Selected publications

 

Searching for hyperbolicity.  arXiv

 

(with D. Murray), A rank-one CAT(0) group is determined by its Morse boundary.  arXiv

 

(with L. Paris), Convexity of parabolic subgroups in Artin groups, Bulletin London Math. Soc. 46 (2014) 12481255. arXiv

 

(with H. Sultan)  Contracting boundaries of CAT(0) spaces, Journal of Topology 8 (2015) 93117. arXiv

 

(with N. Stambaugh and K. Vogtmann) Outer Space for right-angled Artin groups, Geometry and Topology 21 (2017) 1131--1178.  arXiv

 

(with M. Margolis) Length functions of 2-dimensional right-angled Artin groups, Geometriae Dedicata 166 (2013) 31--45. arXiv

 

(with M. Farber) Random groups arising as graph products, Algebraic and Geometric Topology 12 (2012) 979-995. arXiv

 

(with J. Cohen and A. Rizk) Efficient Synthesis of a Class of Boolean Programs from I-O Data: Application to Genetic Networks_, Discrete Applied Math. 159 (2011) 410--419.  pdf

 

(with J.~Behrstock) Divergence and quasimorphisms of right-angled Artin groups, Mathematische Annalen 352 (2012) 339-356. arXiv

 

(with K. Vogtmann) Subgroups and quotients of automorphism groups of RAAGS, in Low-dimensional and Symplectic Topology, ed. by M.~Usher,

AMS Proceedings of Symposia in Pure Mathematics 82 (2011). arXiv

 

(with K. Ruane, N. Stambaugh and A. Vijayan) The automorphism group of a graph product with no SIL, Illinois J. of Math. 54 (2011) 249262.  arXiv

 

(with K.-U. Bux and K. Vogtmann) Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups, Groups, Geometry, and Dynamics 3 (2009) 525-539. arXiv

 

(with K. Vogtmann) Finiteness properties of automorphism groups of right-angled Artin groups,

Bulletin London Math. Soc. 41 (2009) 94-102. arXiv

 

Problems related to Artin Groups,

American Institute of Mathematics, Problems in Geometric Group Theory wiki.  pdf or wiki

 

(with J. Crisp and K. Vogtmann)  Automorphisms of 2-dimesnional right-angled Artin groups, 

Geometry & Topology 11 (2007) 2227-2264. pdf

 

(with J. Crisp)  Relatively hyperbolicity and Artin groups,

Geometriae Dedicata129 (2007) 1-13.  pdf

 

An introduction to right-angled Artin groups,

Geometriae Dedicata 125 (2007) 141--158.  pdf

 

(with J. Crisp) Automorphism groups of some affine and finite type Artin groups, 

Math. Res. Letters. 12 (2005) 321--333.  pdf

 

(with J. Meier)  The language of geodesics for Garside groups,  

Math. Zeitschrift 248 (2004) 495--509.  pdf

 

(with J. Meier and K. Whittlesey)  Bestvina's normal form complex and the homology of Garside groups,   

Geometriae Dedicata 105 (2004) 171--188. pdf

 

The Deligne complex of the 4-strand braid group, 

Transactions AMS 356 (2004), 3881--3897.  pdf

 

(with D. Peifer)  The K(pi,1) conjecture for the affine braid groups,

Commentari Math. Helv. 78 (2003) 584--600.  pdf

 

(with A. Lytchak)  Metric characterizations of spherical and Euclidean buildings,

Geometry and Topology 5 (2001) 521--550.  pdf

 

The Tits conjecture for locally reducible Artin groups,

Int. J. of Algebra and Computation 10 (2000), 783--797.  pdf

 

(with M. Davis)  When is a Coxeter system determined by its Coxeter group?,

J. London Math. Soc. 61 (2000), 441--461.  pdf

 

(with J. Altobelli)  A geometric rational form for Artin groups of FC type,

Geometriae Dedicata 79 (2000), 277--289.  pdf

 

Injectivity of the positive monoid for some infinite type Artin groups,  

in Geometric Group Theory Down Under, Proceedings of a Special Year in Geometric Group Theory, Canberra, Australia, ed. by J. Cossey, C. Miller, W. Neumann, and M. Shapiro, Walter De Gruyter 1999, 103--111.  pdf

 

(with M. Davis and G. Moussong)  Nonpositively curved, piecewise Euclidean structures on hyperbolic manifolds, 

Michigan Math. Journal 44 (1997), 201--208.  pdf

 

Metric geometry: connections with combinatorics,

Proceedings of FPSAC Conference, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 24 (1996), 55--69.  pdf

 

(with M. Davis)  Finite K(pi,1)'s for Artin Groups, 

in Prospects in Topology, ed. by F. Quinn, Annals of Math Study 138, Princeton University Press (1995), 110--124.  pdf

 

(with M. Davis)  The K(pi,1)-problem for hyperplane complements associated to infinite reflection groups, 

Journal of the AMS 8 (1995), 597--627.  pdf

 

(with M. Davis) The polar dual of a convex polyhedral set in hyperbolic space,

Michigan Math. Journal 42 (1995), 479--509.  pdf

 

(with M. Davis)  On the Euler characteristic of a nonpositively curved, piecewise Euclidean manifold, 

Pacific Journal of Math. 171 (1995), 117--137.  pdf

 

Geodesic automation and growth functions for Artin groups of finite type, 

Mathematische Annalen 301 (1995), 307--324.  pdf