Jump to content

Jacob E. Goodman

From Wikipedia, the free encyclopedia
Jacob E. Goodman
Born(1933-11-15)November 15, 1933
DiedOctober 10, 2021(2021-10-10)(aged 87)
NationalityAmerican
Alma materNew York University
Columbia University
AwardsFellow of the American Mathematical Society(2012)
Scientific career
FieldsMathematics,Music
InstitutionsCity College of New York
Doctoral advisorHeisuke Hironaka[1]

Jacob Eli Goodman(November 15, 1933 – October 10, 2021[2]) was an American geometer who spent most of his career at theCity College of New York,where he was professor emeritus.[3]

Research

[edit]

Together, he andRichard M. Pollack,his long-term collaborator, introduced concepts such as "allowable sequences of permutations" and "wiring diagrams",[4]which have played an important role indiscrete geometry,specifically in the study of arrangements ofpseudolinesand (more generally)oriented matroids.His work with Pollack includes such results as the first nontrivial bounds on the number of order types ofpolytopes,[5]and a generalization of theHadwiger transversal theoremto higher dimensions.[6]He and Pollack were the founding editors of the journalDiscrete & Computational Geometry.[7]

Goodman was the originator of the "pancake problem", an elementary question on permutations which he published under the pseudonym Harry Dweighter.[8][9]The problem gave rise to the concept ofpancake sorting.[9][10][11]

Goodman co-edited the bookHandbook of Discrete and Computational GeometrywithJoseph O'Rourke.[12]

Music

[edit]

In 1999, Goodman returned to an old love, musical composition, and in 2002 was founding president of the New York Composers Circle.[13][14]

Awards

[edit]

In 2012 he became a fellow of theAmerican Mathematical Society.[15]

Selected publications

[edit]
  • Dweighter, Harry; Garey, Michael R.; Johnson, David S.; Lin, Shen (1977), "Solutions of Elementary Problem E2569",American Mathematical Monthly,84:296,doi:10.2307/2318878,JSTOR2318878.
  • Goodman, Jacob E. (1980), "Proof of a conjecture of Burr, Grünbaum, and Sloane",Discrete Mathematics,32:27–35,doi:10.1016/0012-365x(80)90096-5.
  • Goodman, Jacob E.;Pollack, Richard(1983), "Multidimensional sorting",SIAM Journal on Computing,12(3): 484–507,doi:10.1137/0212032.
  • Goodman, Jacob E.;Pollack, Richard(1984), "Semispaces of configurations, cell complexes of arrangements",Journal of Combinatorial Theory,Series A,37(3): 257–293,doi:10.1016/0097-3165(84)90050-5.
  • Goodman, Jacob E.;Pollack, Richard(1995), "Foundations of a theory of convexity on affine Grassmann manifolds",Mathematika,42(2): 305–328,doi:10.1112/s0025579300014613.
  • Goodman, Jacob E.;Pollack, Richard;Sturmfels, Bernd(1990), "The intrinsic spread of a configuration in R^d",Journal of the American Mathematical Society,3:639–651,doi:10.1090/s0894-0347-1990-1046181-2
  • Cappell, Sylvain;Goodman, Jacob E.;Pach, János;Pollack, Richard;Sharir, Micha;Wenger, Rephael (1994), "Common tangents and common transversals",Advances in Mathematics,106(2): 198–215,doi:10.1006/aima.1994.1056.
  • Goodman, Jacob E.;Pach, János;Pollack, Richard, eds. (2008),Surveys on Discrete and Computational Geometry: Twenty Years Later,Contemporary Mathematics, vol. 453, American Mathematical Society.

References

[edit]
  1. ^Jacob Eli Goodmanat theMathematics Genealogy Project
  2. ^"Jacob E. Goodman".New York Composers Circle. Archived from the original on 2023-01-28.{{cite web}}:CS1 maint: unfit URL (link)
  3. ^"Department of Mathematics, CCNY --- People".math.sci.ccny.cuny.edu.Archived fromthe originalon 2007-10-24.
  4. ^Bjorner, Anders;Las Vergnas, Michel;Sturmfels, Bernd;White, Neil;Ziegler, Günter M.(1999),Oriented Matroids, 2nd Ed.,Encyclopedia of Mathematics and its Applications, vol. 46, Cambridge University Press
  5. ^Goodman, Jacob E.;Pollack, Richard(1986), "There are asymptotically far fewer polytopes than we thought",Bulletin of the American Mathematical Society,46:127–129,doi:10.1090/s0273-0979-1986-15415-7
  6. ^Goodman, Jacob E.;Pollack, Richard(1988), "Hadwiger's transversal theorem in higher dimensions",Journal of the American Mathematical Society(1): 301–309
  7. ^"Discrete & Computational Geometry".Discrete & Computational Geometry.Springer Science+Business Media.RetrievedNovember 17,2021.
  8. ^Dweighter, Harry (1975), "Elementary Problem E2569",American Mathematical Monthly,82:1010,doi:10.2307/2318260,JSTOR2318260
  9. ^abSingh, Simon(November 14, 2013)."Flipping pancakes with mathematics".The Guardian.RetrievedMarch 25,2014.
  10. ^"Improved Pancake Sorting".www.maa.org.Archived fromthe originalon 2008-10-26.
  11. ^"Pancake Sorting".
  12. ^Goodman, Jacob E.; O'Rourke, Joseph (2004),Handbook of Discrete and Computational Geometry,Encyclopedia of Mathematics and its Applications, 2nd Ed., vol. 46, CRC Press
  13. ^"About NYCC".Archived from the original on 2023-05-29.{{cite web}}:CS1 maint: unfit URL (link)
  14. ^"Jacob E. Goodman - New York Composers Circle".newyorkcomposerscircle.org.Archived from the original on 2017-06-27.{{cite web}}:CS1 maint: unfit URL (link)
  15. ^List of Fellows of the American Mathematical Society,retrieved 2013-01-19.