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Curtis Greene

From Wikipedia, the free encyclopedia

Curtis Greene is an American mathematician, specializing in algebraic combinatorics. He is the J. McLain King Professor of Mathematics at Haverford College in Pennsylvania.[1]

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]

References

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  1. ^ a b Faculty profile and home page Archived 2012-04-13 at the Wayback Machine, Haverford College, retrieved 2012-02-20.
  2. ^ Curtis Greene at the Mathematics Genealogy Project
  3. ^ Greene, Curtis; Kleitman, Daniel J. (1976), "The structure of Sperner k-families", Journal of Combinatorial Theory, Series A, 20 (1): 41–68, doi:10.1016/0097-3165(76)90077-7, MR 0398844. Greene, Curtis; Kleitman, Daniel J. (1976), "Strong versions of Sperner's theorem", Journal of Combinatorial Theory, Series A, 20 (1): 80–88, doi:10.1016/0097-3165(76)90079-0, MR 0389608. Greene, Curtis (1976), "Some partitions associated with a partially ordered set", Journal of Combinatorial Theory, Series A, 20 (1): 69–79, doi:10.1016/0097-3165(76)90078-9, MR 0398912
  4. ^ Greene, Curtis (1974), "An extension of Schensted's theorem", Advances in Mathematics, 14 (2): 254–265, doi:10.1016/0001-8708(74)90031-0, MR 0354395. Edelman, Paul; Greene, Curtis (1987), "Balanced tableaux", Advances in Mathematics, 63 (1): 42–99, doi:10.1016/0001-8708(87)90063-6, MR 0871081. Greene, Curtis; Nijenhuis, Albert; Wilf, Herbert S. (1979), "A probabilistic proof of a formula for the number of Young tableaux of a given shape", Advances in Mathematics, 31 (1): 104–109, doi:10.1016/0001-8708(79)90023-9, MR 0521470.
  5. ^ Greene, Curtis; Zaslavsky, Thomas (1983), "On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs", Transactions of the American Mathematical Society, 280 (1): 97–126, doi:10.2307/1999604, JSTOR 1999604, MR 0712251.
  6. ^ Greene, Curtis; Kleitman, Daniel J. (1978), "Proof techniques in the theory of finite sets", Studies in combinatorics, MAA Stud. Math., vol. 17, Washington, D.C.: Math. Assoc. America, pp. 22–79, MR 0513002.
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.