Английская Википедия:Frederick J. Almgren Jr.
Шаблон:Short description Шаблон:Infobox scientist Frederick Justin Almgren Jr. (July 3, 1933 – February 5, 1997) was an American mathematician working in geometric measure theory. He was born in Birmingham, Alabama.
Almgren received a Guggenheim Fellowship in 1974. Between 1963 and 1992 he was a frequent visiting scholar at the Institute for Advanced Study in Princeton.[1]
Almgren wrote one of the longest papers in mathematics,[2] proving what is now called the Almgren regularity theorem: the singular set of an m-dimensional mass-minimizing surface has dimension at most m−2. He also developed the concept of varifold,[3] first defined by L. C. Young in Шаблон:Harv,[4] 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.
Almgren 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. His son, Robert F. Almgren, is an applied mathematician working on market microstructure and trade execution.
Almgren died in Princeton, New Jersey on February 5, 1997, aged 63.
Selected publications
- Шаблон:Citation. A set of mimeographed notes in which Frederick J. Almgren Jr. introduces the term "varifold" for the first time.
- Шаблон:Citation. The first widely circulated book describing the concept of a varifold and its applications to the Plateau's problem.
- Шаблон:Citation.
- Шаблон:Citation.
- Шаблон:Citation. The second edition of the book Шаблон:Harv.
Notes
References
Biographical references
General references
Scientific references
See also
External links
- ↑ According to [[#Шаблон:Harvid|Almgren's Community of Scholars web site Profile]] and to Шаблон:Harv: the latter reference lists his appointments at the Institute only up to 1978.
- ↑ Published in book form as Шаблон:Harv.
- ↑ See his mimeographed notes Шаблон:Harv and his book Шаблон:Harv: the former one is the first exposition of his ideas, but the book (in both its first and second editions Шаблон:Harv) had and still has a wider circulation.
- ↑ Young calls these geometric objects generalized surfaces: in his commemorative papers describing the research of Almgren, Шаблон:Harvs writes that these are "essentially the same class of surfaces".
- Английская Википедия
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- 20th-century American mathematicians
- Institute for Advanced Study visiting scholars
- Princeton University faculty
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