Papers

My papers on the arXiv and on MathSciNet.

Published and accepted for publication:

On L-spaces and left-orderable fundamental groups (with Steve Boyer and Cameron Gordon), to appear in Mathematische Annalen, arXiv:1107.5016.

New proofs of certain finite filling results via Khovanov homology, to appear in Quantum Topology, arXiv:1010.3051.

Turaev torsion, definite 4-manifolds and quasi-alternating knots (with Josh Greene), to appear in Bulletin of the London Mathematical Society, arXiv:1106.5559.

Genus one open books with non-left-orderable fundamental group (with Yu Li), to appear in Proceedings of the American Mathematical Society, arXiv:1109.4870.

Left-orderable fundamental groups and Dehn surgery (with Adam Clay), International Mathematics Research Notices (online May 10, 2012).

Surgery obstructions from Khovanov homology, Selecta Mathematica Volume 18 Number 2 (2012).

On cabled knots, Dehn surgery, and left-orderable fundamental groups (with Adam Clay), Mathematical Research Letters, Volume 18 Number 6 (2011).

A surgical perspective on quasi-alternating links, Low-dimensional and Symplectic Topology, Volume 82 of Proceedings of Symposia in Pure Mathematics (2011).

Does Khovanov homology detect the unknot? (with Matt Hedden), American Journal of Mathematics, Volume 132 Number 5 (2010).

A remark on Khovanov homology and two-fold branched covers, Pacific Journal of Mathematics, Volume 245 Number 2 (2010).

Knots with identical Khovanov homology, Algebraic and Geometric Topology, Volume 7 (2007).

Simplification of scalar data via monotone-light factorizations (with Martin Brooks), Proceedings of the 19th Canadian Conference on Computational Geometry, (2007).

Any tangle extends to non-mutant knots with the same Jones polynomial, Journal of Knot Theory and its Ramifications, Volume 15 Number 9 (2006).

Preprints and works in preparation:

Heegaard Floer homology solid tori, in preparation.

The decategorification of bordered Floer homology (with Jen Hom, Sam Lewallen and Tye Lidman), in preparation.

On the geography and botany of knot Floer homology (with Matt Hedden), in preparation.

Non-fibered L-space knots (with Tye Lidman), submitted arXiv:1208.3917.

Graph manifolds, left-orderability and amalgamation (with Adam Clay and Tye Lidman), submitted arXiv:1106.0486.

Simplification of sampled scalar fields by removal of extrema (with Martin Brooks), NRC Technical Report (2007).

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