Curtis Greene

{{short description|American mathematician}}

Curtis Greene is an American mathematician, specializing in algebraic combinatorics. He is the J. McLain King Professor of Mathematics at Haverford College in Pennsylvania.[http://www.haverford.edu/faculty/cgreene Faculty profile] and [http://www.haverford.edu/math/cgreene.html 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.

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.{{mathgenealogy|id=10410}} 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,{{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| doi-access = free

}}. {{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| doi-access = free

}}. {{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| doi-access = free

}} Young tableaux,{{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|doi-access=free}}. {{citation

| last1 = Edelman | first1 = Paul

| last2 = Greene | first2 = Curtis

| doi = 10.1016/0001-8708(87)90063-6|doi-access=free

| 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|doi-access=free

| 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}}. and combinatorial equivalences between hyperplane arrangements, zonotopes, and graph orientations.{{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

| doi-access = free

}}. With Daniel Kleitman, he has also written a highly cited survey paper on combinatorial proof techniques.{{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}}.

In 2012 he became a fellow of the American Mathematical Society.[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-01-19.