Frederick J. Almgren, Jr.
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| Frederick Justin Almgren | |
|---|---|
| Born | July 3, 1933 Birmingham, Alabama |
| Died | February 5, 1997 (aged 63) Princeton, New Jersey |
| Nationality | USA |
| Fields | Geometric measure theory |
| Institutions | Princeton University |
| Alma mater | Brown University |
| Doctoral advisor | Herbert Federer |
| Notable students | Frank Morgan, Jean Taylor |
| Known for | Plateau's problem, theory of varifolds |
| Influenced | Geometric measure theory |
| Notable awards | Guggenheim Fellowship (1974) |
| Spouse | Jean Taylor |
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.
Almgren (2000) wrote one of the longest papers in mathematics, proving the Almgren regularity theorem that the singular set of an m-dimensional mass-minimizing surface has dimension at most m−2: he also introduced the concept of Varifold[1] as a generalized solution for the Plateau's problem in order to deal with the problem even when a concept of orientation is missing. He had 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. He was the advisor and husband of Jean Taylor.
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[edit] See also
[edit] Notes
- ^ See his books Almgren 1964, Almgren 1966 and Almgren 2001: the first one is the first exposition of his ideas, but the second book (in both its first and second editions) had and still has a wider circulation.
[edit] Bibliography
- White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society 44 (11): 1451–1456, ISSN 0002-9920, MR1488574, Zbl 0908.01017, http://www.ams.org/notices/199711/index.html.
- Lieb, Elliott H.; Taylor, Jean; Morgan, Frank; Sullivan, John; Almgren, Robert; Kusner, Robert; Marden, Albert (1997), Epstein, David, ed., "In Memoriam Frederick J. Almgren Jr., 1933—1997", Experimental Mathematics 6 (1): 1–12, MR1464578, Zbl 0883.01029, http://www.emis.de/journals/EM/restricted/6/6.1/almgren.ps.
- Mackenzie, Dana (1997), "Fred Almgren (1933–1997): lover of mathematics, family, and life's adventures", Notices of the American Mathematical Society 44 (9): 1102–1106, ISSN 0002-9920, MR1470170, Zbl 0908.01016, http://www.ams.org/notices/199709/index.html
- The New York Times, Obituary (February 8, 1997), "Frederick J. Almgren Jr., 63, Math Professor", The New York Times, http://www.nytimes.com/1997/02/08/nyregion/frederick-j-almgren-jr-63-math-professor.html, retrieved June 20, 2011
- White, Brian (1998), "The mathematics of F. J. Almgren, Jr", The Journal of Geometric Analysis 8 (5): 681–702, doi:10.1007/BF02922665, ISSN 1050-6926, MR1731057
[edit] References
- Almgren, Frederick J. Jr. (1964), The theory of varifolds: A variational calculus in the large for the
-dimensional area integrand, Princeton: Institute for Advanced Study. A set of mimeographed notes where Frederick J. Almgren, Jr. introduces varifolds for the first time. - Almgren, Frederick J. Jr. (1966), Plateau's Problem: An Invitation to Varifold Geometry, Mathematics Monographs Series (1st ed.), New York–Amsterdam: W. A. Benjamin, Inc., pp. XII+74, MR0190856, Zbl 0165.13201. The first widely circulated book describing the concept of a varifold and its applications to the Plateau's problem.
- Almgren, Frederick J. Jr. (1999), Taylor, Jean E., ed., Selected works of Frederick J. Almgren, Jr., Collected Works, 13, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-1067-5, MR1747253, Zbl 0966.01031, http://books.google.com/books?isbn=0821810677.
- Almgren, Frederick J. Jr. (2000), Taylor, Jean E.; Scheffer, Vladimir, eds., Almgren's big regularity paper. Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2, World Scientific Monograph Series in Mathematics, 1, River Edge, NJ: World Scientific Publishing Co. Inc., ISBN 9789810241087, MR1777737, Zbl 0985.49001, http://books.google.com/books?isbn=9810241089.
- Almgren, Frederick J. Jr. (2001) [1966], Plateau's Problem: An Invitation to Varifold Geometry, Student Mathematical Library, 13 (2nd ed.), Providence, RI: American Mathematical Society, pp. xvi+78, ISBN 978-0821827475, MR1853442, Zbl 0995.49001, http://books.google.com/books?id=Tk8zHPGVmBsC&printsec=frontcover#v=onepage&q&f=true. The second edition of the book Almgren 1966.
-dimensional area integrand, [edit] External links
- O'Connor, John J.; Robertson, Edmund F., "Frederick J. Almgren, Jr.", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Almgren.html.
- Frederick J. Almgren, Jr. at the Mathematics Genealogy Project.
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