翻訳と辞書 Words near each other ・ Karl Rolvaag ・ Karl Rose ・ Karl Rose (disambiguation) ・ Karl Rose (naval officer) ・ Karl Rosqvist ・ Karl Rost ・ Karl Rothammel ・ Karl Rothenburg ・ Karl Rottmanner ・ Karl Rove ・ Karl Rove in the George W. Bush administration ・ Karl Roy ・ Karl Roßmann ・ Karl Ruben ・ Karl Ruberl ・ Karl Rubin ・ Karl Rubke ・ Karl Rudolf Brommy ・ Karl Rudolf Friedenthal ・ Karl Rudolf Graf von Buol-Schauenstein ・ Karl Rudolf Hagenbach ・ Karl Rudolf Stehlin ・ Karl Rudolphi ・ Karl Ruprecht Kroenen ・ Karl Röderer ・ Karl Rübel ・ Karl Sabbagh ・ Karl Sacco ・ Karl Sack ・ Karl Salb Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Karl Rubin ： ウィキペディア英語版 Karl Rubin Karl Rubin (born January 27, 1956) is an American mathematician at University of California, Irvine as Thorp Professor of Mathematics. His research interest is in elliptic curves. He was the first mathematician (1986) to show that some elliptic curves over the rationals have finite Tate-Shafarevich groups. It is widely believed that these groups are always finite. Rubin graduated from Princeton University in 1976, and obtained his Ph.D. from Harvard in 1981. His thesis advisor was Andrew Wiles. He was a Putnam Fellow in 1974, and a Sloan Research Fellow in 1985. In 1988 he received a National Science Foundation Presidential Young Investigator award, and in 1992 won the American Mathematical Society Cole Prize in number theory. In 2012 he became a fellow of the American Mathematical Society.〔(List of Fellows of the American Mathematical Society ), retrieved 2013-07-07.〕 ==References== 〔 * 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「Karl Rubin」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.