v (with Marcelo Laca) Boundary quotients and ideal structure of Toeplitz
C*-algebras. (April 2006) [.pdf] [arXiv:math.GR/0604122]
v A note on relative hyperbolicity and Artin
groups (January 2006). [.pdf] [arXiv:math.GR/0601179]
v (with Bert Wiest) Quasi-isometrically
embedded subgroups of braid and diffeomorphism groups (June 2005, revised
September 2005). [.pdf]
v (with Noel Brady) On dimensions of CAT(0) and CAT(-1) complexes
with the same hyperbolic group action. [.ps]
NEW!! A freshly revised version of this paper is
available (April 2006) [revised2006.pdf]
v An algebraic loop theorem and the decomposition
of PD3-pairs, Bulletin London Math. Soc. (to appear) (A pre-acceptance version is
available here [proofs.pdf] and is distinct from the final published version available from London Mathematical Society).
v (with Noel Brady) CAT(0) and CAT(-1)
dimensions of torsion free hyperbolic groups, Comment. Math. Helv. (to
appear). [preprint-version.pdf] (a
precursor to this paper was written in 2001 : Notes on a torsion free
hyperbolic group which is CAT(0) in dimension 2 but CAT(-1) only in dimension
3. [.ps] )
v Automorphisms and abstract commensurators of 2-dimensional Artin groups,
Geometry and Topology, 9 (2005) 1381—1441. [.pdf] [Math.GR/0410205]
v (with Ruth Charney) Automorphism groups
of some affine and finite type Artin groups, Math. Res. Letters, 12
(2005) 321—333. [journal
version online]
[proofs.pdf] [arXiv:math.GR/0408412]
v (with Luisa Paoluzzi) On the
classification of CAT(0) structures for the 4-string braid group, Michigan
Math. J. 53 (2005), 133-163. [journal
version online] [proofs.pdf]
v (with Luis Paris) Representations of the braid group by
automorphisms of groups, invariants of links, and Garside groups, Pacific J.
Math. to appear (2005).
[ proofs.pdf] [arXiv:math.GR/0212138]
v (with Luis Paris) Artin groups of type B
and D, Advances in Geometry, 5 (2005), 607—636. [proofs.pdf] [arXiv:math.GR/0210438]
v (with Bert Wiest) Embeddings of graph braid and surface groups in
right-angled Artin groups and braid groups, Algebr. Geom. Topol. 4
(2004) 439—472. [arXiv:math.GR/0303217]
v (with Noel Brady) Two-dimensional
Artin groups with CAT(0) dimension three, Geometriae Dedicata 94 (2002), 185—214. [arXiv:math.GR/0012102]
v
On the CAT(0) dimension of Bestvina-Brady
groups, Algebr. Geom. Topol. 2
(2002), 923—936. [arXiv:math.GR/0211130]
v
(with Marcelo
Laca) On the Toeplitz algebras of right-angled and finite-type Artin
groups, J. Australian Math. Soc. 72 (2002), 223—245. [arXiv:math.OA/9907026]
v
(with Luis Paris) The solution to
a conjecture of Tits on the subgroup generated by the squares of the generators
of an Artin group, Math. Invent. 145 (2001), 19--36. [arXiv:math.GR/0003133]
v
(with Brian
H. Bowditch) Archimedean actions on median pretrees, Math. Proc. Camb.
Phil. Soc. 130 (2001), 383—400. [.dvi] [.ps]
v
Symmetrical
subgroups of Artin groups, Advances in Mathematics 152 (2000),
159--177. [.dvi] [.ps]
v
The
decomposition of 3-dimensional Poincaré complexes, Comment. Math.
Helv. 75 (2000) 232--246.
[.dvi] [.ps]
v
Injective maps between Artin groups, in ``Geometric
Group Theory Down Under, Proceedings of a Special Year in Geometric Group
Theory, Canberra, Australia, 1996'', ed. J. Cossey et al., de Gruyter Verlag, 1999, pp.119--137. [.dvi] [.ps].
v (with J.A. Hillman), Embedding Seifert
fibred $3$-manifolds and $Sol^3$-manifolds in $4$-space, Proc. London Math.
Soc. (3) 76 (1998) 685--710.
·
Three Topics
in Topology and Group Theory, Ph.D thesis, University of Sydney, 1997.
Abstract, Bull. Austral. Math. Soc. 58 (1998) 349--351. [.dvi].
·
Part I: Embedding 3-manifolds
in 4-space. (56 pages) [.ps] [.ps.gz]. The guts of this part of the thesis plus some extra
material appears in the joint paper with J.A. Hillman,
“Embedding Seifert fibred $3$-manifolds and $Sol^3$-manifolds in
$4$-space”, Proc. London Math. Soc. (3) 76 (1998) 685--710.
·
Part II: published in “The decomposition of
3-dimensional Poincaré complexes” [.dvi] or [.ps]
·
Part III: published in “Injective maps between Artin
groups” [.dvi] or [.ps].