Photoacoustic Doppler effect

2013-11-21T19:22:58Z

129.63.253.67: /* Application */

{{Infobox scientist
| name = Leon Melvyn Simon
| image = Leon Simon.jpeg
| image_size =
| alt =
| caption = Leon Simon in 2005 (photo from [[MFO]]{{disambiguation needed|date=October 2013}})
| birth_date = {{Birth date|1945|07|06}}
| birth_place =
| death_date = 
| death_place =
| residence =
| citizenship =
| nationality =
| fields = [[Geometric measure theory]], [[harmonic map]]s, [[partial differential equation]]s
| workplaces = [[University of Adelaide]], [[Flinders University]], [[Australian National University]], [[University of Melbourne]], [[University of Minnesota]], [[ETH Zurich]], [[Stanford University]]
| alma_mater = [[University of Adelaide]]
| doctoral_advisor = [[James H. Michael]]
| academic_advisors =
| doctoral_students = [[Richard Schoen]], [[Neshan Wickramasekera]]
| notable_students =
| known_for = Regularity problem for [[codimension]]–1 <math>n</math>–dimensional [[minimal surface]]s
| influenced = [[Geometric measure theory]]
| awards = [[Australian Mathematical Society Medal]] 1983, [[List of Fellows of the Australian Academy of Science|Fellow of the Australian Academy of Science]] 1983, [[Bôcher Memorial Prize]] 1994, [[Fellow of the American Academy of Arts and Sciences]] 1994, [[Fellow of the Royal Society]] 2003
| signature = 
| signature_alt =
| footnotes =
| spouse =
}}

'''Leon Melvyn Simon''' is a [[Bôcher Memorial Prize|Bôcher Prize]]-winning<ref name="bprize">See {{harv|AMS|1994}}.</ref> [[mathematician]]. He is currently Professor in the Mathematics Department at [[Stanford University]].

==Biography==

===Academic career===
Leon Simon, born July 6, 1945, received his B.Sc from the [[University of Adelaide]] in 1967, and his Ph.D. in 1971 from the same institution, under the direction of [[James H. Michael]]. His doctoral thesis was titled ''Interior Gradient Bounds for Non-Uniformly Elliptic Equations''. He was employed from 1968 to 1971 as a Tutor in Mathematics by the University.

Simon has since held a variety of academic positions. He worked first at [[Flinders University]] as a lecturer, then at [[Australian National University]] as a professor, at the [[University of Melbourne]], the [[University of Minnesota]], at [[ETH Zurich]], and at Stanford. He first came to Stanford in 1973 as Visiting Assistant Professor and was awarded a full professorship in 1986.

===Honours===
In 1983 Simon was awarded the [[Australian Mathematical Society Medal]]. In the same year he was elected as a [[List of Fellows of the Australian Academy of Science|Fellow]] of the [[Australian Academy of Science]].
In 1994, he was awarded the [[Bôcher Memorial Prize]].<ref name="bprize"/><ref name="bbio">See his brief biography {{harv|Walker|2006}}.</ref><ref name="ebio">See his [http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Simon.html extended biography] at the [[MacTutor History of Mathematics Archive]].</ref> The Bôcher Prize is awarded every five years to a groundbreaking author in [[mathematical analysis|analysis]]. In the same year he was also elected a [[fellow of the American Academy of Arts and Sciences]].<ref name="bbio"/><ref name="ebio"/> In May 2003 he was elected a [[fellow of the Royal Society]].<ref>See the list of {{cite web | url=http://royalsociety.org/about-us/fellowship/fellows/|title= Fellows|publisher= Royal Society |accessdate = 15 October 2010}} available at the [[Royal Society]] web site.</ref> In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-07-20.</ref>

==Work==

===Research activity===
He has an [[Erdős number]] of 3. He has authored several mathematics textbooks, including the ''Lectures on Geometric Measure Theory''<ref>This is basically a textbook describing many results in [[geometric measure theory]] and the mathematical tools used in this field: see {{harv|Simon|1984}}.</ref> and ''An Introduction to Multivariable Mathematics''. He published the [[monograph]] ''Theorems on regularity and singularity of energy minimizing maps'' in 1996, based in part on lectures he gave at [[Eidgenössische Technische Hochschule]] (ETH) in Zürich.

===Teaching activity===
Simon has more than 100 'mathematical descendants', according to the [[Mathematics Genealogy Project]].<ref>See the entry "''[http://genealogy.math.ndsu.nodak.edu/id.php?id=38879 Leon M. Simon]''" at the [[Mathematics Genealogy Project]].</ref> Among his doctoral students there is [[Richard Schoen]], a former winner of the Bôcher Memorial Prize.

==See also==
*[[Geometric measure theory]]
*[[Harmonic map]]
*[[Minimal surface]]

==References==
{{reflist|30em}}

==Bibliography==
*{{Citation
| last = AMS
| first =
| author-link = American Mathematical Society
| title = Leon Simon receives 1994 Bôcher Memorial Prize
| journal = [[Notices of the American Mathematical Society]]
| volume = 41
| issue = 2
| pages = 99–100
|date=February 1994
| language =
| url =
| jstor =
| archiveurl =
| archivedate =
| doi =
| id =
| mr = 1262536
| zbl =
}}.
*{{MacTutor|id=Simon|title=Leon Melvyn Simon|date=November 2006}}
*{{Citation
| last = Walker
| first = Rosanne
| contribution = Simon, Leon (1945 – )
| date = 25 May 2006
| origyear = 2001
| title = [[Encyclopedia of Australian Science]]
| place = Melbourne
| publisher = [[eScholarship Research Centre]]
| contribution-url = http://www.eoas.info/biogs/P003748b.htm
| id =
}}.

==References==
*{{Citation
| last = Simon
| first = Leon
| author-link =
| title = Lectures on Geometric Measure Theory
| place = [[Canberra]]
| publisher = [[Centre for Mathematics and its Applications|Centre for Mathematics and its Applications (CMA)]], [[Australian National University]]
| series = Proceedings of the Centre for Mathematical Analysis
| volume = 3
| year = 1984
| pages =VII+272 (loose errata)
| language =
| url = http://maths.anu.edu.au/research.publications/proceedings/003/
| doi =
| id =
| isbn = 0-86784-429-9
| mr = 0756417
| zbl = 0546.49019
}}.

==External links==
*{{MathGenealogy|id=38879|title=Leon M. Simon}}

{{Authority control|VIAF=108409773}}

{{Persondata 
| NAME =Simon, Leon
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = Australian mathematician
| DATE OF BIRTH = 1945
| PLACE OF BIRTH =
| DATE OF DEATH =
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Simon, Leon}}
[[Category:1945 births]]
[[Category:Living people]]
[[Category:Australian mathematicians]]
[[Category:Fellows of the Royal Society]]
[[Category:Stanford University Department of Mathematics faculty]]
[[Category:Fellows of the Australian Academy of Science]]
[[Category:Fellows of the American Mathematical Society]]

formulasearchengine - User contributions [en]

Photoacoustic Doppler effect