, August 2012〕 including the abc conjecture over every number field. The theory is very complex and involves many novel concepts and objects. It has already been verified more than 10 times by several mathematicians and more mathematicians are studying it. Mochizuki documented the relevant progress in two reports, the first in (December 2013 ) and the second in (December 2014 ). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Shinichi Mochizuki」の詳細全文を読む スポンサード リンク
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