Publications

``The Euler characteristic of the Whitehead automorphism group of a free product,'' (with C. Jensen and J. Meier) Trans. 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 Math. Monthly 113 (2006) 598-610.

``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) Inter. J. 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 $\ell^2$-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) Proc. London Math. Soc. 84 (2002), no. 3, 599-644.

``The pure symmetric automorphisms of a free group form a duality group,'' (with N. Brady, J. Meier, A. Miller) J. of Algebra 246 (2001) 881-896.

``Normal forms for free aperiodic semigroups,'' Inter. J. of Algebra and Computation, 11 (2001) pp.581-625.

``Three-generator Artin groups of large type are biautomatic,'' (with T. Brady) J. of Pure and Applied Algebra, 151 (2000), pp. 1-9.

``A General Small Cancellation Theory,'' Inter. J. of Algebra and Computation, 10 (2000), pp. 1-172.

``The Burnside Groups and Small Cancellation Theory,'' in C.M.Campbell et.al., editors, Groups St Andrews 1997 in Bath, II, vol. 261 LMS Lecture Notes Series, Cambridge University Press, 1999, pp. 538-559.

``Gaps in the Categories of Finite Directed and Finite Transitive Graphs'' (with R. Baldinger), Inter. J. of Algebra and Computation 8 (1998), pp. 35-60.

``Gaps Between Connected Finite Graphs'' (with R. Baldinger), Inter. J. of Algebra and Computation 2 (1992), pp. 19-32.

``The Solution to the Word Problem for the Relatively Free Semigroups Satisfying $T^a = T^{a+b}$ with $a \geq 6$,'' Inter. J. of Algebra and Computation 1 (1991), pp. 1-32.

``Gaps in Categories,'' in J. Rhodes, editor, Monoids and Semigroups with Applications, pp. 83-85. World Scientific, Singapore, 1991.