RESEARCH


Click on the associated figure to download the PDF version of the paper. Some of the material below is based upon work supported by the National Science Foundation. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the NSF.


Shape Deformation in Continuous Map Generalization
GeoInformatica (2008) to appear
Joint work with J. Danciger (Stanford), J. Mugno (Maryland), D. Sheehy (Carnegie Mellon), R. Ward (Princeton)

 

A Realization of Graph-Associahedra
Discrete Mathematics (2008) to appear
 

 

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

 

Particle Configurations and Coxeter Operads
Submitted
Joint work with S. Armstrong (Williams), M. Carr (Michigan), E. Engler (Williams), A. Leininger (MIT), M. Manapat (Berkeley)

 

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

 

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

 

Continuous Foldability of Polygonal Paper
Proceedings of the 16th Canadian Conference on Computational Geometry (2004)
Joint work with 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
Joint work with R.C. Read (Waterloo)

 

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