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Frederick Justin Almgren, Jr. (July 3, 1933, Birmingham, Alabama – February 5, 1997, Princeton, New Jersey) was a mathematician working in geometric measure theory. He received a Guggenheim Fellowship in 1974. Between 1963 to 1992 he was a frequent visiting scholar at the Institute for Advanced Study in Princeton.〔According to and to : the latter reference lists his appointments at the Institute only up to 1978.〕 He wrote one of the longest papers in mathematics,〔Published in book form as .〕 proving what is now called the Almgren regularity theorem: the singular set of an -dimensional mass-minimizing hypersurface has dimension at most : he also developed the concept of Varifold,〔See his mimeographed notes and his book : the former one is the first exposition of his ideas, but the book (in both its first and second editions ) had and still has a wider circulation.〕 first defined by L. C. Young in ,〔Young calls these gemetric objects ''generalized surfaces'': in his commemorative papers describing the research of Almgren, writes that these are "''essentially the same class of surfaces''".〕 and proposed them as generalized solutions to Plateau's problem, in order to deal with the problem even when a concept of orientation is missing. He played also an important role in the founding of ''The Geometry Center''. He was a student of Herbert Federer, one of the founders of geometric measure theory, and was the advisor and husband (as his second wife) of Jean Taylor. His daughter, Ann S. Almgren, is an applied mathematician who works on computational simulations in astrophysics. ==Selected publications== *. A set of mimeographed notes where Frederick J. Almgren, Jr. introduces the term "''varifold''" for the first time. *. The first widely circulated book describing the concept of a varifold and its applications to the Plateau's problem. *. *. *. The second edition of the book . 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「Frederick J. Almgren, Jr.」の詳細全文を読む スポンサード リンク
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