- Biography
- Selected publications Articles Books
- References
- External links
Alexander Joseph Nagel (born 13 September 1945 in New York City) is an American mathematician, specializing in harmonic analysis, functions of several complex variables, and linear partial differential equations.[1]
Biography
He received in 1966 from Harvard University his bachelor's degree and in 1971 from Columbia University his PhD under the supervision of Lipman Bers with thesis Sheaves of Holomorphic Functions with Boundary Conditions and Sheaf Cohomology in Banach Algebras.[2] At the University of Wisconsin, Madison, Nagel was from 1970 to 1972 an instructor, from 1972 to 1974 an assistant professor, from 1974 to 1977 an associate professor, and from 1977 to 2012 a full professor, retiring in December 2012 as professor emeritus. He was chair of the mathematics department in 1991–1993 and in 2011–2012, and Associate Dean for Natural Sciences in the College of Letters and Science in 1993–1998.[3]
He was a Guggenheim Fellow for the academic year 1987–1988. He shared with Stephen Wainger the Stefan Bergman Prize for 2007–2008.[4] Nagel was elected a Fellow of the American Association for the Advancement of Science in 2009 and a Fellow of the American Mathematical Society in 2012.
{{blockquote|He wrote a series of major papers on fundamental operators in complex analysis, in particular on the question of how the geometry of the underlying domains relates to concrete estimates of the kernels. A deep paper by Nagel, Stein and Wainger with the unassuming title "Balls and metrics defined by vector fields: Basic properties" had tremendous impact on many branches of analysis and geometry. Alex was a major contributor to the theory of singular Radon transforms, in various stages of development. He is also well known for a fundamental estimate on Fourier transforms of surface carried measures and related applications.[3]}}Alexander Nagel, the elder son of the philosopher Ernest Nagel, is the brother of the physicist Sidney R. Nagel.
Selected publications
Articles
- with Walter Rudin and Joel H. Shapiro: {{cite journal|title=Tangential boundary behavior of functions in Dirichlet-type spaces|journal=Annals of Mathematics|pages=331–360|year=1982|doi=10.2307/2007064}}
- with Elias M. Stein and Stephen Wainger: {{cite journal|title=Balls and metrics defined by vector fields I: Basic properties|journal=Acta Mathematica|year=1985|volume=155|issue=1|pages=103–147|url=http://projecteuclid.org/euclid.acta/1485890398}}
- with Joaquim Bruna and S. Wainger: {{cite journal|title=Convex hypersurfaces and Fourier transforms|journal=Annals of Mathematics|volume=127|issue=2|year=1988|pages=333–365|doi=10.2307/2007057}}
- with Jean-Pierre Rosay, E. M. Stein, and S. Wainger: {{cite journal|title=Estimates for the Bergman and Szegő kernels in
2{{space|1}}|journal=Annals of Mathematics|pages=113–149|year=1989|volume=129|issue=1|doi=10.2307/1971487}} - with Der-Chen Chang and E. M. Stein: {{cite journal|title=Estimates for the
-Neumann problem in pseudoconvex domains of finite type in 2{{space|1}}|journal=Acta Mathematica|volume=169|issue=1|year=1992|pages=153–228|doi=10.1007/BF02392760}} - with Michael Christ, E. M. Stein, and S. Wainger: {{cite journal|title=Singular and maximal Radon transforms: analysis and geometry|journal=Annals of Mathematics | series=Second Series|year=1999|volume=150|issue=2|pages=489–578|url=http://emis.ams.org/journals/Annals/150_2/christ_m.pdf}}
Books
- with E. M. Stein: {{cite book|title=Lectures on pseudo-differential operators: Regularity Theorems and applications to non-elliptic problems|publisher=Princeton University Press|year=1979|url=https://books.google.com/books?id=p459BgAAQBAJ}}[5]
References
1. ^{{cite web|title=Alexander Nagel (home page)|website=Mathematics Department, University of Wisconsin|url=https://www.math.wisc.edu/~nagel/}}
2. ^{{MathGenealogy|id=9273|title=Alexander Joseph Nagel}}
3. ^1 {{cite web|title=Alexander Nagel (retirement laudation)|website=Mathematics Department, University of Wisconsin|url=http://www.math.wisc.edu/~street/nagel-2013/about.pdf}}
4. ^{{cite journal|journal=Notices of the AMS|author=Jackson, Allyn|date=October 2009|volume=57|issue=9|pages=1138–1139|title=Nagel and Wainger Receive 2007–2008 Bergman Prize|url=http://www.ams.org/notices/201009/rtx100901138p.pdf}}
5. ^{{cite journal|title=Review of Lectures on pseudo-differential operators: Regularity Theorems and applications to non-elliptic problems by Alexander Nagel and E. M. Stein|author=Beals, Richard|authorlink=Richard Beals (mathematician)|journal=Bulletin of the American Mathematical Society |series=(N.S.)|volume=3|year=1980|pages=1069–1074|doi=10.1090/S0273-0979-1980-14859-4}}
2. ^{{MathGenealogy|id=9273|title=Alexander Joseph Nagel}}
3. ^1 {{cite web|title=Alexander Nagel (retirement laudation)|website=Mathematics Department, University of Wisconsin|url=http://www.math.wisc.edu/~street/nagel-2013/about.pdf}}
4. ^{{cite journal|journal=Notices of the AMS|author=Jackson, Allyn|date=October 2009|volume=57|issue=9|pages=1138–1139|title=Nagel and Wainger Receive 2007–2008 Bergman Prize|url=http://www.ams.org/notices/201009/rtx100901138p.pdf}}
5. ^{{cite journal|title=Review of Lectures on pseudo-differential operators: Regularity Theorems and applications to non-elliptic problems by Alexander Nagel and E. M. Stein|author=Beals, Richard|authorlink=Richard Beals (mathematician)|journal=Bulletin of the American Mathematical Society |series=(N.S.)|volume=3|year=1980|pages=1069–1074|doi=10.1090/S0273-0979-1980-14859-4}}
External links
- {{cite web|title=SLS 2014-10 - Alexander Nagel|date=29 February 2016|website=YouTube|url=https://www.youtube.com/watch?v=4wxcBvHOvus}}
14 : 20th-century American mathematicians|21st-century American mathematicians|Harvard University alumni|Columbia University alumni|University of Wisconsin–Madison faculty|Fellows of the American Association for the Advancement of Science|Fellows of the American Mathematical Society|Guggenheim Fellows|Complex analysts|Mathematical analysts|1945 births|Living people|Scientists from New York City|Mathematicians from New York (state)
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