Selected Publications

  1. Geodesic automation and growth functions for Artin groups of finite type, Math. Annalen 301 (1995), 307-324.    dvi    ps    pdf   

2.     (with M. Davis) On the Euler characteristic of a nonpositively curved piecewise euclidean manifold, Pacific J. of Math. 171 (1995), 117-137.    dvi    ps    pdf   

3.     (with M. Davis) The polar dual of a convex polyhedral set in hyperbolic space, Michigan Math. J. 42 (1995), 479-509.    dvi    ps    pdf   

4.     (with M. Davis) The K(\pi,1)-problem for hyperplane complements associated to infinite reflection groups, J. of AMS 8 (1995), 597-627.    dvi    ps    pdf   

5.     (with M. Davis) Fintie K(\pi,1)'s for Artin Groups, in Prospects in Topology, ed. by F. Quinn, Annals of Math Studies 138, Princeton Univ. Press (1995), 110-124.    dvi    ps    pdf   

6.     Metric geometry: connections with combinatorics, Proceedings of FPSCA Conference, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 24 (1996), 55-69.    dvi    ps    pdf   

7.     (with M. Davis and G. Moussong) Nonpositively curved piecewise Euclidean structures on hyperbolic manifolds, Michigan Math. J. 44 (1997), 201-208.    dvi    ps    pdf   

8.     Injectivity of the positive monoid for some infinite type Artin groups, in Geometric Group Theory Down Under, Cossey, Miller, Neumann, Shapiro, eds., de Gruyter 1999.    dvi    ps   pdf  

9.     (with M. Davis) When is a Coxeter system determined by its Coxeter group?, J. of London Math. Soc. 61 (2000), 441-461.    dvi    ps   pdf  

10.  (with J. Altobelli) A geometric Rational form for Artin groups of FC type, Geometriae Dedicata 79 (2000), 277-289.    dvi    ps   pdf  

11.  The Tits conjecture for locally reducible Artin groups, Int. J. of Algebra and Computation 10 (2000), 783-797.    dvi    ps   pdf  

12.  (with A. Lytchak) Metric Characterizations of spherical and Euclidean buildings, Geometry and Topology 5 (2001) 521-550.    dvi    ps    pdf   

13.  (with D. Peifer) The K(\pi,1) conjecture for the affine braid groups, to appear in Commentarii Math. Helv. 78 (2003) 584-600.    pdf   

14.  (with J. Meier and K. Whittlesey) Bestvina's normal form complex and the homology of Garside groups, Geometriae Dedicata 105 (2004) 171-188.   pdf   

15.  The Deligne complex for the four-strand braid group, Transactions AMS 356 (2004) 3881-3897.    pdf   

16.  (with J. Meier) The language of geodesics for Garside groups, Mathematische Zeitschrift 248 (2004) 495-509.    pdf   

17.   (with J. Crisp) Automorphism groups of some affine and finite type Artin groups, Math. Research Letters 12 (2005) 321-333.  pdf