to appear
Geometric presentations for pure braid group (with Dan Margalit)
to appear in Journal of Knot Theory and Its Ramifications (18 pages)
Order independence in asynchronous cellular automata (with M. Macauley and
H. Mortveit)
to appear in the Journal of
Cellular Automata (17 pages)
Locally quasiconvex small cancellation groups (with
D. Wise) to appear in
the Transactions of the AMS (35 pages)
Constructing non-positively curved spaces and groups. Survey
article to appear in the proceedings of the Durham Symposium on
geometry and cohomology in group theory. (51 pages)published
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.[Earlier versions here and here]
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.
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.preprints
An introduction to Garside structures (28 pages)[under revision] Geometric semigroup theory, (with J. Rhodes) (40 pages)
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