Curtis Greene

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

  1. 1 2 Faculty profile and home page, 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: 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 871081. 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 521470.
  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, MR 712251.
  6. ↑ Greene, Curtis; Kleitman, Daniel J. (1978), "Proof techniques in the theory of finite sets", Studies in combinatorics, MAA Stud. Math. 17, Washington, D.C.: Math. Assoc. America, pp. 22–79, MR 513002.
  7. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
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