Jon M. Kleinberg

Tisch University Professor of Computer Science and Information Science and Interim Dean of Computing and Information Science

Publications

  • Networks, Crowds, and Markets: Reasoning About a Highly Connected World (with D. Easley), Cambridge University Press, (2010).
  • Algorithm Design (with E. Tardos). Addison Wesley, (2005).

John H. Hubbard

Professor

Publications

Timothy J. Healey

Professor

Joseph Halpern

Professor

John M. Guckenheimer

Abram R. Bullis Professor Emeritus of Mathematics

Publications

  • Analytic Research Foundations for the Next-Generation Electric Grid, (sixteen authors), National Academies Press, 2016, http://www.nap.edu/21919
  • Constructing predictive models of human running (with H-M. Maus, S. Revzen, C. Ludwig, J. Reger, A. Seyfarth) J. R. Soc. Interface 12:20140899 (2015).
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  • Shilnikov homoclinic bifurcation of mixed-mode oscillations (with Ian Lizarraga) , SIAM J. Appl. Dyn. Syst. 14-2 (2015), 764-786.
  • Mixed-Mode Oscillations with Multiple Time Scales (with M. Desroches, B. Krauskopf, C. Kuehn, H. Osinga and M. Wechselberger), SIAM Review 54:2 (2012), 211-288.
  • Fruit flies modulate passive wing pitching to generate in-flight turns (with A. Bergou, L. Ristroph, I. Cohen, and Z. Wang), Phys. Rev. Lett. 104 (2010), 148101.
  • Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator (with Erik Sherwood and Ronald Harris-Warrick), J. Comp. Neurosci. (2010); DOI 10.1007/s10827-010-0259-y.
  • Computing slow manifolds of saddle type (with Christian Kuehn), SIAM J. App. Dyn. Sys. 8 (2009), 854–879.
  • Dynamic Models in Biology (with Steve Ellner), Princeton U. Press, 2006, 352 pp.
  • Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields (with P. Holmes), Springer-Verlag, 1983, 453 pp.

Robert Connelly

Professor

Publications

  • Straightening polygonal arcs and convexifying polygonal cycles (with E. Demaine and G. Rote), in preparation.
  • The Kneser-Poulsen conjecture for spherical polytopes (with K. Bezdek), submitted.
  • The Kneser-Poulsen conjecture (with K. Bezdek), Crelle's Journal, J. reine angew. Math. 553 (2002), 221–236.
  • Tensegrity structures: Why are they stable?; in Rigidity Theory and Applications (M.F. Thorpe and P.M. Duxbury, eds.), Kluwer Academic/Plenum (1999), pp. 47–54.
  • Mathematics and tensegrity (with A. Back), American Scientist March-April (1998), 142–151.

Louis Billera

Professor Emeritus

Publications

  • Quasisymmetric functions and Kazhdan-Lusztig polynomials (with F. Brenti), Israel Jour. Math. 184 (2011), 317–348.
  • Peak quasisymmetric functions and Eulerian enumeration (with S. K. Hsiao and S. van Willigenburg), Advances in Mathematics 176 (2003), 248–276.
  • Geometry of the space of phylogenetic trees (with S. Holmes and K. Vogtmann), Advances in Applied Mathematics 27 (2001), 733–767.
  • Fiber polytopes (with B. Sturmfels), Annals of Math. 135 (1992), 527–549.
  • Homology of smooth splines: generic triangulations and a conjecture of Strang, Trans. Amer. Math. Soc. 310 (1988), 325–340.
  • Generalized Dehn-Sommerville relations for polytopes, spheres, and Eulerian partially ordered sets (with M. M. Bayer), Inv. Math. 79 (1985), 143–157.
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