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 edit
- ^ a b Faculty profile and home page Archived 2012-04-13 at the Wayback Machine, Haverford College, retrieved 2012-02-20.
- ^ Curtis Greene at the Mathematics Genealogy Project
- ^ 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
- ^ 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.
- ^ 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.
- ^ 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.
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.