Click on the associated figure to download the PDF version of the paper. Most of this work is supported by the National Science Foundation, with additional funding by DARPA, the Mellon Foundation, and the Whiting Fellowship. Any opinions, findings, and conclusions are those of the author(s) and do not necessarily reflect the views of these organizations.

  Polyhedral Covers of Tree Space
  preprint (2013)
  D. Huang (Cornell), D. Spadacene (Michigan)


  Convex Polytopes from Nested Posets
  preprint (2013)
  S. Forcey, S. Reisdorf, P. Showers (Akron)


  Diagonalizing the Genome II: Toward Possible Applications
  preprint (2012)
  J. Morava (Johns Hopkins)


  Diagonalizing the Genome I: Navigation in Tree Spaces
  preprint (2010, 2012)
  J. Morava (Johns Hopkins)


  Skeletal Configurations of Ribbon Trees
  Discrete Applied Mathematics   (to appear)
  H. Cheng (Arizona), B. Li (Williams), A. Risteski (Princeton)


  The Shape of Associativity
  Canadian Mathematical Society Notes 44 (2012) 12-14


  Deformations of Associahedra and Visibility Graphs
  Contributions to Discrete Mathematics 7 (2012) 68-81
  R. Shah (Williams), X. Shao (MIT), E. Winston (Bard)


  What makes a Tree a Straight Skeleton?
  Proceedings of CCCG (2012)
  O. Aichholzer (Graz), H. Cheng (Arizona), T. Hackl (Graz),
  S. Huber (Salzburg), B. Li (Williams), A. Risteski (Princeton)


  Moduli Spaces of Punctured Poincaré Disks
  Tamari Memorial Festschrift: Progress in Mathematics Volume 299 (2012)
  B. Fehrman (Chicago), T. Heath (Columbia), A. Vashist (Michigan)


  Triple Infinity
  Esopus Magazine (fall 2011)
  A. Shotz (artist), P. Natarajan (Yale cosmologist)


  Pseudograph Associahedra
  Journal of Combinatorial Theory, Series A 118 (2011) 2035-2055
  M. Carr (Brandeis), S. Forcey (Tenessee State)


  Deformations of Bordered Surfaces and Convex Polytopes
  Notices of the American Mathematical Society 58 (2011) 530-541
  T. Heath (Columbia), C. Vipismakul (UT Austin)


  Particle Configurations and Coxeter Operads
  Homotopy and Related Structures 4 (2009) 83-109
  S. Armstrong (Williams), M. Carr (Michigan), E. Engler (Williams),
  A. Leininger (MIT), M. Manapat (Berkeley)


  Shape Deformation in Continuous Map Generalization
  GeoInformatica 13 (2009) 203- 221
  J. Danciger (Stanford), J. Mugno (Maryland), D. Sheehy (Carnegie Mellon),
  R. Ward (Princeton)


  A Realization of Graph Associahedra
  Discrete Mathematics 309 (2009) 271-276


  Marked Tubes and the Graph Multiplihedron
  Algebraic and Geometric Topology 8 (2008) 2081-2108
  S. Forcey (Tenessee State)


  Juggling Braids and Links
  The Mathematical Intelligencer (2007) 15-22
  J. Mugno (Maryland)


  Compatible Triangulations and Point Partitions by Series-Triangular Graphs
  Computational Geometry: Theory and Applications 34 (2006) 195-202
  J. Danciger (Santa Barbara), D. Sheehy (Princeton)


  Coxeter Complexes and Graph-Associahedra
  Topology and its Applications 153 (2006) 2155-2168
  M. Carr (Michigan)


  Continuous Foldability of Polygonal Paper
  Proceedings of CCCG (2004)
  E. Demaine (MIT), J. Mitchell (Stony Brook), J. O'Rourke (Smith)


  Combinatorial Equivalence of Real Moduli Spaces
  Notices of the American Mathematical Society 51 (2004) 620-628


  A Space of Cyclohedra
  Discrete and Computational Geometry 29 (2003) 61-75


  Cellular Structures determined by Polygons and Trees
  Annals of Combinatorics 5 (2001) 71-98
  R.C. Read (Waterloo)


  Tessellations of Moduli Spaces and the Mosaic Operad
  Contemporary Mathematics 239 (1999) 91-114