Full list of publications.
Slides from recent talks.
Articles on the arXiv.
Reviews
from MathSciNet (subscription)
Department
preprint server
to appear
Combinatorial descriptions of multi-vertex 2-complexes to appear in the
Illinois
Journal of Mathematics (18 pages)
Windmills and extreme 2-cells (with D. Wise) to appear in the
Illinois
Journal of Mathematics (16 pages)
published
Constructing non-positively curved spaces and groups
in Geometeric
and cohomological methods in group theory, LMS Lecture Note
Series 358 (2009), 162--224. Survey
article.
Geometric presentations for pure braid group (with Dan Margalit)
Journal of Knot
Theory and Its Ramifications 18 (2009) 1--20.
Order independence in asynchronous cellular automata (with M. Macauley and
H. Mortveit)
Journal of
Cellular Automata 3 (2008), 37--56.
Locally quasiconvex small cancellation groups (with
D. Wise)
Transactions of the AMS
360 (2008), 237--271.
The Euler characteristic of the Whitehead automorphism group of a
free product (with C. Jensen and J. Meier) Transactions of the AMS
359 (2007), 2577--2595.
h-vectors of generalized associahedra and noncrossing partitions
(with
C. Athanasiadis,
T. Brady and
C.
Watt) International
Mathematics Research Notices (2006), Article ID 69705, 1--28. (electronic)
The integral cohomology of the group of loops (with C. Jensen and J. Meier)
Geometry and Topology
10 (2006), 759--784.
Noncrossing partitions in surprising locations. American Mathematical
Monthly 113 (2006) 598--610. (AMM version)
The length spectrum of a compact constant curvature complex is
discrete (with
N. Brady) Geometriae
Dedicata 119 (2006) 159--167.
Non-commutative Groebner bases for the commutator ideal, (with
S. Hermiller)
International
Journal of Algebra and Computation 16 (2006), 187--202.
Coherence, local quasiconvexity, and the perimeter of
2-complexes, (with D. Wise) GAFA
15 (2005), 859--927.
CAT(0) is algorithmic, (with M. Elder)
Geometriae
Dedicata 107 (2004), no. 1, 25--46.
The hypertree poset and the l2-Betti numbers of the
motion group of the trivial link
(with J. Meier)
Mathematische
Annalen 328 (2004), no. 4, 633--652.
Bounding edge degrees in triangulated 3-manifolds (with N. Brady and J. Meier)
Proceedings of the AMS
132 (2004), no. 1, 291--298.
Local-to-asymptotic topology for cocompact CAT(0) complexes
(with N. Brady and
J. Meier) Topology and its
Applications 131 (2003), no. 2, 177--188.
Combinatorial conditions that imply word-hyperbolicity for
3-manifolds (with M. Elder and J. Meier)
Topology 42 (2003), no. 6, 1241--1259.
Rigidity of Coxeter groups and Artin groups (with N. Brady,
B. Muehlherr, and W. Neumann)
Geometriae
Dedicata
94 (2002), no. 1, 91--109.
Curvature testing in 3-dimensional metric polyhedral complexes,
(with M. Elder) Experimental Mathematics 11
(2002), no. 1, 143--158.
Fans and ladders in small cancellation theory, (with D. Wise) Proceedings of
the LMS 84 (2002), no. 3, 599--644.
The pure symmetric automorphisms of a free group form a duality
group (with N. Brady, J. Meier, and
A. Miller) Journal of
Algebra 246 (2001), no. 2, 881--896.
Normal forms for free aperiodic semigroups, International
Journal of Algebra and Computation 11 (2001), no. 5,
581--625.
Three-generator Artin groups of large type are biautomatic
(with T. Brady)
J. of Pure and Applied
Algebra, 151 (2000), 1--9.
General small cancellation theory, International
Journal of Algebra and Computation. 10 (2000), no. 1,
1--172. The article is also availabe in several sections.
Burnside groups and small cancellation theory Groups
St. Andrews 1997 in Bath, II, 538--559, London Math. Soc. Lecture
Note Ser., 261, Cambridge Univ. Press, Cambridge, 1999. This
is a survey article which provides an overview of the "General Small
Cancellation Theory" article listed above.
Integrating Polynomials in Secant and Tangent
American
Mathematical Monthly 106 (1999), no. 9, 856--858.
Gaps in the categories of finite directed and finite transitive
graphs (with R. Baldinger) International
Journal of Algebra and Computation 8 (1998), no. 1,
35--60.
submitted
Dynamics groups of asynchronous cellular automata (with M. Macauley and
H. Mortveit)
(22 pages)
Braids, posets and orthoschemes (with T. Brady) (33 pages)
Triangles, squares and geodesics (with R. Levitt) (34 pages)
preprints
An introduction to Garside structures (28 pages)
software
The 0/1-Borsuk conjecture is generically true for each fixed
diameter, (with G. Ziegler)
unpublished (8 pages)