(with Paul Fendley) Link invariants, the chromatic polynomial and the Potts model, arXiv:0806.3484.
(with Paul Fendley) Tutte chromatic identities and the Temperley-Lieb algebra, arXiv:0711.0016.
A counterexample to the strong version of Freedman’s conjecture, to appear in Ann. Math.
Link groups and the A-B slice problem, to appear in Proc. of the International conference in memory of X.-S. Lin.
Link groups of 4-manifolds, arXiv:math.GT/0510507.
(with Michael Freedman) On the asymptotics of quantum SU(2)
representations of mapping class
groups, Forum Math. 18 (2006), 293-304.
Surgery and involutions on 4-manifolds, Algebr. Geom. Topol. 5 (2005), 1719-1732.
Surfaces
in 4-manifolds and the surgery conjecture, Proceedings of the Fields
Institute/McMaster Conference on Geometry and Topology of Manifolds. AMS, 2005.
Dwyer's filtration and
topology of 4-manifolds , Math. Res. Lett.
10 (2003), 247-251.
On disk embedding up to s-cobordism ,
arXiv:math.GT/0209273.
(with Ronnie Lee) Surgery on closed 4-manifolds
with free fundamental group , Math. Proc. Cambridge Philos. Soc. 133 (2002), 305--310.
Exponential
separation in 4-manifolds , Geom. Topol. 4 (2000), 397-405.
(with Frank Quinn) Subexponential groups in 4-manifold topology
, Geom. Topol. 4 (2000), 407-430.
Embedding
obstructions and 4-dimensional thickenings of 2-complexes ,
Proc. Amer. Math. Soc. 128 (2000), 3683-3691.
On
the Relative Slice Problem and Four Dimensional Topological Surgery
, Math. Ann. 315 (1999), 363-396.
Additivity properties of Milnor's m-invariants, J. Knot Theory Ramifications 7 (1998), 625-637.
(with Peter Teichner)
Alexander
duality, gropes and link homotopy , Geom. Topol. 1 (1997),
51-69.
(with Michael Freedman) Notes on ends of hyperbolic
3-manifolds, Proceedings of the 13th Annual Workshop in Geometric
Topology (1996), 1-15.
(with Michael Freedman and Peter Teichner)
Van Kampen's embedding obstruction is incomplete for
2-complexes in R4 , Math. Res. Lett. 1 (1994), 167-176.
Research was partially supported by the NSF.