Research Publications
• Co-rank of weakly parafree 3-manifold groups, submitted for publication, (2017), https://arxiv.org/abs/1711.10659.
• Heegaard Floer Homology of Spatial Graphs (joint with D. O'Donnol), Algebr. Geom. Topol. 17 (2017), 1445--1525.
• Grope Metrics on the Knot Concordance Set (joint with T. Cochran and M. Powell), J. Topol. 10 (2017), 669--699.
• The Geometry of Knot Concordance Spaces (joint with T. Cochran), Algebr. Geom. Topol., in press, 20 pages, http://arxiv.org/abs/1404.5076
• The Geometry of the Knot Concordance Space (joint with T. Cochran), Workshop on ``Algebraic Structures in Low-Dimensional Topology,'' Oberwolfach Reports, Volume 11, Issue 2 (2014), 1428.
• Filtering Smooth Concordance Classes of Topologically Slice Knots (joint with T. Cochran and P. Horn), Geom. Topol. 17 (2013), 2103--2162.
• Higher-order Signature Cocycles for Mapping Class Groups and Homology Cylinders (joint with T. Cochran and P. Horn), Int. Math. Res. Not. IMRN (2012), no. 14, 3311--3373.
• Combinatorial Spatial Graph Floer Homology (joint with D. O'Donnol), Workshop on ``Four-Dimensional Manifolds,'' Oberwolfach Reports, Volume 9, Issue 2 (2012), 1740--1743.
• 2-Torsion in the n-Solvable Filtration of the Knot Concordance Group (joint with T. Cochran and C. Leidy), Proc. London Math. Soc., (3) 102 (2011), no. 2, 257--290.
• Primary Decomposition and the Fractal Nature of Knot Concordance (joint with T. Cochran and C. Leidy), Mathematische Annalen Math. Ann. 351 (2011), no. 2, 443--508.
• Derivatives of Knots and Second-Order Signatures (joint with T. Cochran and C. Leidy), Algebr. Geom. Topol., 10 (2010), 739--787.
• Homological Stability of Series of Groups (joint with T. Cochran), Pacific J. Math., Vol. 31 (2010), No. 1, 31--47.
• Knot Concordance and Higher-Order Blanchfield Duality (joint with T. Cochran and C. Leidy), Geom. Topol. 13 (2009), no. 3, 1419--1482.
• On Transverse Knots and Branched Covers (joint with K. Kawamuro and O. Plamenevskaya), Int. Math. Res. Not. IMRN (2009), no. 3, 512--546.
• Link Concordance and Generalized Doubling Operators (joint with T. Cochran and C. Leidy), Algebr. Geom. Topol., 8 (2008), 1593--1646.
• Homology and Derived p-Series of Groups (joint with T. Cochran), J. Lond. Math. Soc., Vol. 8 part 3 (2008), 677--692.
• Homology Cobordism Invariants and the Cochran-Orr-Teichner Filtration of the Link Concordance Group, Geom. Topol., Vol. 12 (2008), 387--430.
• Homology and Derived Series of Groups II: Dwyer's Theorem (joint with T. Cochran), Geom. Topol., Vol. 12 (2008), 199--232.
• Non-commutative Multivariable Reidemeister Torsion and the Thurston Norm (joint with S. Friedl), Algebr. Geom. Topol., Vol. 7 (2007), 755--777.
• New Phenomena in Knot and Link Concordance (joint with T. Cochran and C. Leidy), Workshop on ``Four-Dimensional Manifolds,'' Oberwolfach Reports, Volume 3, Issue 3 (2006), 2154--2157.
• Monotonicity of Degrees of Generalized Alexander Polynomials of Groups and 3-Manifolds, Math. Proc. Cambridge Philos. Soc. 140 (2006), no. 3, 431--450.
• Homology and Derived Series of Groups (joint with T. Cochran), Geom. Topol., Vol. 9 (2005) no. 49, pp. 2159--2191.
• Higher-Order Polynomial Invariants of 3-Manifolds Giving Lower Bounds for the Thurston Norm, Topology, Vol. 44, Iss. 5 (2005), 895--945.
• On the Cut Number of a 3-Manifold, Geom. Topol., Vol. 6 (2002) Paper no. 15, pp. 409-424.

Other
• Tim Cochran (joint with J. E. Grigsby, K. Orr, and D. Ruberman), J. Knot Theory Ramifications Vol. 26, Issue 2 (2017) pp. 1--6.
• A Research Experience for Undergraduates (joint with A. Ritter), Notices, Vol. 45, No. 2 (1998) pp. 267-269.