The mathematics of F. J. Almgren, Jr.

The mathematics of F. J. Almgren, Jr.
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F. J. Almgren, Jr. 的数学

DOI:
10.1007/bf02922665
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发表时间:
1998
期刊:
The Journal of Geometric Analysis
影响因子:
--
通讯作者:
B. White
B. White
中科院分区:
--
文献类型:
--
作者:
B. White

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弗雷德里克·贾斯汀·阿尔姆格伦,小弗雷德里克·贾斯汀·阿尔姆格伦,世界领先的几何分析家之一,几何变分的先驱,因骨髓发育不良于1997年2月5日去世,享年63岁。在他的整个职业生涯中,阿尔姆格伦带来了巨大的几何洞察力、技术力量和坚持不懈的决心,致力于解决他所在领域中一系列最重要和最困难的问题。他解决了其中的许多问题,并在这个过程中发现了一些想法,这些想法后来被证明对许多其他问题有用。这篇文章或多或少是对阿尔姆格伦的数学研究进行了一次年代性的考察。(本文节选刊登在1997年12月的《美国数学学会通报》上。)阿尔姆格伦也是一位杰出的教育家,他指导了19名博士生的论文工作;1997年出版的《实验数学》杂志第6卷是专门为阿尔姆格伦写的,其中包含了他的两名博士生和多位同事的回忆。1997年10月的《美国数学学会通报》上发表了一篇关于阿尔姆格伦生平的一般性文章[MD]。有关简介,请参阅[T3]。
Frederick Justin Almgren, Jr, one of the world’s leading geometric analysts and a pioneer in the geometric calculus of variations, died on February 5, 1997 at the age of 63 as a result of myelodysplasia. Throughout his career, Almgren brought great geometric insight, technical power, and relentless determination to bear on a series of the most important and difficult problems in his field. He solved many of them and, in the process, discovered ideas which turned out to be useful for many other problems. This article is a more-or-less chronological survey of Almgren’s mathematical research. (Excerpts from this article appeared in the December 1997 issue of theNotices of the American Mathematical Society.) Almgren was also an outstanding educator, and he supervised the thesis work of nineteen PhD students; the 1997 volume 6 issue of the journalExperimental Mathematics is dedicated to Almgren and contains reminiscences by two of his PhD students and by various colleagues. A general article about Almgren’s life appeared in the October 1997Notices of the American Mathematical Society [MD]. See [T3]for a brief biography.