| 词条 | Curtis Greene |
| 释义 |
Greene did his undergraduate studies at Harvard University, and earned his Ph.D. in 1969 from the California Institute of Technology under the supervision of Robert P. Dilworth.[1][2] He held positions at the Massachusetts Institute of Technology and the University of Pennsylvania before moving to Haverford. Greene has written highly cited research papers on Sperner families,[3] Young tableaux,[4] and combinatorial equivalences between hyperplane arrangements, zonotopes, and graph orientations.[5] With Daniel Kleitman, he has also written a highly cited survey paper on combinatorial proof techniques.[6] In 2012 he became a fellow of the American Mathematical Society.[7] References1. ^1 Faculty profile and home page {{webarchive|url=https://web.archive.org/web/20120413060546/http://www.haverford.edu/math/cgreene.html |date=2012-04-13 }}, Haverford College, retrieved 2012-02-20. {{authority control}}{{DEFAULTSORT:Greene, Curtis}}2. ^{{mathgenealogy|id=10410}} 3. ^{{citation | last1 = Greene | first1 = Curtis | last2 = Kleitman | first2 = Daniel J. | author2-link = Daniel Kleitman | issue = 1 | journal = Journal of Combinatorial Theory | series = Series A | mr = 0398844 | pages = 41–68 | title = The structure of Sperner k-families | volume = 20 | year = 1976 | doi=10.1016/0097-3165(76)90077-7}}. {{citation | last1 = Greene | first1 = Curtis | last2 = Kleitman | first2 = Daniel J. | author2-link = Daniel Kleitman | issue = 1 | journal = Journal of Combinatorial Theory | series = Series A | mr = 0389608 | pages = 80–88 | title = Strong versions of Sperner's theorem | volume = 20 | year = 1976 | doi=10.1016/0097-3165(76)90079-0}}. {{citation | last = Greene | first = Curtis | issue = 1 | journal = Journal of Combinatorial Theory | series = Series A | mr = 0398912 | pages = 69–79 | title = Some partitions associated with a partially ordered set | volume = 20 | year = 1976 | doi=10.1016/0097-3165(76)90078-9}} 4. ^{{citation | last = Greene | first = Curtis | journal = Advances in Mathematics | mr = 0354395 | pages = 254–265 | title = An extension of Schensted's theorem | volume = 14 | issue = 2 | year = 1974 | doi=10.1016/0001-8708(74)90031-0}}. {{citation | last1 = Edelman | first1 = Paul | last2 = Greene | first2 = Curtis | doi = 10.1016/0001-8708(87)90063-6 | issue = 1 | journal = Advances in Mathematics | mr = 871081 | pages = 42–99 | title = Balanced tableaux | volume = 63 | year = 1987}}. {{citation | last1 = Greene | first1 = Curtis | last2 = Nijenhuis | first2 = Albert | author2-link = Albert Nijenhuis | last3 = Wilf | first3 = Herbert S. | author3-link = Herbert Wilf | doi = 10.1016/0001-8708(79)90023-9 | issue = 1 | journal = Advances in Mathematics | mr = 521470 | pages = 104–109 | title = A probabilistic proof of a formula for the number of Young tableaux of a given shape | volume = 31 | year = 1979}}. 5. ^{{citation | last1 = Greene | first1 = Curtis | last2 = Zaslavsky | first2 = Thomas | author2-link = Thomas Zaslavsky | doi = 10.2307/1999604 | issue = 1 | journal = Transactions of the American Mathematical Society | mr = 712251 | pages = 97–126 | title = On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs | volume = 280 | year = 1983| jstor = 1999604 }}. 6. ^{{citation | last1 = Greene | first1 = Curtis | last2 = Kleitman | first2 = Daniel J. | author2-link = Daniel Kleitman | contribution = Proof techniques in the theory of finite sets | location = Washington, D.C. | mr = 513002 | pages = 22–79 | publisher = Math. Assoc. America | series = MAA Stud. Math. | title = Studies in combinatorics | volume = 17 | year = 1978}}. 7. ^List of Fellows of the American Mathematical Society, retrieved 2013-01-19. 11 : Year of birth missing (living people)|Living people|20th-century American mathematicians|21st-century American mathematicians|Harvard University alumni|California Institute of Technology alumni|Massachusetts Institute of Technology faculty|University of Pennsylvania faculty|Haverford College faculty|Combinatorialists|Fellows of the American Mathematical Society |
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